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  • American Institute of Physics (AIP)  (9,667)
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  • 1995  (17,732)
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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3407-3411 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effect of aspect ratio on magnetic field fluctuations in reversed-field pinches is investigated using a three-dimensional magnetohydrodynamic code. Configurations with aspect ratios of 1.1, 2.2, and 4.4 are modeled. The results are extrapolated to aspect ratio 8.8 for comparison with the Extrap T1 experiment [Nucl. Fusion 34, 427 (1994)]. It is found that the average modal amplitudes decrease with aspect ratio. However, the spectrum broadens correspondingly, resulting in negligible effect on the magnetic fluctuation level. The computed spectrum dynamics are found to be in good agreement with experimental observations on the T1 experiment. Quantitative evaluations of the field line stochasticity indicate no dependence of the mean magnetic field diffusion rate on aspect ratio. © 1995 American Institute of Physics.
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  • 2
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3412-3419 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The impurity mode and ηi mode driven by impurity ions with outwardly peaked density profiles, near the boundary of tokamak plasmas, and the ion temperature gradient, respectively, are studied in high-temperature toroidal plasmas. The gyrokinetic theory is applied and finite Larmor radius effects of both hydrogenic and impurity ions are included. It is found that the impurity mode is enhanced by the ion temperature gradient. In addition, the impurity ions with outwardly peaked density profiles are demonstrated to have destabilizing effects on the ηi mode. These two modes are strongly coupled to each other so that it is impossible to distinguish between them when both the driving mechanisms are strong enough to drive the corresponding mode unstable independently. The correlation of the results with nonlinear simulations and the experimental observations are discussed. © 1995 American Institute of Physics.
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  • 3
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2931-2939 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Spectral numerical simulations of homogeneous incompressible magnetohydrodynamic turbulence at Reynolds mumbers up to about 500, are performed using a uniform grid of 1803 collocation points. Strong vorticity and current sheets obtain both in the presence and in the absence of magnetic nulls. Contrary to vortex sheets in hydrodynamics, these structures do not destabilize into filaments, but are locally disrupted. They are the main loci of kinetic and magnetic dissipations. © 1995 American Institute of Physics.
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  • 4
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Broad bandwidth (60 kHz ≤f≤500 kHz), long wavelength (k¯θ≤2 cm−1) density fluctuation measurements were made using a heavy ion beam probe on the Texas Experimental Tokamak (TEXT) [K. W. Gentle, Nucl. Technol./Fusion 1, 479 (1981)]. Fluctuation amplitudes and correlation length scalings do not correspond to linear or quasilinear drift wave theory. Power-weighted root-mean-square (rms) wave number estimates are much lower (〈k¯θ〉rmsρs≤0.1, ρs=[miTe]1/2/eB) than quasilinear theoretical expectations (k¯⊥ρs∼0.3). Core results indicate strong turbulence with a wave number spread, Δk∼k¯ at fixed frequency f, consistent with strong turbulence predictions, while edge results can be considered consistent with weak turbulence. In between the core and edge (0.6≤r/a≤0.8) is a transition region. © 1995 American Institute of Physics.
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  • 5
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3401-3406 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A novel type of ideal toroidal Alfvén eigenmode, localized in the low-shear core region of a tokamak plasma, is shown to exist, whose frequency is near the upper continuum of the toroidal Alfvén gap. This mode converts to a kinetic-type toroidal Alfvén eigenmode above a critical threshold that depends on aspect ratio, pressure gradient, and shear. Opposite to the usual ideal toroidal Alfvén eigenmode, this new mode is peaked in amplitude on the small-major-radius side of the plasma. © 1995 American Institute of Physics.
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  • 6
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3429-3439 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A novel mechanism for feedback stabilization of external kink modes and disruptions is proposed in which modulated radio-frequency (RF) antennas apply a stabilizing ponderomotive force (PF) to the plasma. The RF power required for n=1 kink stabilization in the Princeton Beta Experiment-Modified (PBX-M) [Phys. Fluids B 2, 1271 (1990)] is estimated, and it is shown that the idea can be tested with the existing antenna system. A simulation of a preliminary n=0 modulation experiment on PBX-M also shows that the PF can balance applied vertical field oscillations. © 1995 American Institute of Physics.
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  • 7
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3466-3472 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple model of a hot spot implosion is developed, where the key parameters are the areal density ρsRs, the central temperature Ts, and the implosion velocity v∞. The dynamics is dominated by the mechanical compressing work and the thermal conduction loss. A new type of self-similar solution is then found, describing the fluid motion in terms of ρsRs/T2s and v∞/(square root of)Ts. A scaling law for the minimum implosion velocity v∞* to reach the spark point (ρsRs,Ts) is derived: v∞*∝Ts5/2/ρsRs. The Rayleigh–Taylor (RT) instability in the stagnation phase is evaluated using the self-consistent spatial profile with density gradients, which is attributed to the thermal conduction. Substantial reduction of the RT growth is then found compared with the previous work without density gradients [Hattori et al., Phys. Fluids 29, 1719 (1986)]. © 1995 American Institute of Physics.
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  • 8
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3494-3510 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Using a Hamiltonian formalism, nonlinear, fully relativistic, multimode, multifrequency equations are derived which describe gyro-traveling wave devices. Nonuniform waveguides and nonlinearly tapered magnetic fields are incorporated into the analysis. The formalism is used to analyze the effect of velocity spread on Doppler upshifted operation. It is shown that with present technology, gyro-traveling wave devices cannot operate far from cutoff if high efficiency is desired. As an example, the analysis is applied to a 10 GHz, 430 kV, 240 A gyrotwistron operating at the fundamental cyclotron harmonic with a tapered wall radius and magnetic field. A realistic design that achieves over 30% efficiency is produced. The issue of stability of this device with respect to competition from parasitic modes is taken up in a companion paper [Phys. Plasmas 2, 3511 (1995)]. © 1995 American Institute of Physics.
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  • 9
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 3539-3540 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The discrepancy in the expression for quasi-linear ponderomotive force as obtained by Klima and Petrazilka [Czech. J. Phys. B 30, 1002 (1980)] and by Fukuyama et al. [Phys. Fluids B 5, 539 (1993)] are resolved by showing that the extra terms in the expression of Klima and Petrazilka are due to fluid helicity of the fluctuations. © 1995 American Institute of Physics.
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  • 10
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    Physics of Plasmas 2 (1995), S. 2874-2876 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The turbulent particle flux in tokamaks has an inward component, the pinch flux, which is independent of the density gradient. It is proposed that this flux represents a tendency of the particle distribution to approach turbulent equipartition, which means that the phase space density is constant on hypersurfaces defined by those invariants that are not destroyed by the turbulence. For tokamaks the two first adiabatic invariants give the peaked density profile n∼1/q of trapped particles. Sharp gradients are predicted near the separatrix of divertor plasmas. The physical mechanism of the pinch is as follows. When a parcel of trapped particles is displaced inward by the turbulent fluctuations, their parallel velocity must increase in order to keep the longitudinal invariant J constant. This is equivalent to adiabatic compression, and increases the density. The turbulence is assumed to be caused by thermally driven electrostatic modes. © 1995 American Institute of Physics.
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  • 11
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2674-2686 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A test-particle model is used to investigate the charged-particle dynamics in an intense matched ion beam with nonuniform density profile propagating through an alternating-gradient quadrupole focusing field in the space-charge-dominated regime. It is shown that self-field nonlinearities due to the transverse nonuniformity in the beam density profile not only can result in chaotic ion motion but also can cause halo formation by the ejection of particles from the beam core. The structure of the particle phase space is studied. It is shown that the process of halo formation can occur on a fast time scale—on the order of a few lattice periods. The halo size is found to be determined by a Kolmogorov–Arnold–Moser (KAM) surface on a time scale much shorter than that of Arnold diffusion. © 1995 American Institute of Physics.
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  • 12
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2717-2728 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Models to investigate the main features of plasma–neutral interactions in the recycling region of a tokamak divertor are developed for the two opposite extremes of fluid and Knudsen neutrals. Both neutral models show that a reduction of the heat flux into the hydrogen recycling region below a critical value leads to bifurcation (or rapid change) of the plasma parameters near the target. This bifurcation causes behavior in the scrape-off layer, which is in agreement with the following main features of detached divertor regimes in current tokamak experiments: (i) strong decrease of the plasma temperature near the target, (ii) plasma pressure drop in the recycling region, and (iii) strong decrease of the target heat load and plasma flux onto the target. It is also shown that in the Knudsen limit, the neutral density in the divertor region cannot exceed a maximum density, which is of the order of 1–2×1013 cm−3 for current experiments. © 1995 American Institute of Physics.
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  • 13
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    Physics of Plasmas 2 (1995), S. 2765-2772 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability and radiative performance of structured Z-pinch plasma loads heated by high-current ((approximately-greater-than)20 MA) pulsed power generators are investigated. A limited mapping of parameter space is made for the regions of stability for loads configured as thin shells, uniform fills, and multiple shells. Although large diameter thin shell loads are shown to be the most efficient radiators of K-shell x rays, they are susceptible to disruption by the Rayleigh–Taylor instability. Large diameter uniform fill loads are shown to be more stable and very good radiators. © 1995 American Institute of Physics.
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  • 14
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    Physics of Plasmas 2 (1995), S. 2815-2824 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The filamentation instability has been observed and systematically studied in a low Z plasma under a variety of density gradients and electron temperatures. Growth lengths have been measured for several plasma conditions and as a function of the spatial size of the imposed intensity perturbation. The filamentation growth is compared to a model that assumes nonlocal electron energy transport and to ponderomotive theory. © 1995 American Institute of Physics.
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  • 15
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2825-2834 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Experimental results are presented which show the formation of density channels in a preformed plasma by a 100 ps laser beam focused with different f/number lenses. The density channels are diagnosed by an interferometer. The experiments are made with both line foci and circular foci up to intensities of 5×1016 W/cm2. The experimental channel size and density perturbation compare favorably with the predictions of two-dimensional theoretical models. The limited axial extent of the channels is shown to be due to the onset of the filamentation instability. © 1995 American Institute of Physics.
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  • 16
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    Physics of Plasmas 2 (1995), S. 2839-2846 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Mode competition can present a major hurdle in achieving stable, efficient operation of a gyrotron at the cyclotron harmonics. A type of mode interaction in which three modes at different cyclotron harmonics are parametrically coupled together is analyzed here. This coupling can lead to parametric excitation or suppression of a mode; cyclic mode hopping; or the coexistence of three modes. Simulation results are presented for the parametric instability involving modes at the fundamental, second harmonic, and third harmonic of the cyclotron frequency. It is shown that the parametric excitation can lead to stable, efficient operation of a high-power gyrotron at the third harmonic. Based on this phenomenon, two practical designs are presented here for the third harmonic operation at 94 and 210 GHz. © 1995 American Institute of Physics.
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  • 17
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    Physics of Plasmas 2 (1995), S. 1801-1803 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effects of a neutral population are included in the high-mode (H-mode) bifurcation theory [Phys. Rev. Lett. 63, 2369 (1989)]. It is shown that, for a given set of parameters, there exist critical values of neutral density above which H-mode bifurcation cannot occur. However, if the neutral density is fixed, for a given ion collisionality, this implies the existence of a critical ion temperature below which H-mode bifurcation cannot occur. These critical values can be tested experimentally. © 1995 American Institute of Physics.
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  • 18
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    Physics of Plasmas 2 (1995), S. 1893-1898 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple paradox is posed that appears to challenge the second law of thermodynamics in a blackbody plasma environment. Laboratory experiments approximating salient aspects of this system fail to resolve the paradox. © 1995 American Institute of Physics.
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  • 19
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    Physics of Plasmas 2 (1995), S. 1899-1906 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: The complex roots of the hot plasma dispersion relation in the ion cyclotron range of frequencies have been surveyed. Consistent with current understanding, the cold plasma fast wave appears at low values of perpendicular wave number k⊥, followed by the well-known Bernstein wave at higher k⊥. At still higher k⊥ there can be two previously unappreciated hot plasma waves with relatively little sensitivity to frequency, in contrast to the Bernstein wave which is characterized by large changes in k⊥ for small changes in frequency or magnetic field. The latter waves exist only for relatively large k(parallel), the wave number parallel to the magnetic field. Both waves are strongly absorbed if the electron temperature is near the ion temperature, but not in a hot-ion, cold-electron, plasma. © 1995 American Institute of Physics.
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  • 20
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    Physics of Plasmas 2 (1995), S. 1941-1946 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A turbulent dynamo in a conducting fluid is accompanied by the generation of small-scale magnetic fields, which are much stronger than the mean dynamo-generated magnetic field. These small-scale fields modify the α effect in such a way as to stabilize the dynamo process, α=(α0+β0R⋅/B∇×R)/(1+R2), where α0, β0 are the standard kinematic dynamo parameters, and R is proportional to the mean magnetic field B0, R=B0/(4πρV2/Rm)1/2, ρ is the fluid density, V is the characteristic turbulent velocity, and Rm is the magnetic Reynolds number. The derivation of this formula is illustrated using a simple model—the turbulent dynamo for an asymmetrical top. © 1995 American Institute of Physics.
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  • 21
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    Physics of Plasmas 2 (1995), S. 1976-1981 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The problem of plasma flow relative to a modulated magnetic field has been the subject of several studies. One motivation for studying this problem is the possibility of using a deliberately imposed surface of magnetic islands as a means of velocity profile control. This subject is also of importance for the study of stability against ideal and resistive magnetohydrodynamic (MHD) modes and the topic of locked modes. A two-dimensional (2-D) MHD simulation code is used to examine the behavior of a plasma flowing, in steady state, past a modulated magnetic field in "slab geometry.'' It is shown that at "low'' velocities the stress is dominated by the Maxwell and the viscosity terms and that forces are exchanged between the plasma and the magnetic field in a narrow boundary surrounding the island. It is found that the island is suppressed when the viscous force at the separatrix exceeds the maximum force that can be supported by an island. For "high'' velocities (velocities beyond the critical velocity for island suppression), the stress is dominated by the Maxwell and the Reynolds terms, and the exchange of forces is taking place in a narrow region around the point where the plasma flow velocity matches the Alfvén speed. © 1995 American Institute of Physics.
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  • 22
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    Physics of Plasmas 2 (1995), S. 2007-2010 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In the presence of a pressure gradient, the phase velocity of drift wave or ion temperature gradient (ITG) mode turbulence is different from the average poloidal E×B rotation velocity of the guiding centers. This results in an E˜×B turbulent particle diffusion being suppressed by the phase shift due to the diamagnetic rotation velocity uθ=(c/enB)dP/dr. This shift cannot be eliminated by a change of frame and affects the plasma transport. For uθ well above the turbulent E˜×B velocity, the radial diffusivity is suppressed as D∝u−3θ. This results in a nonmonotonous particle flux Γ(∇n)(approximately-equal-to)−D0∇n[1+α(∇n)2]−3/2 such that the transport can develop a bifurcation at a realistic density gradient. © 1995 American Institute of Physics.
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  • 23
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    Physics of Plasmas 2 (1995), S. 1804-1806 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: The space and time behavior of backscattering instabilities is computed analytically in the strongly damped regime and in the presence of space–time random fluctuations. The fluctuations are described by a Gaussian process with exponentially decaying correlation function. The breakdown of the strongly damped model of the instability is obtained as a divergence of the average amplitude and intensity of the backscattered light [H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994)]. The length and time it takes for this divergence to occur is analytically computed. © 1995 American Institute of Physics.
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  • 24
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    Physics of Plasmas 2 (1995), S. 1846-1852 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A novel aspect of the Onsager symmetries in magnetized plasmas is pointed out. If temperature anisotropy exists, the symmetry takes place only for electrostatic waves; for electromagnetic waves, the Onsager reciprocal relations are violated. The entropy production rate is obtained for the quasilinear relaxation. It is pointed out that the entropy production is not the Lyapunov function for the process. The quasi-H-theorem for the quasilinear stabilization is discussed by using Renyi's entropy. © 1995 American Institute of Physics.
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  • 25
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    Physics of Plasmas 2 (1995), S. 1873-1885 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: Corrections to the classical Spitzer heat transfer rate between ions and electrons are calculated for the case when the ion temperature Ti is significantly higher than the electron temperature Te. It is found that slow electrons are partially depleted by their interactions with the ions, resulting in a decrease in the heat transfer in comparison with the Spitzer rate, which assumes perfectly Maxwellian electrons. The heat transfer steadily decreases from the classical value as Ti/Te increases; for Ti/Te values of several hundred, the heat transfer rate drops to around 60%–80% of the Spitzer result. A useful expression for the heat transfer correction factor in the case when all of the ion species are at the temperature Ti is found to be Pie/(Pie)Spitzer ≈[1+(me/mi)(Ti/Te)]3/2 exp{−[3.5∑i (Z2ini/ne)(me/mi) (Ti/Te)]2/3}. This expression is quite accurate for values of ∑i (Z2ini/ne)(mp/mi)(Ti/Te) less than about 50 (where mp is the proton mass), although it underestimates the heat transfer rate for larger values of Ti/Te, and one must resort to the more accurate but more complex analytical results derived in the paper. In the event that the ion distribution is non-Maxwellian, Ti in the correction factor should be replaced by 2〈Ei〉/3, where 〈Ei〉 is the mean ion energy. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1917-1925 
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    Topics: Physics
    Notes: Net transport due to a combination of Coulomb collisions and turbulence effects in a plasma is investigated using a fluid moment description that allows for kinetic and nonlinear effects via closure relations. The model considered allows for "ideal'' turbulent fluctuations that distort but preserve the topology of species-dependent canonical flux surfaces ψ#,s≡∫dF⋅B#,s, where B#,s≡∇×[A+(ms/qs)us], in which us is the flow velocity of the fluid species. Equations for the net transport relative to these surfaces due to "nonideal,'' dissipative processes are found for the total number of particles and total entropy enclosed by a moving canonical flux surface. The corresponding particle transport flux is calculated using a toroidal axisymmetry approximation for the ideal surfaces. The resulting net transport flux includes classical, neoclassical-like, and anomalous contributions and shows for the first time how these various contributions should be summed to obtain the total particle transport flux. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1982-1988 
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    Topics: Physics
    Notes: The equilibrium and stability of scrape-off layer plasmas are considered using a one-dimensional treatment of coupled heat conduction and pressure balance equations. It is found that, for sufficiently low-temperature and high neutral density, a region of greatly reduced power flux to the endplate can be achieved. The plasma in the vicinity of the end wall is characterized by a sharp plasma pressure gradient and a relatively low temperature, 1〈T0〈10 eV. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2011-2019 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: A plasma on open field lines that intersect endplates at a shallow angle, as in a tokamak with a toroidal limiter or poloidal divertor, is considered. A microscopic picture is developed, which shows the closure of the electron diamagnetic and electric drift currents approaching the wall by parallel (to B) electron current. A proper account of the radial variation of the ion "skin'' current in the ion gyrosheath is made. The resulting sheath current-voltage characteristics are derived. Two applications are considered: the toroidal potential variations induced by a wavy limiter or divertor surface, which can lead to significant plasma convection, and the determination of the boundary conditions appropriate for macroscopic instabilities in such a configuration. © 1995 American Institute of Physics.
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  • 29
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    Physics of Plasmas 2 (1995), S. 2044-2054 
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    Topics: Physics
    Notes: The temperature anisotropy generated by cyclotron resonance heating of tokamak plasmas is calculated and the poloidal equilibrium electric field due to the anisotropy is studied. For the calculation of anisotropic temperatures, a bounce-averaged Fokker–Planck equation with a bi-Maxwellian distribution function of heated particles is solved, assuming a moderate wave power and a constant quasilinear cyclotron resonance diffusion coefficient. The poloidal electrostatic potential variation is found to be proportional to the particle density and the degree of temperature anisotropy of warm species. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2075-2083 
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    Topics: Physics
    Notes: Backward stimulated Raman scattering (SRS) experiments have been performed using the optical fiber smoothing implemented on the high-power Phébus laser facility [Laser Part. Beams 4, 93 (1988)]. The interaction took place in low-Z plasmas presenting either exponential density profiles (solid targets) or Gaussian-type profiles. Raman instability was driven with 1.4 ns duration—0.53 μm laser pulses, containing an energy up to 1.8 kJ. Comparative and absolute measurements of SRS reflectivity are reported as a function of the incident laser intensity, both with and without beam smoothing. Near-backward time-resolved SRS spectra are also presented. Random phase plates are not used in these experiments. With or without smoothing, SRS reflectivities of the order of 10% have been measured. However, smoothing becomes effective in exponential profiles below 1015 W/cm2. Although the optical fiber efficiently reduces the contrast of the energy modulations in the focal spot, the spectral bandwidth may be insufficient to quench SRS development in these conditions. This last assumption is in agreement with theoretical predictions. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2117-2121 
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    Notes: Further analysis of recent experiments improves agreement between a one-dimensional kinematic turbulence model and observations. The model includes both analytic and phenomenological elements. Time behavior, magnitude of turbulent electric fields, and radiated microwaves accord with data. Scaling a three-dimensional radiation rate improves agreement. Introducing ionization from the oscillating turbulent electric field does not improve agreement, arguing that this effect does not appear in typical beam–plasma systems. The model is simple and easy to apply to existing experiments. © 1995 American Institute of Physics.
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  • 32
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    Physics of Plasmas 2 (1995), S. 2200-2206 
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    Notes: Measurements of the charge on individual dust grains of glass and copper have been made in a double plasma device with monoenergetic primary electrons and a tenuous plasma. In conditions where the current collected by grains is dominated by the primary electrons, the grains charge to the potential which repels the primary electrons. The charging potential is reduced from this value when the fast electrons are sufficiently energetic to release a comparable current of secondary electrons. In addition, confinement of charged dust has been investigated in evacuated electrostatic traps consisting of a center electrode at high potential within a grounded enclosure. The confinement time of particles orbiting the center conductor may be an hour or ∼105 orbits. The orbits are visible and the effects of perturbations have been videotaped. © 1995 American Institute of Physics.
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  • 33
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    Physics of Plasmas 2 (1995), S. 2224-2230 
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    Notes: Strong Langmuir turbulence driven by a relativistic electron beam has been investigated by the laser scattering technique. The special features of the experiments are as follows: (i) in the regime under study, Langmuir turbulence is well developed, and the temporal and spatial scales of the turbulent region far exceed those of a single caviton; (ii) the dispersion of the electron plasma waves is governed by the magnetic field, although ωpe(very-much-greater-than)ωBe; and (iii) the temperature of plasma electrons is much higher than that of ions, i.e., the damping of ion-acoustic waves is small. k-Spectra of electron plasma waves are measured in a broad spectral region by means of CO2-laser scattering. Criterion of modulational instability of observed spectra is estimated. The role of conversion and scattering of Langmuir waves by ion-acoustic waves in nonlinear energy transfer is discussed. © 1995 American Institute of Physics.
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  • 34
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    Notes: Detailed measurements and transport analysis of divertor conditions in Alcator C-Mod [Phys. Plasmas 1, 1511 (1994)] are presented for a range of line-averaged densities, 0.7〈n¯e〈2.2×1020 m−3. Three parallel heat transport regimes are evident in the scrape-off layer: sheath-limited conduction, high-recycling divertor, and detached divertor, which can coexist in the same discharge. Local cross-field pressure gradients are found to scale simply with a local electron temperature. This scaling is consistent with classical electron parallel conduction being balanced by anomalous cross-field transport (χ⊥∼0.2 m2 s−1) proportional to the local pressure gradient. A 60%–80% of divertor power is radiated in attached discharges, approaching 100% in detached discharges. Detachment occurs when the heat flux to the plate is low and the plasma pressure is high (Te∼5 eV). High neutral pressures in the divertor are nearly always present (1–20 mTorr), sufficient to remove parallel momentum via ion–neutral collisions. © 1995 American Institute of Physics.
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  • 35
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    Notes: Controlled application of radiating impurities in the boundary layer can help to solve the problem of power exhaust in a fusion reactor. Experiments in the Torus Experiment for Technological Oriented Research (TEXTOR) [J. Nucl. Mater. 145–147, 3 (1987)] are presented, which show that impurities with sufficiently high atomic number (≥10) are well suited for this purpose. Injection of neon, a gas recycled at the wall, enabled the establishment of a quasistationary radiating boundary layer, from which more than 90% of the input power was emitted. The required neon density was established by means of a feedback control for the neon influx, which was made possible by the toroidal pump limiter Advanced Limiter Technology (ALT-II) [J. Nucl. Mater. 162–164, 115 (1989)]. Alternatively, or in addition silicon was introduced as a condensing element—either by surface reactions from siliconized walls or by silane [SiH(D)4] injection—which revealed self-controlling mechanisms effective with changing plasma parameters. In neither case was a significant increase in central impurity concentration observed and good energy confinement time was maintained up to the highest plasma densities. Based on the information from various refined edge diagnostics, the underlying mechanisms for the buildup of a radiating plasma mantle and the interdependences of neon and silicon on other impurities are discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2314-2320 
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    Notes: The possibility of measuring the fusion α-particle features using the scattering from thermally excited eigenmodes has been analyzed in detail. A number of these modes are coupled predominantly to the fast-ion minority. However, the standard fluctuation theory predicts that the intensity of thermally excited waves is proportional to the "temperature'' of this fraction and is independent of its density. Such amounts of information are insufficient for the purpose of diagnostics. Different results are obtained if the effects of plasma inhomogeneity and nonlocal coupling of the observed (induced) electron density fluctuations with "bare'' fluctuations are taken into account. Then the fluctuation intensity becomes density dependent and both the "temperature'' and the relative density of the fast-ion minority can be found from spectral measurements of the scattering signal. The best opportunity is provided by thermally excited ion Bernstein waves in the lower hybrid frequency region. This case was analyzed using an effective numerical code which takes into account gyrokinetic effects and treats α particles as magnetized. The results show that the above two parameters can be measured with the employment of present-day laser technology. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2375-2380 
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    Notes: An economically superior development path to a tokamak reactor may be possible, if α-particle power can first be extracted by plasma waves and then channeled to heat fuel ions. In principle, both increased reactivity and current drive could be accomplished at once. The most complete channeling is likely to be realized only through the excitation of a variety of waves, since α-particles at different velocities or at different locations within the tokamak interact most effectively with different waves. The necessary characteristics for these waves have been identified, but no specific implementation is yet at hand. The mode converted ion Bernstein wave, however, has a certain number of the required wave features, and is likely to play a useful role in helping to realize the channeling effect. © 1995 American Institute of Physics.
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  • 38
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    Notes: Detailed analysis of recent high beta discharges in the DIII-D [Plasma Physics Controlled Nuclear Fusion Research, 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. I, p. 159] tokamak demonstrates that the resistive vacuum vessel can provide stabilization of low n magnetohydrodynamic (MHD) modes. The experimental beta values reaching up to βT=12.6% are more than 30% larger than the maximum stable beta calculated with no wall stabilization. Plasma rotation is essential for stabilization. When the plasma rotation slows sufficiently, unstable modes with the characteristics of the predicted "resistive wall'' mode are observed. Through slowing of the plasma rotation between the q=2 and q=3 surfaces with the application of a nonaxisymmetric field, it has been determined that the rotation at the outer rational surfaces is most important, and that the critical rotation frequency is of the order of Ω/2π=1 kHz. © 1995 American Institute of Physics.
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  • 39
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    Physics of Plasmas 2 (1995), S. 2249-2255 
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    Notes: As a result of dynamic control of the heat deposition and current profile, notably a large fusion product 4×1020 m−3 s keV (equivalent QDT=0.25) was sustained for 1.5 s in the high-confinement mode (H-mode) discharge accompanied with the edge localized modes (ELM), while the highest performance achieved transiently was 1.2×1021 m−3 s keV (equivalent QDT=0.46). A doubly formed transport barrier at the q=3 surface and near the edge is essential for the improvement in confinement. It has also been found that the active shear formation in the toroidal flow velocity, as well as the magnetic shear, can increase the critical edge pressure at the onset of ELMs, which constrain the maximum fusion performance. Further extension to the high-βN (=〈βt〉apBT/Ip) regime yielded the values of βN=2.9, βp=2.6 and the H-factor (=τE/τEITER-89P) of 2.5 for 0.7 s under the full current-drive condition. In these high-βN discharges, the bootstrap component was 74% of the total plasma current before the beam injection, while the neutral beam current drive (NBCD) fraction was 37%. It is stressed that effective current drive in the central region, which can sustain the peaked current profile against the bootstrap component, is indispensable for the efficient steady-state operation. Major results from the confinement physics studies, such as the characteristics of the primary barrier and the turbulence transport across the secondary barrier, are also addressed in this paper. © 1995 American Institute of Physics.
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  • 40
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    Physics of Plasmas 2 (1995), S. 2281-2285 
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    Topics: Physics
    Notes: The bulk fluid velocity is measured spectroscopically with 10 μs time resolution in the Madison Symmetric Torus (MST) reversed-field pinch (RFP) [Fusion Technol. 19, 131 (1991)], a diagnostic capability used to study the fast flow dynamics associated with locked modes and the RFP dynamo. The phase velocity of the tearing modes and the fluid velocity accelerate between sawtooth events, reaching a maximum speed of about 20 km/s in a few ms. Both slow down at the sawtooth crash in ≈100 μs. This deceleration time scale is as calculated for the tearing modes from the action of electromagnetic torque on the magnetic islands, but is much faster than expected from the viscous torque on the bulk fluid. In the RFP, correlated fluctuations in the tearing modes and fluid velocity probably also generate current via the "RFP dynamo,'' 〈u˜×B˜〉, where u is the bulk fluid velocity. Initial data indicate a possible increase in 〈u˜φB˜r〉 during sawtooth events, coincident with toroidal flux generation. © 1995 American Institute of Physics.
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  • 41
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    Notes: The confinement and heating of supershot plasmas are significantly enhanced with tritium beam injection relative to deuterium injection in the Tokamak Fusion Test Reactor [Plasma Phys. Controlled Fusion 26, 11 (1984)]. The global energy confinement and local thermal transport are analyzed for deuterium and tritium fueled plasmas to quantify their dependence on the average mass of the hydrogenic ions. Radial profiles of the deuterium and tritium densities are determined from the D–T fusion neutron emission profile. The inferred scalings with average isotopic mass are quite strong, with τE∝〈A〉0.85±0.20, τEthermal∝〈A〉0.89±0.20, χitot∝〈A〉−2.6±0.5, and De∝〈A〉−1.4±0.2 at fixed Pinj. For fixed local plasma parameters χitot∝〈A〉−1.8±0.4 is obtained. The quoted 2σ uncertainties include contributions from both diagnostic errors and shot irreproducibility, and are conservatively constructed to attribute the entire scatter in the regressed parameters to uncertainties in the exponent on plasma mass. © 1995 American Institute of Physics.
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  • 42
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    Notes: Reduction of the peak heat loads on the plasma facing components is essential for the success of the next generation of high fusion power tokamaks such as the International Thermonuclear Experimental Reactor (ITER) [Rebut et al., Plasma Physics and Controlled Nuclear Fusion Research (International Atomic Energy Agency, Vienna, in press)]. Many present concepts for accomplishing this involve the use of atomic processes to transfer the heat from the plasma to the main chamber and divertor chamber walls and much of the experimental and theoretical physics research in the fusion program is directed toward this issue. The results of these experiments and calculations depend upon a complex interplay of many processes. In order to identify the key features of these experiments and calculations and the relative role of the primary atomic processes, simple quasianalytic models and the latest atomic physics rate coefficients and cross sections have been used to assess the relative roles of central radiation losses through bremsstrahlung, impurity radiation losses from the plasma edge, charge exchange and hydrogen radiation losses from the scrape-off layer, and divertor plasma and impurity radiation losses from the divertor plasma. This analysis indicates that bremsstrahlung from the plasma center and impurity radiation from the plasma edge and divertor plasma can each play a significant role in reducing the power to the divertor plates, and identifies many of the factors which determine the relative role of each process. For instance, for radiation losses in the divertor to be large enough to radiate the power in the divertor for high power experiments, a neutral fraction of 10−3 to 10−2 and an impurity recycling rate of neτrecycle of ∼1016 s m−3 will be required in the divertor. © 1995 American Institute of Physics.
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  • 43
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    Physics of Plasmas 2 (1995), S. 2349-2356 
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    Topics: Physics
    Notes: Helical systems have the strong advantage of inherent steady-state operation for fusion reactors. Two large helical devices with fully superconducting coil systems are presently under design and construction. One is the LHD (Large Helical Device) [Fusion Technol. 17, 169 (1990)] with major radius=3.9 m and magnetic field=3–4 T, that is under construction during 1990–1997 at NIFS (National Institute for Fusion Science), Nagoya/Toki, Japan; it features continuous helical coils and a clean helical divertor focusing on edge configuration optimization. The other one in the W7-X (Wendelstein 7-X) [in Plasma Physics and Controlled Fusion Nuclear Research, 1990, (International Atomic Energy Agency, Vienna, 1991), Vol. 3, p. 525] with major radius=5.5 m and magnetic field=3 T, that is under review at IPP (Max-Planck Institute for Plasma Physics), Garching, Germany; it has adopted a modular coil system after elaborate optimization studies. These two programs are complementary in promoting world helical fusion research and in extending the understanding of toroidal plasmas through comparisons with large tokamaks. © 1995 American Institute of Physics.
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  • 44
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    Notes: A better understanding of helium transport in the plasma core and edge in enhanced confinement regimes is now emerging from recent experimental studies on DIII-D [Plasma Physics and Controlled Fusion Research (International Atomic Energy Agency, Vienna, 1986), p. 159]. Overall, the results are encouraging. Significant helium exhaust (τHe*/τE∼11) has been obtained in a diverted, H-mode plasma with edge-localized modes (ELM's) simultaneous with a central source of helium. There is no evidence of central peaking of the helium density profile even in the presence of this central source. Detailed analysis of the helium profile evolution indicates that the exhaust rate is limited by the exhaust efficiency of the pump (∼5%) and not by the intrinsic helium transport properties of the plasma. Perturbative helium transport studies using gas puffing have shown that DHe/χeff ∼1 in all confinement regimes studied to date (including H mode and VH mode). Furthermore, there is no evidence of preferential accumulation of helium in any of these regimes. © 1995 American Institute of Physics.
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  • 45
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    Physics of Plasmas 2 (1995), S. 516-526 
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    Notes: In this paper numerical solutions of Zakharov-type equations for lower-hybrid (LH) waves, including pumping at the long wavelengths and dissipation at short wavelengths in the form of dissipative cavitons are described. The caviton is a quasistationary structure undergoing many sequences of collapse due to dissipation, created by ion–wave interactions, which is compensated for by constant pump action. The possibility of trapping of short-wavelength LH oscillations by much broader density cavitons is investigated both analytically and numerically. Analytic self-similar solutions corresponding to collapse of such cavitons are constructed and demonstrate cascading to shorter wavelengths, which develops faster than the three-dimensional (3-D) quasiclassical cavity contraction. Numerical solutions show the development of deep caviton modulation due to the instability of quasiclassical collapse. Results of the numerical and analytical investigation are used to explain the recent observations of cavity formation in the auroral ionosphere, and show that the measured structures could indeed arise from quasiclassical LH collapse. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 557-564 
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    Topics: Physics
    Notes: Negative-mass (space-charge) instability in magnetized electron beams is considered for a flat, thin (having a thickness about the cyclotron diameter) beam of weakly relativistic electrons oscillators. Pitch angle and energy spreads of particles, as well as magnetic tapering are investigated on the base of averaged differential-integral equations of electron motion. For the energy spread, the phenomenon of "phase mixing'' of particles rotating with different frequencies limits the number of cyclotron harmonics taking part in the instability and significantly decreases the increments. For the magnetic tapering, this effect leads to linear saturation at the length comparable with the characteristic scale of the tapering. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 549-556 
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    Notes: An analysis of the stability of magnetically insulated ion diodes is presented that includes electromagnetic perturbations both parallel and perpendicular to the applied magnetic field, and is fully relativistic. The theory represents a generalization of previous work, which is either electrostatic or excludes wave motion parallel to the applied magnetic field. The analysis reveals a fast growing, low-phase velocity mode that is identified as a modified two-stream instability. This mode is similar to the low frequency mode observed in three-dimensional (3-D) particle simulations, and may be a major cause of ion divergence. It is shown that allowing diode electrons to respond to perturbations in the direction of the applied magnetic field introduces a new set of electron space-charge waves that cause ion modes to become unstable at low frequency and phase velocity. Furthermore, it is shown that these electron space-charge waves are significantly influenced by electromagnetic effects, which therefore cannot be ignored. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 493-500 
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    Notes: A simple model for the instability of a steady ablation front is presented. The model is based on the sharp boundary approximation, but it is considered that, as far as the Rayleigh–Taylor instability regards, the front thickness is of the order of the minimum scale length of the density gradient. The model yields a general analytical expression for the linear growth rate, which does not depend explicitly on the particular process of energy deposition, which drives the ablation. For the specific case of electronic thermal conduction the model is in good agreement with previously reported numerical calculations. The growth rate results to be well fitted by the so-called Takabe formula, and the coefficients in such a formula are analytically derived. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 565-567 
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    Notes: Coupled nonlinear evolution equations are derived for the transverse velocity in a helical wiggler with positive axial guide magnetic field at magnetoresonance. The nonlinear oscillator representation is adopted, without having to impose the usual restriction of the slow variation on the amplitude and the phase. Numerical calculations show that the evolution equations are quite appropriate to describe the envelope of the transverse velocity amplitude. The maximum transverse velocity and the maximum axial velocity spread can be estimated straightforwardly from the evolution equations. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 568-577 
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    Notes: The theory of multicavity gyrodevices has been developed for the case when two prebunching cavities may operate at different harmonics of cyclotron frequency. It is shown that when the first cavity operates at the fundamental and the second cavity at the second harmonic, the harmonic content in an electron beam current and the efficiency of operation in the third, output cavity are higher than these when two first cavities operate at the fundamental. The efficiency of operation of the output cavity at the first four cyclotron harmonics was studied with the account for electron velocity spread for both, single- and two-harmonic prebunching cases. The results obtained permit one to estimate the efficiency of operation of multicavity gyrodevices at cyclotron harmonics and its sensitivity to electron velocity spread. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4499-4512 
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    Notes: The purpose of this paper is to investigate the classical scalar-pressure magnetostatic equilibrium problem for nonsymmetric configurations in the framework of a Hamiltonian approach. Requiring that the equilibrium admits locally a family of nested toroidal magnetic surfaces, the Hamiltonian equations describing the magnetic flux lines in such a subdomain are obtained for a general canonical curvilinear coordinate system. The properties of such a coordinate system are investigated and a representation of the magnetic field is obtained. Its basic feature is that the magnetic field must fulfill suitable periodicity constraints to be imposed on arbitrary rational magnetic surfaces for general nonsymmetric toroidal equilibria, i.e., it is quasisymmetric. Implications for the existence of magnetostatic equilibria are pointed out. In particular, it is proven that a generalized equilibrium equation exists for such quasisymmetric equilibria, which extends the Grad–Shafranov equation to fully three-dimensional configurations. As an application, a representation is obtained for generalized helically symmetric equilibrium, extending the definition given by Nührenberg and Zille [Phys. Lett. A 129, 113 (1988)]. Since the new representation overcomes the inconsistency exhibited by the previous representation near the magnetic axis, pointed out by Garren and Boozer [Phys. Fluids B 3, 2805, 2822 (1991)], it appears potentially useful to interpret the numerical findings of quasihelical equilibria obtained so far. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4586-4588 
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    Notes: A fast bolometer was used for direct measurements of parallel electron energy flux in the edge of the Texas Experimental Tokamak (TEXT-U) [K. W. Gentle, Nucl. Technol. Fusion 1, 479 (1981)]. The fluctuating component of the parallel electron energy flux, combined with a measurement of magnetic fluctuations, provides an upper limit to the perpendicular electron flux. This magnetically driven energy flux cannot account for the observed energy flux. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4575-4585 
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    Notes: A theory for the existence of noninteracting small-scale, "drift'' magnetic islands in a high temperature tokamak plasma is presented. This situation contrasts with that discussed by Rebut and Hugon [Plasma Phys. Controlled Fusion 33, 1085 (1991)] which involves a background "sea'' of magnetic turbulence caused by island overlap. The islands are driven by the effect of finite ion Larmor radius on the particle drifts and they propagate with a velocity comparable to the diamagnetic velocity. In contrast with the work of Smolyakov [Plasma Phys. Controlled Fusion 35, 657 (1993)] collisions are assumed to be rare. Although the saturated island size is independent of the collision frequency in the model discussed here, collisions play a crucial role in determining the frequency of the magnetic islands. An estimate is made of the anomalous heat transport which results from the fluctuations in the electrostatic potential associated with these magnetic islands. The predicted thermal diffusivity has several, but not all, of the characteristics of the Rebut–Lallia–Watkins transport model. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4631-4634 
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    Notes: Starting from the nonlinear equations describing intense laser plasma interaction, without the supposition of tenuous plasma, weak relativity and a priori assumption φf(very-much-less-than)1+φs, slowly varying part and rapidly varying part of scalar potential φ, and ratio of third harmonic and pumping laser a3/a1 in plasmas pumped by intense laser (≥1018 W/cm2) are obtained. Plasma and laser parameters suitable to generation of harmonic are discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4656-4658 
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    Notes: For treating Alfvén waves driven unstable by α particles, an alternative to the Oak Ridge National Laboratory gyro-Landau fluid approach is suggested. Its primary advantage is that this method can simultaneously treat fluid nonlinearities and kinetic quasilinear effects. It is argued that more perturbative approaches could overestimate the kinetic quasilinear effects. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4665-4665 
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    Physics of Plasmas 2 (1995), S. 4476-4481 
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    Notes: An analytical solution of finite-amplitude solitary kinetic Alfvén waves (SKAWs) in a low-β (β(very-much-less-than)me/mi(very-much-less-than)1) plasma is presented. This solution has been compared with the solution of the Korteweg–de Vries (KdV) equation in the small-amplitude limit. It is found that the KdV soliton solution is valid only for the maximum relative density perturbation Nm〈0.1. For the larger Nm, the exact analytical solution shows that the SKAWs have a much wider structure and much stronger perturbed fields than the KdV solitons with the same Nm. Moreover, the relations between the width and the amplitude of SKAWs are also considerably different from that of the KdV solitons. In addition, the possibility for applying these results to some events observed from the Freja scientific satellite is discussed. (The Freja is a Swedish–German scientific project for the investigation of ionospheric and magnetospheric plasmas, and the Freja satellite was launched on a Long-March II rocket of China on October 6, 1992.) © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4521-4532 
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    Topics: Physics
    Notes: External kinks that drive magnetic islands inside a plasma can be stabilized by a resistive wall for even a slow plasma rotation. It is shown that only a subclass of ideal kinks avoid driving islands and stabilization by slow rotation. In addition, the separatrix of a tokamak divertor causes external kink instabilities to have resonant surfaces within the plasma and drive islands. Consequently, tokamaks with a hot divertor scrape-off layer may be more stable to resistive wall modes than tokamaks with limiters. It is shown that the calculation and description of the stability of wall modes is greatly simplified by the use of the inductance, resistance, and torque associated with a surface current. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4094-4103 
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    Topics: Physics
    Notes: Traveling- and standing-wave characteristics of the wave fields have been measured in a helicon discharge using a five-turn, balanced magnetic probe movable along the discharge axis z. Helical and plane-polarized antennas were used, and the magnitude and direction of the static magnetic field were varied, yielding three primary results. (1) As the density varies along z, the local wavelength agrees with the local dispersion relation. (2) Beats in the z variation of the wave intensity do not indicate standing waves, but instead are caused by the simultaneous excitation of two radial eigenmodes. Quantitative agreement with theory is obtained. (3) The damping rate of the helicon wave is consistent with theoretical predictions based on collisions alone. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4122-4126 
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    Topics: Physics
    Notes: The nonlinear wave structures of large amplitude ion-acoustic waves are studied in a plasma with an electron beam, by the pseudopotential method. The region of the existence of large amplitude ion-acoustic waves is examined, showing that the condition of the existence sensitively depends on the parameters such as the electron beam temperature, the ion temperature, the electrostatic potential, and the concentration of the electron beam density. It turns out that the region of the existence spreads as the beam temperature increases but the effect of the electron beam velocity is relatively small. New findings of large amplitude ion-acoustic waves in a plasma with an electron beam are predicted. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4149-4160 
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    Topics: Physics
    Notes: In Part I of this work [Phys. Plasmas 2, 1926 (1995)], the behavior of linearly stable, integrable systems of waves in a simple plasma model was described using a Hamiltonian formulation. Explosive instability arose from nonlinear coupling between positive and negative energy modes, with well-defined threshold amplitudes depending on the physical parameters. In this concluding paper, the nonintegrable case is treated numerically. The time evolution is modeled with an explicit symplectic integrator derived using Lie algebraic methods. For amplitudes large enough to support two-wave decay interactions, strongly chaotic motion destroys the separatrix bounding the stable region in phase space. Diffusive growth then leads to explosive instability, effectively reducing the threshold amplitude. For initial amplitudes too small to drive decay instability, slow growth via Arnold diffusion might still lead to instability; however, this was not observed in numerical experiments. The diffusion rate is probably underestimated in this simple model. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4161-4168 
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    Topics: Physics
    Notes: The effect of different nonlinearities (Ampère force and Hall effect) on the saturation of a magnetic field generated by flows of conducting fluid is studied by means of numerical simulations. A three-fluid (i.e., ions, electrons, and neutral particles) model is considered. The velocity field of the neutral particles is a prescribed, deterministic, incompressible three-dimensional field in the form of the Arnol'd–Beltrami–Childress (ABC) flow. The dynamics of the charged components of fluid is determined by two-fluid magnetohydrodynamics when ion–neutral particle collisions are taken into account. Four typical regimes of the nonlinear evolution of the magnetic field, corresponding to different types of nonlinearities (Ampère force or Hall effect) and different types of collisions (ion–ion collisions or ion–neutral particle collisions) are found. The transitions between these regimes, the structure of the saturated magnetic field, and the evolution of the magnetic field in these regimes are studied. Scaling estimates of the level of the saturated magnetic field and conditions obtained for the different regimes of the magnetic field evolution are in agreement with the results of the numerical simulations. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4169-4173 
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    Topics: Physics
    Notes: The localized heating of an underdense plasma by a focused laser beam has been studied with a kinetic Fokker–Planck code. Simulations show an inhibition of the electron heat flux in the region where temperature gradients are maximized. A time analysis of electron distribution function demonstrates that the heat flux inhibition does not interfere with the excitation of the return current ion acoustic instability. The conditions for onset of the instability and its possible effect on plasma transport are also discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4635-4640 
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    Topics: Physics
    Notes: A new configuration of a virtual cathode oscillator is proposed for high-power microwave generation. Analysis and simulation are carried out to investigate the characteristics of this configuration. In the numerical simulation, the microwave output power of ∼564 MW is obtained with an electron beam of 300 keV in electron energy and 15 kA in beam current, giving a beam-to-microwave efficiency of ∼12.5%. The significant features of the new configuration are (1) the microwave output power is not affected by an electron energy spread up to 6%; and (2) no significant change of the oscillation frequency is observed when the beam current changes from 10 to 20 kA. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4641-4649 
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    Topics: Physics
    Notes: The plasma separation process by ion cyclotron resonance heating (ICRH) is studied both theoretically and experimentally on two devices: the first one called ERIC (Ion Cyclotron Resonance Experiment) at Saclay (France) [P. Louvet, Proceedings of the 2nd Workshop on Separation Phenomena in Liquids and Gases, Versailles, France, 1989, edited by P. Louvet, P. Noe, and Soubbaramayer (Centre d'Etudes Nucléaires de Saclay and Cité Scientifique Parcs et Technopoles, Ile de France Sud, France, 1989), Vol. 1, p. 5] and the other one named SIRENA at the Kurchatov Institute, Moscow, Russia [A. I. Karchevskii et al., Plasma Phys. Rep. 19, 214 (1993)]. The radio frequency (RF) transversal magnetic field is measured by a magnetic probe both in plasma and vacuum and its Fourier spectrum versus the axial wave number kz is obtained. These results are in agreement with the electromagnetic (EM) field calculation model based on resolution of Maxwell equations by a time-harmonic scheme studied here. Various axial boundary conditions models used to compute the EM field are considered. The RF magnetic field is weakly influenced by the plasma while the electric field components are strongly disturbed due to space-charge effects. In the plasma the transversal electric field is enhanced and the kz spectrum is narrower than in vacuum. The calculation of the resonant isotope heating is made by the Runge–Kutta method. The influence of ion–ion collisions, inhomogeneity of the static magnetic field B0, and the RF transversal magnetic field component on the ion acceleration is examined. These results are successfully compared with experiments of a minor isotope 44Ca heating measurements, made with an energy analyzer. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4662-4664 
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    Topics: Physics
    Notes: It is shown that compressional magnetohydrodynamic (MHD) wave modes excited in the macroscopic vicinity of a magnetic field null in an otherwise strongly magnetized plasma damp at a rate consistent with a Q of order ln[LVA/η], where L is the characteristic length scale of the magnetic configuration, VA is the typical Alfvén speed, η is the relevant diffusion coefficient, such as the resistivity, and by Q we mean the ratio real frequency/damping rate. This result is shown to be valid for two-dimensional nulls, where the field is zero on some line, as well as for three-dimensional nulls, i.e., for cusp-like configurations. Thus field nulls are extremely efficient convertors of compressional MHD wave energy to thermal energy. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4049-4058 
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    Topics: Physics
    Notes: Relativistic electrostatic oscillations in a collisionless nonmagnetized plasma are considered. An integral form of the Vlasov–Poisson problem is solved numerically and both the transient and the asymptotic behavior of the electric field are calculated in a very accurate way. The existence of a critical value for the wave number, under which no Landau damping occurs, has been verified, and the asymptotic behavior of the oscillations in the one-dimensional kinetic model has been evaluated. Some errors have been found in previously published analytical expressions. A new expression is proposed and verified numerically. An analytical expression of the asymptotic behavior for full three-dimensional kinetic model is deduced and numerically tested. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4059-4074 
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    Notes: A uniform treatment of longitudinal waves or wave-like perturbations in neutral gases and plasmas is presented, using the method of kinetic transport theory in conjunction with a ten-moment collision model. The perturbations are considered to be generated by an oscillating boundary, and their spatial evolution for given frequency is investigated. Special emphasis is placed on the damping of the perturbations, as apparent from their spatial decay. The close intrinsic relation between longitudinal perturbations in plasmas and neutral gases is revealed by systematic variation of the collision to wave frequency ratio and of the charge number. The strong damping of neutral sound found in the small collision frequency limit is seen to be a continuous extension of Landau damping, either of ion-acoustic or Langmuir waves, when starting at the full charge number and reducing the latter to zero. Application of the present theory to experimental neutral sound data leads to almost quantitative agreement, from the near-collisionless to the collision-dominated limit. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4104-4117 
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    Notes: The nonlinear evolution of magnetic reconnection in collisionless and weakly collisional regimes is analyzed on the basis of a two-dimensional incompressible fluid model. The initial equilibria are unstable to tearing modes. In the limit where the stability parameter Δ′ is relatively large, the mode structure is characterized by global convective cells. It is found that the system exhibits a quasiexplosive time behavior in the early nonlinear stage, where the fluid displacement is larger than the inertial skin depth but smaller than the typical size of the convective cells. The reconnection time is an order of magnitude shorter than the Sweet–Parker time for values of the inertial skin depth, of the ion Larmor radius, and of the magnetic Reynolds number typical of the core of magnetic fusion experiments. The reconnection process is accompanied by the formation of a current density sublayer narrower than the skin depth. In the strict dissipationless limit, this sublayer shrinks indefinitely in time. Physical mechanisms limiting this tendency to a singular current density profile are also discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4127-4133 
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    Notes: Analytical criteria for supercritical and asymptotic stability and for subcritical and superexponential instability are obtained for slab-like, spherical, and cylindrical thermal structures. It is assumed that both, the thermal conductivity κ(T) and the gain/loss function Q(T), can be written as continuous functions of the temperature and they have continuous derivatives. Conditions on κ and Q under which the symmetry of the structure determines the kind of instability (or stability) are obtained. Additionally, it is found that the response of the structure not only depends on the amplitude of the disturbance, but also on whether the disturbance increases or decreases the initial steady temperature. In particular, the threshold value for the amplitude of the disturbances beyond which a linearly stable configuration destabilizes, and explicit conditions for catastrophic heating or cooling are obtained. Applications to structures constituted by atomic and molecular gas are outlined. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4140-4148 
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    Notes: Plasma turbulence and anomalous transport by the electrostatic current diffusive interchange mode are studied by the nonlinear simulation based on the magnetohydrodynamic model. The turbulence is found to have a typical characteristic of subcritical turbulence. The saturation level, as a function of the pressure gradient ∇p, is confirmed to scale like ||∇p||3/2. This nature holds independent of the ratio ||∇p||/||∇pc|| where ||∇pc||, is a critical pressure gradient against linear instability. The turbulence-driven transport is also evaluated. The simulation result confirms the theoretical prediction, which is based on the self-sustained turbulence, with respect to the nonlinear growth and damping. Both the normal cascade and inverse cascade are essential in establishing the stationary turbulent state. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4174-4176 
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    Notes: The generation of shear flow driven by a large amplitude drift wave, represented by the Hasegawa–Mima–Charney (HMC) equation, has been investigated. It is shown that, besides a finite amplitude threshold for the shear flow instability to occur, there is also a necessary condition on the aspect ratio of the large amplitude drift wave, due to conservation of the average potential vorticity, that needs to be satisfied. A comprehensive comparison of the shear-flow instability criterion for the HMC equation and the incompressible, invisicid, hydrodynamic equation has been undertaken. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3667-3675 
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    Notes: A general system of momentum balance equations that take into account neoclassical effects and the fluctuations of plasma quantities and electromagnetic field is established. This is used to study the influence of the properties of electrostatic fluctuations on the radial anomalous flows and ambipolar electric field. The case when the momentum drag is provided by collisions with neutrals is considered, which is relevant for the edge plasma. It is shown that a change of the spectrum accompanied by a transfer of 40% of the fluctuation energy from the big wavelength region to the small wavelength region of the spectrum can lead to a change of up to 20% in the magnitude of the electric field. As a result the plasma rotation will change. The possibility to induce plasma spin-up through the ambipolar electric field produced by monochromatic waves delivered from an external source is also considered. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 4195-4203 
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    Notes: Interactions of Langmuir solitons with plasma are simulated using a one-dimensional electrostatic Vlasov code, including both electrons and ions. The Zakharov's solutions are used as initial conditions. The wave is found to transfer energy into electrons during the heating process due to the interaction of resonant electrons with high-frequency electric fields. For Te(very-much-greater-than)Ti, the temporal evolution of the electron distribution function shows different heating behaviors depending on whether the electrons are interacting with a single soliton or many solitons. In single-soliton interactions, the final electron distribution function approaches an exponential form, f(v)∝exp(−6v/vte). However, for multisoliton interactions, the final stage of the heated electrons establishes a power-law distribution function, f(v)∝v−4, which agrees with that of Gorev and Kingsep [Sov. Phys. JETP 39, 1008 (1974)]. Simulation results for soliton motion show strong ion Landau damping, such that the solitons dissipated quickly when Ti=Te. Analyses indicate that nonlinear damping of Langmuir solitons by thermal ions for vg≤vti plays the most important role in slowing down the moving solitons. A double-hump structure was also found in the near-sonic soliton motion. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2590-2596 
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    Notes: Three sets of Z-pinch experiments were performed in recent years [Phys. Rev. E 50, 2166 (1994)] that confirmed the existence of a theoretically predicted region in (load mass)-(implosion velocity) space where efficient conversion of implosion energy to kilovolt x rays was possible [J. Appl. Phys. 67, 1725 (1990)]; but they also raised questions about the validity of the theoretical models [Phys. Plasmas 1, 321 (1994)] and about the influence of the pulse-power generator and load design on the detailed behavior of the measured x-ray yields. Newly completed experiments suggest that some of these influences can be overcome and that K-shell yields can be increased in greater accord with theoretical expectations. In this paper, a brief description of these experiments is given, and some comparisons with recent theoretical findings are made along with comparisons with the above-mentioned earlier work. These new comparisons demonstrate the need for further improvements in the theoretical models and in the way experiments are designed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2597-2604 
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    Notes: A two-dimensional, computationally efficient numerical model is developed to study power deposition in high-density inductively coupled plasma sources. Calculations include both inductive coupling, caused by plasma response to external coil currents, and capacitive coupling, caused by plasma response to external voltages on the coils and wafer. Variation in current along the induction coil is determined self-consistently from the integral constraint of charge conservation. Sheath phenomena are incorporated through previously published analytic models. The system behavior is analogous in some respects to that of a transmission line. Comparison with measurement suggests that this model provides a good description of self-consistent coil response when the electric field exhibits less than a quarter wavelength per coil turn. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 2605-2609 
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    Notes: Research scientists are engaged in a variety of programs to assist schools in teaching scientific principles by involving students and teachers in investigative processes. Scientists who want to assist in science education should understand the major reform efforts underway in the educational community. Current pedagogical practice has moved away from declarative science and into hands-on participation by students, in which they learn about science as a process. Scientists can help teachers ensure not only that curricular elements are technically accurate and current, but also that the elements represent the process of authentic science. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1367-1371 
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    Notes: The dispersion relations for the classical electromagnetic modes in a uniform, magnetized, monoenergetic plasma, are reconstructed from a fluid approach. Under study are the Alfvén waves (parallel propagation) and the magnetosonic waves (perpendicular propagation). This fluid theory accounts for finite Larmor radius effects to all order, and is shown to yield identical results from the Vlasov formulation. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1364-1366 
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    Notes: A large angle, multichannel ultraviolet Thomson scattering diagnostic was developed to study ion-acoustic waves in laser-produced high-density plasma. The time evolution of the spectral density function of the ion-acoustic wave (IAW) was measured by the scattering system. When a weak IAW was excited, the measured spectrum had a well-defined narrow peak, which was consistent with plasma parameters predicted by computer simulations assuming an electron transport flux limit of 0.1. The spectrum of the IAW was quite different, and broad, when it was excited strongly. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1361-1363 
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    Notes: Astrophysical jets are composed of plasmas in which there are relativistic electrons and other cosmic ray particles generated by in situ reacceleration. The equilibrium analysis of a non-neutral beam–plasma system shows that the fluid components rotate around the cylindrical axis. When the relativistic electrons propagate through the background plasma of astrophysical jets, it is found that even very small non-neutrality will cause a differential rotation velocity large enough to amplify magnetic fields to a few microgausses on kiloparsec scales by the kinematic screw dynamo mechanism. The amplified magnetic field concentrates within a thin cylindrical shell, so it is beneficial for the confinement and collimation of jets. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1372-1377 
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    Notes: The trajectories of a nonrelativistic single charged particle in a nonadiabatic cusped magnetic field configuration are numerically analyzed. Depth of penetration of the particle into the cusped field, multiple reflections and radial excursion of the particle transmitted by the cusped field are discussed. A significant observation was that a meticulous choice of particle and field parameters could lead to several number of reflections. For radial excursion a plateau region over Φ was exhibited. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1393-1397 
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    Notes: It is shown that the autoresonance effect is characteristic of wave interactions in slowly varying weakly nonlinear multidimensional media. The theory of the phenomenon is presented for the mode conversion case and illustrated in two dimensions. It is demonstrated that multidimensional autoresonance is stable with respect to weak damping and transverse nonuniformity of the incident wave. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1378-1392 
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    Notes: Streaming instabilities of a reflexing beam in a slab model of a beam Penning trap or an inertial electrostatic confinement device are studied. Particles may have turning points that may be between the walls. Linear theory is developed for the case in which the self-field cancels the external potential. If the electric field perturbation is odd about the center, these two-stream modes couple the slow waves on the two beams. Even modes consist of two classes: a class of two-stream modes and another class of complex-frequency modes, coupling the slow and fast waves on the same beam. The latter are unstable over a larger range than the two-stream modes. Thermal spread is stabilizing only when the thermal and streaming velocities are comparable. Numerical results for the general class of equilibria show both two-stream-like modes and oscillating modes. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 1404-1411 
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    Notes: Resonances near the cyclotron frequency of a cylindrical non-neutral plasma column with radial density and angular velocity profiles are studied. Cold plasma and warm plasma models are used to consider the various multipole modes (eimθ) for kz=0. For m=1 only a single resonance, a center of mass mode, is found. Its frequency is downshifted from the cyclotron frequency by an amount equal to the frequency of the low-frequency diocotron mode. For each m greater than 1 the cold plasma model gives a continuous absorption band with spatially localized absorption at each frequency, corresponding to a continuum of singular modes. In the warm plasma model, the continuuo go over to sets of discrete radially trapped azimuthally propagating Bernstein modes. For both cases, the plasma rotation Doppler-shifts the azimuthally propagating modes up in frequency. The angular velocity profile, together with plasma temperature, determine the spacing of the Bernstein modes within a band. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3595-3604 
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    Topics: Physics
    Notes: The technique of iteration of canonical transformations for a Hamiltonian system is applied to study the motion of a single particle of small Larmor radius in static, nonaxisymmetric electric and magnetic fields. For use in applications in kinetic theory, it is asked when is μ(r,v), where μ is the magnetic moment adiabatic invariant, single valued in r, with v held fixed? Even when μ(r,v) is a good adiabatic invariant, it may fail this additional condition, so that f[1/2v2+Φ(r), μ(r,v)] is not an acceptable particle distribution function, where Φ(r) is a single-valued electrostatic potential. It is shown that in a toroidal domain the condition is satisfied only for axisymmetric fields, or for magnetic fields near a zero shear field with nested flux surfaces that fill a toroidal domain. The appropriate transformations to guiding center coordinates and Hamiltonians are given for these cases. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3614-3622 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new non-perturbative and non-variational solution method is proposed for the gyrokinetic equation, based on a suitable approximation for the linearized Fokker-Planck collision operator. The approach, which allows, in principle, the accurate evaluation of arbitrary moments of the distribution function for a weakly collisional magnetoplasma with toroidal equilibria of arbitrary aspect-ratio, is susceptible of numerous significant applications, both for transport calculations, i.e., in particular, leading to the evaluation of neoclassical fluxes, as well for the investigation of linear stability analyses of dissipative perturbations. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3623-3639 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Numerical solutions of decaying two-dimensional incompressible magnetohydrodynamic turbulence reach a long-lived self-similar state which is described in terms of a turbulent enstrophy cascade. The ratio of kinetic to magnetic enstrophy remains approximately constant, while the ratio of energies decreases steadily. Although the enstrophy is not an inviscid invariant, the rates of enstrophy production, dissipation, and conversion from magnetic to kinetic enstrophy are very evenly balanced, resulting in smooth power law decay. Energy spectra have a k−3/2 dependence at early times, but steepen to k−5/2. Local alignment of the intermediate and small-scale fields grows, but global correlation coefficients do not. The spatial kurtosis of current grows and is always greater than the vorticity kurtosis. Axisymmetric monopole patterns in the current (magnetic vortices) are dominant structures; they typically have a weaker concentric, nonmonotonic vorticity component. Fast reconnection or coalescence events occur on advective and Alfvén time scales between close vortices of like sign. Current sheets created during these coalescence events are local sites of enstrophy production, conversion, and dissipation. The number of vortices decreases until the fluid reaches a magnetic dipole as its nonlinear evolutionary end-state. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3685-3695 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple dynamic model of spatiotemporally propagating transport barriers and transition fronts from low (L) to high (H) confinement regimes is presented. The model introduces spatial coupling (via transport) into the coupled evolution equations for flow shear and fluctuation intensity, thus coupling the supercritical L to H bifurcation instability to turbulent transport. Hence, fast spatiotemporal front propagation and evolutionary behavior result. The theory yields expressions for the propagation velocity and termination point of an L–H transition front and transport barrier. When the evolution of the pressure gradient, ∇Pi, and the contribution of ∇Pi to sheared electric field, Er′, is included, the ambient pretransition pressure gradient acts as a local source term that drives the evolution of the poloidal velocity shear. The transition may then evolve either as a spatiotemporally propagating front or as a uniform (i.e., nonlocal) fluctuation reduction or quench. The precise route to transition adopted depends on the relative magnitudes of the front transit time, τT, and the fluctuation reduction time, τf, respectively. The relevance of spatiotemporally propagating L–H transition fronts to the very high confinement regime (VH mode) evolution in DIII-D [R. I. Pinsker and the DIII-D Team, Plasma Physics and Controlled Nuclear Fusion Research 1992 (International Atomic Energy Agency, Vienna, 1993), Vol. 1, p. 683] and in the Joint European Torus (JET) [Plasma Physics and Controlled Nuclear Fusion Research 1990 (International Atomic Energy Agency, Vienna, 1991), Vol. 1, p. 27] is discussed. © 1995 American Institute of Physics.
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  • 89
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    Physics of Plasmas 2 (1995), S. 3724-3733 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The direction and magnitude of power and momentum exchange between fast ions and electrostatic waves in slab and toroidal systems are obtained from global Monte Carlo simulations that include the quasilinear wave-induced ion diffusion both in velocity space and through a radially localized (lower hybrid) wave structure with propagation in one preferential poloidal direction in tokamaks. The model considers a full linearized collision model, finite fast ion orbits, and losses in toroidal geometry, and can properly treat the boundary effects on the particle–wave interaction in the configuration space. For an isotropic steady ion source, reduction of wave Landau damping but no wave amplification by wave localization is found for a Gaussian wave intensity distribution in radius, irrespective of the steepness of the radial gradient of the fast ion source rate. Enhanced wave-driven fast ion current, with magnitude, direction, and profile determined by the boundary conditions, net power transfer, and fast ion radial transport, is found to follow from the asymmetry in the parallel wave number spectrum created by the finite poloidal magnetic field. In the presence of intense well-penetrated waves the current carried by fusion α particles can be controlled by the choice of the poloidal wave number spectrum and the total current can greatly exceed the neoclassical bootstrap current of the α particles in a reactor. © 1995 American Institute of Physics.
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  • 90
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    Physics of Plasmas 2 (1995), S. 3757-3763 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A kinetic analysis of ion temperature gradient modes with the trapped ion bounce resonance in tokamaks is presented under the long-wavelength limit. The dispersion relations of the toroidal and slab branches are derived by employing two-scale expansion, and their eigenfunctions are obtained analytically. The growth rates and stability thresholds of the more unstable toroidal and slab ion modes are evaluated in the cases with and without trapped electron dynamics. It is found that the minority trapped ion bounce resonances possess approximately the same effects on the toroidal and slab ion modes as the majority ion transit resonances. The nonadiabatic trapped electron dynamics does also strongly affect the toroidal ion mode while it affects the slab branch, the trapped electrons have a destabilizing effect on these ion modes. In addition, the effects of trapped electron temperature gradient on the trapped ion temperature gradient modes are considered. For high collisionality, the trapped electron temperature gradient destabilizes toroidal and slab ion modes. On the contrary, it plays a role of stabilizing to the toroidal and slab ion modes in the case of very low collisionality. © 1995 American Institute of Physics.
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  • 91
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    Physics of Plasmas 2 (1995), S. 3769-3776 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In order to reduce the heat flux entering the divertor, it is desirable to have strong impurity radiation in the scrape-off layer (SOL) of reactor-size tokamaks like the International Thermonuclear Experimental Reactor [International Thermonuclear Experimental Reactor (ITER) Conceptual Design Activity Final Report, ITER Documentation Series No. 16 (International Atomic Energy Agency, Vienna, 1991)]. Under such circumstances, however, the SOL plasma is likely to be unstable to the radiative condensation instability. In the present paper, an investigation is undertaken to study the effects of edge-localized mode (ELM) activity on this instability. In the linear regime, it is demonstrated that high-frequency ("grassy'') ELM's may parametrically excite acoustic waves. The possibility of nonlinear radiative collapse with concomitant stratification of the plasma is discussed, and solutions describing nonlinear traveling waves are derived in which the plasma goes over from equilibrium state to another. © 1995 American Institute of Physics.
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  • 92
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    Physics of Plasmas 2 (1995), S. 3832-3843 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Parametric excitation of electron Bernstein modes in magnetized laser-produced plasma is studied. A dispersion relation is derived for the pump and scattered light wave vectors collinear and perpendicular to a uniform magnetic field in a uniform plasma and numerical solutions are obtained for the growth rate in collisionless plasma. These are then compared to an improved analytic approximation for the growth rate, and excellent agreement is obtained. Magnetic fields considered range from 10 to 1000 kG. Threshold pump intensities are estimated by including collisions or density inhomogeneity of the plasma. Ion-sound wave excitation (stimulated Brillouin scattering) is also seen and compared with the Bernstein mode results. In some regimes, the two thresholds are quite comparable. The numerical code also yields a nearly purely growing mode near the critical density. Numerical results are in good agreement with an analytic approximation, for this close cousin of the oscillating two stream instability. © 1995 American Institute of Physics.
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  • 93
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    Physics of Plasmas 2 (1995), S. 3857-3864 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linearized incompressible magnetohydrodynamic equations that include a generalized Ohm's law are solved for tearing eigenmodes of a plasma sheet with a normal magnetic field (Bn). In contrast to the Harris sheet with the equilibrium magnetic field [B=B0 tanh(z/a)xˆ], the two-dimensional plasma sheet with the field [B=B0 tanh(z/a)xˆ+Bnzˆ], in which the Bn field lies in the plane of the Bx field, has no neutral line if Bn≠0. Such a geometry is intrinsically resilient to tearing because it cannot change topology by means of linear perturbations. This qualitative geometrical idea is supported by calculations of growth rates using a generalized Ohm's law that includes collisional resistivity and finite electron inertia as the mechanisms for breaking field lines. The presence of Bn reduces the resistive tearing mode growth rate by several orders of magnitude (assuming Bn/B0∼0.1) compared with that in the Harris sheet model (Bn=0). The growth rate scaling with Lundquist number (S) has the typical S−3/5 (S−1/3) dependence for large (small) wave numbers and very small values of Bn. For larger values of Bn, all modes behave diffusively, scaling as S−1. The collisionless electron tearing mode growth rate is found to be proportional to δ2e in the presence of significant Bn((approximately-greater-than)10−2B0) and large kx(∼0.1a−1–0.5a−1), and becomes completely stable (γ〈0) for Bn/B0≥0.2. Implications for magnetospheric substorms are discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3880-3892 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The wave propagation number for the growing wave of a free-electron laser in the exponential growth regime is a complicated function of electron beam current and voltage. As a result if the electron beam voltage drifts the imaginary part of the propagation number in general will change too, leading to a change in the radio-frequency phase of the output power. For typical gains, the two largest contributions to the shift in the imaginary component of the propagation constant are due to the change in the beam's reduced plasma wave number and the change in the detuning from resonance. This paper demonstrates that these changes can be made to cancel each other with the correct selection of plasma reduction factor and initial detuning from resonance if the interaction strength is weakly dependent on beam velocity, leading to a device that is first-order phase and gain stable under voltage fluctuations. The analysis is performed for the axial free-electron laser interaction and the results also apply for transverse-coupling free-electron lasers. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3893-3901 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: Plasma opening switch (POS) experiments performed on the Hawk generator [Commisso et al., Phys. Fluids B 4, 2368 (1992)] (750 kA, 1.2 μs) determine the dependence of the conduction current and conduction time on plasma density, electrode dimensions, and current rise rate. The experiments indicate that for a range of parameters, conduction is controlled by magnetohydrodynamic (MHD) distortion of the plasma, resulting in a low density region where opening can occur, possibly by erosion. The MHD distortion corresponds to an axial translation of the plasma center-of-mass by half the initial plasma length, leading to a simple scaling relation between the conduction current and time, and the injected plasma density and POS electrode dimensions that is applicable to a large number of POS experiments. For smaller currents and conduction times, the Hawk data suggest a non-MHD conduction limit that may correspond to electromagnetohydrodynamic (EMH) field penetration through the POS plasma. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 3925-3925 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The authors contend that incorrect inferences are drawn by Ding Li regarding the sources of error and of the basis function method used in the calculations of toroidally coupled tearing modes. (AIP)
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    Physics of Plasmas 2 (1995), S. 14-22 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Important intrinsic plasma instabilities manifest themselves in the form of periodic bursts of fluctuations rather than as a state of stationary fluctuations, which a conventional application of quasilinear theory would lead to expect. A set of coupled nonlinear equations for the time evolution of the fluctuation amplitude and of the driving factor of the relevant instability is shown to have the features necessary to reproduce the variety of bursts that are observed experimentally. These are the periodicity, the duration, and the shape of the bursts, special consideration being given to the excitation of modes by high-energy particle populations in thermalized plasmas and to a model for the transition from a bursting state to one of stationary fluctuations. A model is introduced that is relevant to the case where the spatial dependence of the mode amplitude is important. The application of the given analysis to the bursty wave emissions observed in space is discussed. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 182-190 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Electron cyclotron wave absorption and emission by mildly relativistic electrons is investigated. The linear theory is developed for a small fraction of fast electrons in order to determine the dynamics of such particles by using transmission measurements in tokamaks. Simple expressions for the dielectric tensor in the presence of a superthermal electron parallel-momentum distribution are obtained by taking the perpendicular energy of this population into account. It is shown that electron cyclotron wave absorption is weakly modified by the shape of the perpendicular-momentum distribution. On the other hand, wave attenuation at the fundamental resonance is significantly affected by the average perpendicular energy for low values of the parallel wave refractive index. A new diagnostic method is proposed to measure the perpendicular electron temperature and the parallel-momentum distribution simultaneously, by using the ordinary and extraordinary modes of polarization. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 218-226 
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    Topics: Physics
    Notes: Earlier two-dimensional (radial and poloidal angle), analytically tractable ion kinetic models of the scrape-off layer (SOL) in which a steady state is achieved by balancing the streaming loss of ions to the divertor target plates with the radial diffusion of ions from the core are unable to distinguish between limited and diverted plasmas. The model presented here removes this limitation while still remaining amenable to a similar Wiener–Hopf solution procedure. To phenomenologically model ion recycling, the boundary conditions employed at the divertor plates allow for partial reflection. The diffusion into the private flux region and the extended divertor channels (all of normalized length d along the magnetic field), as well as the rest of the SOL, is evaluated. The SOL is shown to be asymmetric about the separatrix because ions from the core must stream by the X point be- fore diffusing into the private flux region. The channel or leg SOL width is of order [LD(1+2d)/vi ||ln γ||]1/2, where D, L, vi, and γ are the diffusion coefficient, connection length, ion thermal speed, and reflection coefficient, respectively. The SOL in the private flux region is narrower (by [2d/(1+2d)]1/2) with a lower density (by [2d/(1+2d)]3/4) and a stronger poloidal dependence than the region beyond the separatrix. To equalize the heat load between the private flux region and the leg portions of the target, the legs must be longer than the connection length. © 1995 American Institute of Physics.
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    Physics of Plasmas 2 (1995), S. 256-273 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theoretical and numerical calculations are performed using the system of Zakharov and electromagnetic wave equations, to describe the nonlinear behavior of stimulated Raman scattering (SRS) in a finite homogeneous plasma slab. The enhancement of secondary scattering processes due to the nonlinear SRS saturation is investigated. The parametric decay of the resonantly driven Langmuir wave provides a mechanism which saturates SRS and greatly broadens the Langmuir and ion acoustic wave spectra. These enhanced electrostatic fluctuations scatter the incident electromagnetic radiation. Scaling laws for enhanced Brillouin, forward Raman, and anti-Stokes forward and backward Raman scattering as well as criteria for their strong enhancement are given. The frequency spectra of enhanced Brillouin scattering shows red- and blue-shifted components, with different amplitudes depending on the plasma density and laser intensity. The numerical results have been compared with experimental data providing new or alternative explanations for the observations. © 1995 American Institute of Physics.
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