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  • Springer  (617,314)
  • American Institute of Physics (AIP)  (46,193)
  • American Association for the Advancement of Science (AAAS)  (17,350)
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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2441-2447 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The formation of visible layered structures that develop at the anodic zone of a constricted glow discharge is reported. They are composed of several tridimensional double layers with axial symmetry enclosing different plasma coronas. The dependence of the number and size of plasma shells with the conditions of the discharge is discussed, as well as the nature of these double layers. The experimental results evidence the effect of the distribution of neutrals in the volume of the discharge for the development of double layers.
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2480-2487 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The evolution of the return current induced by a charged particle beam in a magnetized plasma is studied. The beam current is perpendicular to the background magnetic field. The return current is shown to depart from the beam along the background magnetic field with a whistler rather than a diffusion or an Alfvén velocity. In a plasma bounded by two conductors the return current oscillates with the whistler period. Analytical expressions for the evolution of the magnetic field and of the plasma return current are derived for a beam with a finite width and with various rise time dependences. When the whistler time is shorter than the rise time of the beam current, the plasma return current does not grow beyond the whistler time.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2525-2530 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The time evolution of a nonideal magnetohydrodynamic (MHD) plasma is investigated. An approach for the reduction of the nonlinear vector MHD equations for a current carrying plasma with a strong longitudinal external magnetic field to a set of scalar partial differential equations is supposed. Analytical time-dependent solutions of the nonlinear resistive and dissipative MHD equations for a cylindrical plasma column are presented. It is shown that the internal magnetic field and the velocity have different damping times and that in the asymptotic limit t→∞ the plasma slowly relaxes toward the static equilibrium state. Analytical reduced MHD solutions describing slowly evolving states in tokamaks are found.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2566-2573 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The kinetic equation for a plasma in a stochastic electromagnetic helical field is constructed and studied. The kinetic equation contains an additional term, proportional to the helicity. The evolution of the main moments of the distribution function is considered. A solution describing the evolution of the distribution function for arbitrary initial conditions is found and possible consequences of presence of the helicity term are discussed. A model example is considered when a single-momentum electron beam with an inhomogeneous velocity profile creates a new particle flow in the transverse direction, so that the resulting flow also possesses the helicity.
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  • 5
    Electronic Resource
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2603-2613 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linearized discretization approach is proposed for the numerical investigation of the gyrokinetic equation describing the dynamics of a strongly rotating plasma in a toroidally axisymmetric configuration. The discretization scheme allows the numerical evaluation of the neoclassical transport matrix in terms of a suitably discretized distribution function. A basic feature of the discretization scheme here developed is that it permits the introduction of Monte Carlo collision operators to advance in time the gyrokinetic state of a suitable set of test particles. Such operators, which apply to general non-normal gyrokinetic coordinates, are constructed in such a way as to conserve exactly the collisional invariants. A fundamental consequence is that the neoclassical transport coefficients determined in this way fulfill exactly both Onsager's symmetry relations and the condition of strict ambipolarity for the particle-flux transport coefficients. Such properties are proven to be satisfied independently of the number of test particles used in the discretization scheme.
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  • 6
    Electronic Resource
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2890-2900 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Experimental evidence suggests that unabsorbed wave energy in ion cyclotron range of frequency fast wave (FW) experiments can result in deleterious edge interactions. A model describing the formation of far field sheaths due to FW interaction with material surfaces is presented. Near conductors that do not conform to flux surfaces, an incoming FW causes the generation of a slow wave (SW) component. The E(parallel) of the SW drives an RF sheath, in a manner similar to what has been previously discussed for antenna (near field) sheaths. To assess the importance of the proposed mechanism, a heuristic scaling model of the resultant sheath voltage V is developed and compared with a numerical code. The model illustrates the important dependencies of V on the single pass absorption, edge density, FW frequency, FW cutoff location, and limiter/wall geometries and yields qualitative agreement with the experimental observations.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3003-3007 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Generalized fluid models have become increasingly popular for incorporating kinetic effects in hydrodynamic studies of laser–plasma interactions. However, their transport coefficients depend on the source of the thermal perturbation, which leads to difficulties, since both inverse-bremsstrahlung heating and pdV work drive these perturbations. Treating these sources separately using a model with two energy equations is proposed. Tested against electron Fokker–Planck simulations, this model reproduces both Landau damping of ion-sound waves and the correct response to inverse bremsstrahlung.
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3053-3058 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The ideal initial value problem for the neutral sheet is considered, with the emphasis on fieldwise-independent, infinitesimal velocity disturbances. It is shown analytically that cross-field velocity perturbations persist, and that they also set up fieldwise magnetic disturbances that grow algebraically in time. When these disturbances attain finite amplitude they should distort the neutral sheet configuration, and hence they could provide an alternative route by which magnetic reconnection can become turbulent. Some supporting numerical simulations, performed at large Lundquist numbers, are then described. In an Appendix the analysis is extended to include fieldwise-dependent disturbances.
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  • 9
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3093-3099 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A generalized linear theory that allows for mismatched boundary conditions was used in determining the starting oscillation conditions for gyrotron backward wave oscillators (gyro-BWO). The results reveal that the gyro-BWO interaction is normally caused by the interference between a constant-amplitude backward wave and a decaying backward wave. The latter becomes a forward-growing wave if the operating frequency is close to the waveguide cutoff frequency. The starting oscillation length for a reflection-type gyro-BWO is shorter than that of a matched-type gyro-BWO. The mismatch has more of an effect upon the onset of a gyro-BWO, which is operated close to the cutoff frequency.
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  • 10
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3135-3137 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability of magnetic island producing perturbations due to fluctuations in the bootstrap current in stellarator configuration is examined. The stability criterion depends on the sign of the derivative of the rotational transform, the pressure gradient, and the direction of the equilibrium bootstrap current, which is determined by the structure of ||B||. It is found that quasihelically symmetric stellarator configurations with p'/ι'〈0 are unstable to the formation of bootstrap current-driven magnetic islands. The stability of conventional stellarator configurations depends upon the field structure.
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  • 11
    Electronic Resource
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2762-2767 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The propagation of electromagnetic and Langmuir waves in multicomponent unmagnetized plasmas with dust particles is investigated. The effect of capture of plasma electrons and ions by the dust particles is taken into account. The recent theory proposed by Tsytovich and Havnes [Comments Plasma Phys. Controlled Fusion 15, 267 (1993)] to describe the kinetics of the capture process, as well as its perturbations, is further developed. The new wave damping due to this effect is calculated.
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  • 12
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2798-2800 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: One-dimensional analysis of momentum transport equations of electrons, plasma ions, and one impurity charge state shows that both the nonambipolar current and the thermal forces can influence the coupling of impurity and plasma ions. The solution indicates that, in general, a steady-state drift can exist between the impurity and plasma ions. In cases where thermal forces are negligible, the impurity ions are strongly coupled to the plasma ions only if the transport is ambipolar. In this case the plasma ions and the impurities move as a single fluid. However, if nonambipolar currents are present, a steady-state drift is possible between the plasma ions and the impurity ions even if thermal forces are neglected. In this case, the imbalance due to the electron frictional force (∼Z2) acting on the impurity charge state and the plasma ions is balanced by the impurity and plasma ion friction.
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  • 13
    Electronic Resource
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2741-2747 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A possible mechanism is suggested for direct ion heating in reversed-field pinches (RFP). The ion temperature gradient mode induces collisionless ion perpendicular viscosity which damps the velocity fluctuations associated with resistive magnetohydrodynamic (MHD) mode activity. It is found that the growth rate of the ηi instability is much larger than that in a tokamak, because the effects of both bad magnetic curvature and negative compressibility are enhanced in a RFP configuration. The anomalous perpendicular viscosity coefficient is estimated from the mixing length argument and the corresponding ion heating power due to viscous dissipation is found sufficient to balance the ion conductive losses.
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  • 14
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2777-2784 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stellatron accelerator of the University of California at Irvine (UCI) [Phys. Fluids B 2, 3149 (1990)] was modified to accommodate beam extraction. The magnetic field coils were reconstructed to adapt an extraction port. A fiberglass–graphite–epoxy chamber replaced the glass chamber that cracked frequently during the previous experiment. Improvement in the magnetic field configuration has significantly reduced the current loss during acceleration. A 1.1 kA, 12 MeV electron beam was generated by initially forming a 1.2 kA beam with plasma start-up. The beam radius was 5–7 mm. Beam extraction was performed with two auxiliary pulsed current coils and up to 15% of the beam was extracted from the chamber. The extraction process was analyzed by computational orbit simulations.
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  • 15
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2105-2109 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Three new approximants to the solution of the one-dimensional nonlinear Debye screening potential have been obtained. The ions and electrons are in steady-state equilibrium situations with different temperatures. Therefore, the potential satisfies the nonlinear Poisson equation with a Boltzmann factor for both the electronic and ion densities. To obtain the approximants, the original equation has been written in a suitable compact way. The variables have been transformed in such a way that the two-point quasifractional approximation technique can be applied. The simplest approximant is almost as simple as the usual linear one, but it has an additional coefficient and it is more accurate. The other two approximants, more accurate than the simplest one, are exact for the limit of equal temperatures. All the approximants obtained here give better accuracy than the third-order approximation obtained previously by Clemente and Martín [J. Phys. Soc. Jpn. 61, 34 (1992)].
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  • 16
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2125-2134 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A plasma vortex street configuration can evolve when two velocity and one magnetic shear layer interact strongly. A study of the interaction between two- and three-dimensional plasma modes and a mean sheared magnetic field is undertaken using a three-dimensional magnetohydrodynamic spectral Galerkin computation. The initial state is a simple magnetic shear in a plane perpendicular to the plasma velocity shear plane. In a very weak magnetic field, secondary instabilities (three-dimensional modes), expressed by the kinking of vortex tubes, lead to plasma flow along and around the axes of the vortex cores, creating characteristic patterns of kinetic helicity and linkages between vortex filaments. Three-dimensionality leads to the vortex breakdown process. A strong sheared magnetic field inhibits the kinking of vortex tubes, maintaining two-dimensionality. This inhibits vortex breakdown over long dynamical times. There is an anticorrelation in time between linkage indices of the vortex filament (related to kinetic helicity), suggesting that the ellipticity axes of the vortex cores along the street undergo a global inphase evolution. This anticorrelation has a dynamical interpretation. It extends to a relaxing plasma in the Navier–Stokes flow notion that helical regions of opposite helicities interact and screen each other off so that the global helicity remains bounded.
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  • 17
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2200-2206 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In the framework of the analytical study of magnetohydrodynamic (MHD) equilibria with flow and nonuniform density, a general family of well-behaved exact solutions of the generalized Grad–Shafranov equation and of the whole set of time-independent MHD equations completed by the nonbarotropic ideal gas equation of state is obtained, both in helical and axial symmetry. The helical equilibrium solutions are suggested to be relevant to describe the helical morphology of some astrophysical jets.
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  • 18
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2220-2228 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Turbulent momentum transport given by the Reynolds stress is considered as a candidate for explaining the production and sustainment of the mean shear flow in the high confinement "(H)'' mode. The fluctuation mechanism for the shear flow generation and transport reduction in the three-dimensional (3-D) multihelicity system is given. The profiles of the Reynolds stress, shear flow, and thermal flux in the 3-D case are compared with those in the two-dimensional (2-D) case. The Beklemishev–Horton theory for the anomalous transport which multiplies the 2-D transport by the density of distinct mode rational surfaces is found to overestimate the observed flux due to the disappearance of a subset of modes on certain rational surfaces. The mixing-length theory, in which the anomalous transport is independent of the density of mode rational surfaces, underestimates the thermal flux.
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  • 19
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2350-2358 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Based on both the coupled wave theory and the fluid dynamics, a three-dimensional theory of a dense, thick-beam free electron laser is presented which includes combined effects of the electron beam thickness, the radial gradients of the wiggler field, the self-fields of the beam, and the electrostatic field self-consistently. The noncoupling dispersion relations of the scattered wave and the electron plasma wave are, respectively, derived to decide their intersections in the ω-k plane, which tell the resonant conditions of the free electron laser. The coupling dispersion equation is then derived, which can be used to investigate the growth rate and the combined effects on the growth rate of the laser to detailed applications. From the analytic dispersion equation, it is found that the growth rate is proportional to the square root of the product of the beam density and the square of the perpendicular velocity amplitude.
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  • 20
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2383-2397 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Momentum and heat transfer associated with a translating liquid droplet with/without mass efflux from the droplet surface in a quiescent argon thermal plasma environment is studied. A Chebyshev–Legendre spectral method with a fractional time stepping method is expanded to treat the compressible nature of the thermal plasma flow as well as the internal droplet incompressible flow. Steady-state solutions for the case of plasma flow over a constant temperature solid sphere and incompressible flow over a droplet without mass efflux from the droplet are calculated and compared with previously published results. The interfacial phenomena are studied with interfacial physical properties. Transient solutions with droplet internal motion and convective heat transfer with/without mass efflux from the sphere surface are presented. Results indicate that uniform droplet internal temperature is established more quickly than that of a solid sphere in the plasma environment for no mass efflux case. Also, a symmetric interfacial velocity distribution develops along the droplet interface as Reynolds number increases. In case of mass efflux from the sphere, results show that the drag force and heat transfer rate are reduced in the presence of radial mass efflux at the droplet surface.
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  • 21
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1768-1770 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effect of a resistive wall on the stability of a magnetohydrodynamic equilibrium with flow is examined. Gyroscopically stabilized negative energy modes are shown to become unstable in the presence of a resistive wall. An estimate for the growth rate is obtained. The effect of this destabilization on the limits on the safety factor and the plasma beta for a rigidly rotating plasma column are studied.
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  • 22
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1783-1791 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Results of a study of the magnetic compression of one-dimensional energetic ion layers in the presence of conductive background plasmas in cylindrical geometry are presented. For this, an updated hybrid (particle-ion and fluid-electron) computer model has been used. The first observation is that when the magnetic field at the wall is ramped quickly relative to the radial Alfvén wave transit time across the cylinder then a magnetic probe on axis would measure a larger field perturbation. When the wall field is ramped slowly, the layer energy increases proportionally with the external magnetic-field strength and, as expected, the layer self-field on axis does not change relative to external field. A study is also made of the effects of transient fluctuations on the layer energy when the field is ramped quickly. When the ramped field strength is small compared with the ambient field (the linear case), the average layer kinetic energy gained is not substantially different from the case where ramping is slow; however, the fluctuating energy is more than twice the average change. The interesting observation is made that the thermal spread in particle energy for a layer is not necessarily related to the strength of the self-field. This is explained in terms of the single particle motion in a self-potential well, and is different from the expected result for a two-dimensional ring.
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  • 23
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1827-1831 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The confinement of charged particles by linear, time-dependent fields with arbitrary pulse shape is studied. It is assumed that the trapped particles are perturbed by collisions with a neutral background gas. The spatial dispersion and energy of the trapped particles are determined using an asymptotic expansion based on a singular perturbation approach in terms of the momentum exchanged during collisions. Parametric instabilities, which result in the destruction of the confinement, are identified for different pulse shapes.
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  • 24
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1841-1849 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The structure of the self-consistent electromagnetic fields, E, B, and one-particle distribution functions, fs, of a stationary dissipative unbounded S-species plasma, which satisfy a system of Maxwell–Vlasov–Fokker–Planck–Boltzmann equations with velocity-independent (effective) dissipation coefficients and applied constant electric field E, is studied. It is proven that when the plasma is invariant along the direction of E, then (a) the fs are given by S drifting Maxwell–Boltzmann distributions, with densities satisfying self-consistent Poisson–Boltzmann equations of the type first considered by Bennett for S=2; (b) all smooth radial current profiles with normalized particle densities satisfy a generalized Bennett relation; (c) Bennett's current profile is the only fully conformally invariant one; (d) there exist other radial solutions with profiles different from Bennett's.
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  • 25
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1868-1870 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Fully nonlinear ion acoustic solitary waves propagating obliquely to the external magnetic field in an impurity-containing magnetized plasma are investigated.
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  • 26
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2154-2162 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Large amplitude Langmuir and ion-acoustic waves in a weakly relativistic two-fluid plasma are analyzed by the pseudopotential method. The existence conditions for relativistic nonlinear Langmuir waves depend on the relativistic effect, the particular energy, and the ion mass to electron mass ratio. The allowable range of the normalized potential depends on the relativistic effect. It is shown that the Mach number has the significant effect for the formation of relativistic nonlinear ion-acoustic waves rather than the ratio of the ion-acoustic velocity to the velocity of light. The allowable range of the normalized potential depends on the Mach number. The present investigation predicts new findings of relativistic nonlinear Langmuir and ion-acoustic waves in plasmas in which high-speed electrons and ions coexist.
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  • 27
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2163-2171 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Whistler wave excitation in a magnetized laboratory plasma by a density modulated electron beam is studied for frequency modulation below, but in the range of, the electron gyrofrequency. When the beam velocity differs from the phase velocity of the whistler at the frequency modulation of the beam, a whistler wave, and, by Cerenkov emission, a beam wave at the same frequency are excited as single poles. When both velocities are equal, a resonance occurs leading to a maximum in the emission of whistler waves. The experiment performed in a magnetized plasma (np≈1011 cm−3, Te≈0.2 eV, B≈100 G) with a modulated electron beam (nb≈109 cm−3, Eb≈300 eV) is in agreement with a simple model which predicts the characteristics of the excited waves.
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  • 28
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2189-2199 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The microstability of electrostatic waves in the periphery of a Z pinch is formulated and resolved for a new class of Vlasov meta-equilibria admitting self-similar solutions in the electron gyrokinetic limit. These equilibria are subject to strong radial motions, and a mild deviation from charge neutrality arises to maintain ion acceleration close to that of the magnetized electrons. A unique class of profiles in density, axial current, temperature, and drift speed defines these equilibria. They are characterized by (i) the interior pinch current, (ii) the interior number density, (iii) the parallel and perpendicular temperatures, (iv) the exterior axial electric field value at the initial time, and (v) the radial ion acceleration relative to that of the electrons. Unstable ion sound waves arise in this medium by coupling radial and axial free energy to azimuthal longitudinal oscillations. The waves grow only for a limited range of radial or axial E×bˆ/B drift speeds and electron temperatures. The growth rate, which can be as large as 0.115ωpi, is found to scale proportional to plasma frequency over the density range from 1012 to 1018 ions cm−3.
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  • 29
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2229-2244 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The method of Hammett and Perkins [Phys. Rev. Lett. 64, 3019 (1990)] to model Landau damping has been recently applied to the moments of the gyrokinetic equation with curvature drift by Waltz, Dominguez, and Hammett [Phys. Fluids B 4, 3138 (1992)]. The higher moments are truncated in terms of the lower moments (density, parallel velocity, and parallel and perpendicular pressure) by modeling the deviation from a perturbed Maxwellian to fit the kinetic response function at all values of the kinetic parameters: k(parallel)vth/ω, b=(k⊥ρ)2/2, and ωD/ω. Here the resulting gyro-Landau fluid equations are applied to the simulation of ion temperature gradient (ITG) mode turbulence in toroidal geometry using a novel three-dimensional (3-D) nonlinear ballooning mode representation. The representation is a Fourier transform of a field line following basis (ky',kx',z') with periodicity in toroidal and poloidal angles. Particular emphasis is given to the role of nonlinearly generated n=0 (ky' = 0, kx' ≠ 0) "radial modes'' in stabilizing the transport from the finite-n ITG ballooning modes. Detailing the parametric dependence of toroidal ITG turbulence is a key result.
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  • 30
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 2291-2296 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In the Saskatchewan Torus-Modified (STOR-M) tokamak [Phys. Fluids B 4, 3277 (1992)], application of a negative bias results in large negative radial electric field, Er, at the plasma edge, reduced plasma toroidal rotation velocity, and a large poloidal rotation in the electron diamagnetic drift direction. Conversely, a positive bias leads to a relatively small negative Er at the plasma edge, a positive Er in the scrape-off layer, increased toroidal rotation, and an increased poloidal rotation speed in the ion diamagnetic drift direction. Increases in edge plasma density and steepening of its radial profile have also been observed for both polarities.
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  • 31
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    Notes: Space–time-resolved Thomson scattering was used to characterize the electron and ion temperatures in laser produced plasmas of various atomic numbers (Z=6, 13, 32, 73, 92). A Nd:glass laser with intensity between 1013 and 5×1014 W/cm2 was used to produce plasmas of relevance to laser fusion and x-ray laser studies. A comparison of the electron temperature and density deduced from Thomson scattering, x-ray spectroscopy, and lasnex hydrocode simulations is presented.
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  • 32
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    Physics of Plasmas 1 (1994), S. 2359-2370 
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    Notes: The stability of Pierce-like plasma diodes is investigated for arbitrary ion injection velocities. A recently developed integral formalism that accounts for ion dynamical effects is applied to derive a generalized dispersion relation for electrostatic perturbations. Its evaluation exhibits several new features, such as the appearance of growing oscillatory modes, which become Pierce–Buneman modes in the limit of initially resting ions, and of weakly damped oscillatory modes, which become undamped ion plasma oscillations in this limit. The stability of this bounded plasma system is shown to be controlled by the new control parameter αˆ=α(1+μˆ)1/2, where α is the Pierce parameter and μˆ≡mev2e0/miv2i0 the ratio of electron and ion kinetic energy at the emitter.
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  • 33
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    Physics of Plasmas 1 (1994), S. 2401-2403 
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    Notes: Coherent structures rotating at the angular velocity ω in a two-dimensional pure electron plasma confined inside a conducting grounded cylinder are considered. These structures are described by a streamfunction ψ, obeying a nonlinear boundary value problem. It is shown, in particular, that (i) this problem has a minimal cylindrically symmetric solution if it has a solution at all. (ii) For a nonsymmetric solution, 2ω is necessarily comprised between the minimum and maximum values taken by the local diocotron frequency in the cylinder. (iii) Bifurcation of a symmetric radially decreasing solution to a nonsymmetric one can occur only when 2ω is equal to the mean diocotron frequency.
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  • 34
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    Physics of Plasmas 1 (1994), S. 1774-1776 
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    Notes: An experimental study of the rapid step-switching of the frequency of a submillimeter wave gyrotron is described. Modulation of the energy of the electron beam in turn modulates the electron mass and hence the cyclotron resonance frequency fc or its second harmonic 2fc, while the magnetic field B0 remains the same. This opens up the possibility of switching from one cavity mode to another. The first experimental results for frequency switching between two fundamental modes and between a fundamental and a second harmonic mode are demonstrated.
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  • 35
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    Physics of Plasmas 1 (1994), S. 1817-1820 
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    Topics: Physics
    Notes: For a particle moving in the electric field of many, randomly phase waves, numerical measurements show that the Lyapunov exponent (1) asymptotes to a value of 0.4 times the resonance broadening frequency, in contrast with previous calculations, and (2) has a peak at intermediate values of the overlap parameter. This latter result indicates that the previously observed enhancement of the diffusion coefficient is not due to coherence effects near stable regions of phase space. These results provide further evidence that the standard model is an inadequate description of the turbulent electric field.
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  • 36
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    Physics of Plasmas 1 (1994), S. 1168-1176 
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    Notes: Parallel viscosity in the banana regime in a poloidally (E×B) rotating tokamak plasma is calculated to include the effects of orbit squeezing and to allow the poloidal E×B Mach number Mp to have a value of order unity. Here, E is the electric field and B is the magnetic field. The effects of orbit squeezing not only modify the size of the particle orbit, but also change the fraction of poloidally trapped particles. Resonance between the particle parallel (to B) speed u and the poloidal component of the E×B velocity can only occur for those particles with energy (v/vt)2(approximately-greater-than)M2p (with v the particle speed and vt the thermal speed). Thus, the resonance parallel plasma viscosity in the banana regime decreases exponentially with M2p when M2p≥1, and has a local maximum of M2p∼1.
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  • 37
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    Physics of Plasmas 1 (1994), S. 1199-1213 
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    Notes: The stability of plasma flow in the scrape-off layer of a tokamak, taking into account the surface sheath impedance and the axial shear in the E×B flow is analyzed. An interesting stability problem arises in the limit that end plates are sufficiently far apart, so that stability can be analyzed when the plasma is taken to interact with a single end plate. As parameters are varied, windows of instability are found, and it is shown that growth rates are maximized for an insulating end plate and are also quite sensitive to the ratio of the ion diamagnetic and E×B drift frequencies. Mixing-length estimates of the diffusivity are comparable to experimentally observed values.
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  • 38
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    Physics of Plasmas 1 (1994), S. 1242-1250 
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    Notes: In today's high frequency systems employed for plasma diagnostics, power heating, and current drive the behavior of the wave beams is appreciably affected by the self-diffraction phenomena due to their narrow collimation. In the present article the three-dimensional propagation of Gaussian beams in inhomogeneous and anisotropic media is analyzed, starting from a properly formulated dispersion relation. Particular attention is paid, in the case of electromagnetic electron cyclotron (EC) waves, to the toroidal geometry characterizing tokamak plasmas, to the power density evolution on the advancing wave fronts, and to the absorption features occurring when a beam crosses an EC resonant layer.
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  • 39
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    Physics of Plasmas 1 (1994), S. 1256-1263 
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    Notes: The stability of finite size magnetic islands is analyzed in configurations with multiple resonant magnetic surfaces. It is demonstrated that there are configurations that are linearly stable which can be unstable to finite size perturbations. Two different examples of single helicity double tearing are given for configurations with two q=2 surfaces. In the first case the destabilization is due to the extension of magnetic separatrices out to regions of destabilizng current gradients. For the second case the modes are linearly stabilized by the suppression of the linear coupling of the rational surfaces by differential plasma rotation, which essentially decouples the perturbations around the different rational surfaces. A finite size magnetic island will interact quasilinearly with initial plasma rotation. The plasma rotation is then equilibrated and the mode destabilized.
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  • 40
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    Physics of Plasmas 1 (1994), S. 1287-1302 
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    Notes: The Landau-fluid model is a recently introduced fluid-moment closure scheme [G. W. Hammett and F. W. Perkins, Phys. Rev. Lett. 64, 3019 (1990)] that was designed to include kinetic dissipative effects like Landau damping in fluid calculations. The fluid-moment hierarchy is terminated by assuming linear relationships among the retained moments in Fourier-transform space, with coefficients determined by matching the plasma response to that obtained from a kinetic analysis. This paper generalizes the technique to the full range of ion and electron collisionality and applies it to a new fluid simulation code constructed to study laser filamentation in underdense plasmas [Berger et al., Phys. Fluids B 5, 2243 (1993)]. By matching the ion-acoustic complex frequency derived from the fluid model with that predicted by collisional, Fokker–Planck, and kinetic analyses, the specific heat ratio, thermal conductivity coefficient, and viscosity coefficient for ions and the thermal conductivity coefficient for electrons are determined as functions of the wave number k. For frequencies much less than the pump frequency this leads to a fourth-order polynomial dispersion relation whose spectrum includes damped ion-acoustic waves as well as filamentation modes whose stability depends on the pump strength. An analytic instability threshold condition on the laser intensity is derived from which the relative importance of ponderomotive and thermal drives can be assessed. Expressions for the linear susceptibilities in the presence of a finite-amplitude pump are also given, which might prove useful for understanding spectral linewidths for Thomson scattering.
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  • 41
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    Physics of Plasmas 1 (1994), S. 2026-2037 
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    Notes: A quantum collective approach is developed to investigate linear transport properties of a system of highly degenerate weakly coupled electrons and strongly coupled semiclassical ions. The basic formalism rests upon suitable extention of the Boltzmann–Bloch quantum transport equation. The model considers electron–ion (e–i) and electron–electron (e–e) collisions in a unified scheme of both long- and short-range Coulomb interactions. The e–e collisions contribute to the thermal conductivity calculation in the low coupling regime. Even though they can be insignificant for strongly coupled systems, the extensively used Lorentz gas approximation cannot be justified for plasmas of astrophysical interests. It is shown that the Lorentz ratio of high-density plasma may exhibit substantial negative deviation from the ideal Sommerfeld value, due to some nonidealities, such as e–e interaction and quantum effects. Results are presented under analytical and compact forms allowing numerical applications, as well as comparisons with existing theories.
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  • 42
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    Physics of Plasmas 1 (1994), S. 2063-2071 
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    Notes: A dense pulsed electron beam (tr≤20 ns, Vb=200 V, ib≤2 A, nb/ne≤10%) is injected into a uniform magnetoplasma (ne=1−4×1010 cm−3, kTe≤0.5 eV, B0=90 G) to study wave–particle interactions that occur at the front of the beam on short-time scales during which the ions are regarded as fixed and immobile. Above a threshold beam density (nb/ne(approximately-greater-than)5%), the beam front is observed using optical diagnostics to rapidly erode due to beam scattering and energetic tail production, and broaden into a warm front that propagates slower than its injected speed. Using radio-frequency (RF) antennas, the beam is observed to bunch due to the streaming beam–plasma instability and create a ballistic beam mode (fB=nfpe), which collapses into broadband electrostatic turbulence during the onset of beam scattering. A low-frequency electrostatic wave mode (fpi〈fLF〈fpe) is also detected that is coupled to the scattering process. These measurements show that rich beam–plasma phenomena occur in this electron time-scale regime, which are not adequately addressed by current plasma theory.
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  • 43
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    Physics of Plasmas 1 (1994), S. 1128-1136 
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    Notes: The confinement of ions and electrons by linear and nonlinear fields is studied. It is assumed that both species are perturbed by collisions with a neutral background gas with the resulting energy and momentum transfer between the interacting species. Asymptotic expansions, based on a singular perturbation approach in terms of the momentum exchange during collisions, are used to determine the distribution function of the confined species.
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  • 44
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    Physics of Plasmas 1 (1994), S. 1159-1167 
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    Notes: Nonlinear low-frequency long wavelength waves are studied in the framework of the proposed method of the direct kinetic equation expansion in the inverse gyrofrequency power series. Nonlinear two-dimensional equations are found for perpendicular magnetosonic waves with subsequent reduction to the Korteweg–de Vries equation for quasistationary one-dimensional (QS1D) perpendicular magnetosonic wave. The dispersion is determined by the ion gyroradius ρi. Equations for nonlinear QS1D parallel Alfvén waves and QS1D oblique fast magnetosonic waves are found. It is shown that the form of the equations coincides with that one obtained from hydrodynamics but the dispersion lengths and coefficients at nonlinear terms are different. Dispersion of quasiparallel fast waves is positive and determined by the ion inertial length c/ωpi, while quasiperpendicular waves have negative dispersion determined by the ion gyroradius ρi.
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  • 45
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    Physics of Plasmas 1 (1994), S. 1195-1198 
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    Notes: An explanation, supported by numerical simulations and analytical theory, is given for the harmonic cyclotron emission induced by fast ions in tokamak plasmas—in particular, for the emission observed at low harmonics in deuterium–deuterium and deuterium–tritium experiments in the Joint European Torus [e.g., Phys. Rev. Lett. 60, 33 (1988)]. It is shown that the first proton harmonic, whose field energy amplitude scales as the 0.84 power of the proton density, is one of the highest spectral peaks, whereas the first alpha harmonic is weak. The relative spectral amplitudes of different harmonics are compared. The results are consistent with the experimental observations. The simulations verify that the instabilities are caused by a weak relativistic mass effect. Simulation also shows that a nonuniform magnetic field leads to no appreciable change in the growth rate and saturation amplitude of the waves.
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  • 46
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    Physics of Plasmas 1 (1994), S. 1231-1241 
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    Notes: Plasma diagnostics using synchrotron radiation in next generation large tokamaks is discussed. Is is first shown that for electron temperature on axis in excess of 20–25 keV, harmonic overlap invalidates the familiar second harmonic emission method for temperature measurements in the central plasma region. Next, it is shown that radiation measurements at arbitrary frequencies of the X-mode normal to the magnetic field in the horizontal and vertical directions yield a set of independent equations for deriving the plasma parameters characterizing the temperature and density profiles. The method and the salient features of the emitted radiation at arbitrary frequencies are illustrated for parameters being considered in the design of tokamak reactors.
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  • 47
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    Physics of Plasmas 1 (1994), S. 1270-1278 
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    Notes: In the long-wavelength limit, many aspects of the Rayleigh–Taylor (RT) instability of accelerated fluid shells can be explored by using the thin sheet approximation. For two-dimensional (2-D) planar eigenmodes, analytic nonlinear solutions [E. Ott, Phys. Rev. Lett. 29, 1429 (1972)] are available. Comparing the simplest of them for the nonconstant acceleration, g∝t−2, with Ott's solution for constant g, the applicability of nonlinear results obtained for constant g to situations with variable acceleration is analyzed. Nonlinear three-dimensional (3-D) effects are investigated by comparing the numerical solutions for axisymmetric Bessel eigenmodes with Ott's solution for 2-D modes. It is shown that there is a qualitative difference between 2-D and 3-D bubbles in the way they rupture a RT unstable fluid shell: In contrast to the exponential thinning of 2-D bubbles, mass is fully eroded from the top of an axisymmetric 3-D bubble within a finite time of (1.1–1.2)γ−1 after the onset of the free-fall stage; γ is the RT growth rate.
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  • 48
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    Physics of Plasmas 1 (1994), S. 1306-1317 
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    Notes: The spectral and temporal radiation characteristics of an axially extended (finite-size), transversally accelerated, charge distribution propagating on fixed helical trajectories through a wiggler are derived both in free-space and in a cylindrical waveguide. If the charge distribution scale length is short compared to the radiation wavelength, the electron bunch essentially behaves as an accelerated point charge, and coherently radiates spontaneous synchrotron radiation. In a waveguide, two very different radiation processes are possible. At grazing, where the axial bunch velocity matches the electromagnetic wave group velocity, the single output radiation pulse is extremely short, and chirped over the full interaction bandwidth; the pulse duration is determined by group velocity dispersion. In the free-space limit, the widths of the Doppler upshifted and downshifted radiation pulses are determined by slippage. At grazing, the radiation power level is considerably higher than that expected from the conventional coherent synchrotron scaling.
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  • 49
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    Notes: The interaction of intense proton beams with low-pressure (0.25 to 4 Torr) background gases is studied to evaluate beam-current neutralization during transport. Electrons to neutralize the beam are provided by beam-induced ionization of the gas. In experiments with 1 MeV, 1 kA/cm2 protons, net currents outside the beam envelope and electron densities within the beam envelope are measured for helium, neon, argon, and air. Net-current fractions are 2% to 8% and ionization fractions are 0.6% to 5% for 5 to 7 kA beams. Simulations of the experiments for helium and argon suggest that fast electrons play an important role in generating a significant fraction of the return current in a halo outside the beam. As a result, net currents inside the beam may be larger than inferred from magnetic-field measurements outside the beam. Ions at the head of the beam are observed to lose more energy than expected from collisional energy losses in the background gas.
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  • 50
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    Notes: In addition to being initially developed as an energy driver for an inertial confinement fusion, an intense, pulsed, light-ion beam (LIB) has been found to be applied to materials science. If a LIB is used to irradiate targets, a high-density "ablation'' plasma is produced near the surface since the range of the LIB in materials is very short. Since the first demonstration of quick preparation of thin films of ZnS by an intense, pulsed, ion-beam evaporation (IBE) using the LIB-produced ablation plasma, various thin films have been successfully prepared, such as of ZnS:Mn, YBaCuO, BaTiO3, cubic BN, SiC, ZrO2, ITO, B, C, and apatite. Some of these data will be presented in this paper, with its analytic solution derived from a one-dimensional, hydrodynamic, adiabatic expansion model for the IBE. The temperature will be deduced using ion-flux signals measured by a biased ion collector. Reasonable agreement is obtained between the experiment and the simulation. High-energy LIB implantation to make chemical compounds and the associated surface modification are also discussed.
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    Physics of Plasmas 1 (1994), S. 1008-1024 
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    Notes: An analytical model of the interaction between a localized wave packet and energetic electrons is presented. Electrostatic packets of tens to a hundred wavelengths are considered in order to emulate the Langmuir waves observed in the auroral zone and in the solar wind. The phase information is retained, so the results can be applied to wave–particle correlator measurements. The perturbed distribution function is explicitly calculated and is shown to be bounded over all phase space due to a broadening of resonance ascribable to the finite extent of the packet. Its resistive part (in phase or 180° out of phase with the electric field) maximizes for v=ω/k, so that the associated bunching of electrons enables assessment of the characteristic wavelength. The changes in the wave profile due to the interaction with the energetic electrons are calculated. Broad wave packets grow or decay "self-similarly'' with a rate given by the standard expression for a plane wave. Narrow, growing packets, on the other hand, quickly widen to sizes determined by the local distribution function. This sets a lower bound to the sizes of observed packets. Present results are supported by test-particle simulations and are in accord with recent correlator data of intense, localized Langmuir waves in the auroral zone.
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    Physics of Plasmas 1 (1994), S. 1075-1088 
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    Notes: The partition functions are calculated for the 127I127I iodine molecule, the 127I atom, and the corresponding singly charged atomic ion and are subsequently used in calculating the dissociation and ionization degrees as well as the thermodynamic functions in iodine vapor in local thermal equilibrium in the temperature range of 700≤T≤12 000 K. It was found that at densities greater than 1014 cm−3 iodine dissociates at rather low temperatures (T〈3000 K) and only achieves significant ionization at high temperatures (T(approximately-greater-than)10 000 K). This makes iodine a convenient model gas for studying chemical nonequilibrium in diatomic gases.
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    Physics of Plasmas 1 (1994), S. 1095-1095 
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    Notes: The comments of Thomson and Wright on the original paper by Hanson and Goetz (Ref. 1), are answered. It is contended that if low orders are considered in the expansion, the results of Ref. 1 will be valid. (AIP)
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    Physics of Plasmas 1 (1994), S. 809-814 
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    Notes: The threshold for parametric excitation of drift waves in a sheared slab geometry is calculated for a drift-wave pump which has a standing wave structure along the magnetic field, and the coupling is achieved by the Hasegawa–Mima vector product-type nonlinearity. The usual shear damping is counteracted by the parametric interaction which causes a reversal of the direction of the drift wave group velocity, and the nonlinear eigenvalue problem is solved analytically using Taylor's strong coupling approximation.
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    Physics of Plasmas 1 (1994), S. 834-841 
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    Notes: Numerical studies are made on dynamics of electrons under electron cyclotron resonance heating (ECRH) by a strong monochromatic wave in a nonuniform magnetic field. The response of the electrons is described in terms of gains in energy and magnetic moment. These expressions are employed to define a response function which connects the velocity distributions of electrons before and after heating in a wide range of conditions. The response function is applied to calculate the velocity distribution of cold electrons which stream up the magnetic slope and are heated at the resonance. This configuration simulates a possible scheme for controlling an inward flux of cold electrons in diverter regions of tori and in mirror ends by mirror reflection enhanced by ECRH. The velocity distribution shows wing-like structures which are not expected from diffusion equations.
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    Physics of Plasmas 1 (1994), S. 875-880 
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    Notes: The generation of plasma by helicon waves has been investigated in the Small Heliac Experimental Apparatus [Nucl. Fusion 25, 1485 (1985)]. Evidence for wave–particle interaction in both argon and helium is presented in the form of observations of the electron distribution function. A high energy bump-on-tail feature is shown to coincide with the wave phase velocity and with an energy corresponding to a large ionization cross section. It is shown that the bump-on-tail feature may be related to the ionization capability of helicon waves and may be a result of some form of radio frequency current drive.
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  • 57
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    Physics of Plasmas 1 (1994), S. 1519-1522 
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    Notes: The resonant excitations of high-n magnetohydrodynamic instabilities by the energetic ions/alpha particles in tokamaks are theoretically analyzed. Here, n is the toroidal mode number. The magnetohydrodynamic eigenmodes, typically, consist of two-scale structures; one corresponds to the singular ("inertial'') region and the other the regular (ideal) region. Due to the finite-size orbits, the energetic particle contributions in the singular region are suppressed. Analytical dispersion relations can be derived via the asymptotic matching analysis. The dispersion relations have the generic form of the "fishbone'' dispersion relation [Phys. Rev. Lett. 52, 1122 (1984)] and demonstrate, in particular, the existence of two types of modes; that is, the discrete gap mode and the energetic-particle continuum mode. Specific expressions are given for both the kinetic ballooning modes and the toroidal Alfvén modes.
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    Physics of Plasmas 1 (1994), S. 1523-1528 
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    Notes: New results show that a toroidal plasma can be ideally stable to gross modes without a toroidal magnetic field. Previous ideal-magnetohydrodynamic (MHD) studies for such systems [commonly called field-reversed configurations (FRC)] have consistently predicted instability to the tilting mode (lowest-order kink mode). However, a new range of equilibria not previously considered are found, which are stable to tilting in ideal-MHD theory. The equilibrium properties that promote stability are hollow current profile, and racetrack separatrix shape. Stable equilibria may not be possible in a θ-pinch system, but could be achieved with a properly designed vertical field coil set. The stability of FRC's in past θ-pinch experiments arises partly from nonideal effects, but benefits considerably from hollow current profile and racetrack separatrix shape.
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    Notes: Experiments to explore the long-time evolution of noninductive, high βp plasmas in the DIII-D tokamak [Plasma Physics and Controlled Nuclear Fusion Research, 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 1, p. 159], have identified a new, quiescent, high performance regime. The experiments were carried out at low current (400–800 kA) with medium power neutral beam injection (3–10 MW). This regime is characterized by high q0 ((approximately-greater-than)2) and moderate li(∼1.3). It is reached by slow relaxation of the current profile, on the resistive time scale. As the profiles relax, q0 rises and li falls. When q0 goes above 2 (approximately), magnetohydrodynamic (MHD) activity disappears, and the stored energy rises. Most dramatic is the strong peaking of the central density, which increases by as much as a factor of 2. The improved central confinement appears similar to the PEP/reversed central shear/second stable core modes seen in tokamak experiments, but in this case without external intervention or transient excitation. At high current, a similar, but slower relaxation is seen. Also notable in connection with these discharges is the behavior of the edge and scrape-off layer (SOL). The edge localized modes (ELM's) as seen previously, are small and very rapid (to 1 kHz). The SOL exhibits high density (≥1×1019 m−3), which shows little or no falloff with radius. Also the power deposition at the divertor surface is very broad, up to four times the width usually seen. This regime is of particular interest for the development of steady-state tokamak operating scenarios, for the Tokamak Physics Experiment (TPX), and following reactors.
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    Notes: A noninductive current drive concept, based on internal pressure-driven currents in a low-aspect-ratio toroidal geometry, has been demonstrated on the Current Drive Experiment Upgrade (CDX-U) [Forest et al., Phys. Rev. Lett. 68, 3559 (1992)] and further tested on DIII-D [in Plasma Physics and Controlled Nuclear Fusion Research, 1986, Proceedings of the 11th International Conference, Kyoto (International Atomic Energy Agency, Vienna, 1987), Vol. 1, p. 159]. For both experiments, electron cyclotron power provided the necessary heating to breakdown and maintain a plasma with high-βp and low collisionality (εβp∼1, ν*≤1). A poloidal vacuum field similar to a simple magnetic mirror is superimposed on a much stronger toroidal field to provide the initial confinement for a hot, trapped electron species. With application of electron cyclotron heating (ECH), toroidal currents spontaneously flow within the plasma and increase with applied ECH power. The direction of the generated current is independent of the toroidal field direction and depends only on the direction of the poloidal field, scaling inversely with magnitude of the later. On both CDX-U and DIII-D, these currents were large enough that stationary closed flux surfaces were observed to form with no additional Ohmic heating. The existence of such equilibria provides further evidence for the existence of some type of bootstrap current. Equilibrium reconstructions show the resulting plasma exhibits properties similar to more conventional tokamaks, including a peaked current density profile which implies some form of current on axis or nonclassical current transport.
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    Physics of Plasmas 1 (1994), S. 1612-1618 
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    Topics: Physics
    Notes: The International Thermonuclear Experimental Reactor (ITER) [International Thermonuclear Experimental Reactor (ITER) (International Atomic Energy Agency, Vienna, 1988), ITER Documentation Series, No. 1] project is a multiphased project, presently proceeding under the auspices of the International Atomic Energy Agency according to the terms of a four-party agreement among the European Atomic Energy Community (EC), the Government of Japan (JA), the Government of the Russian Federation (RF), and the Government of the United States (US), "the Parties.'' The ITER project is based on the tokamak, a Russian invention, and has since been brought to a high level of development in all major fusion programs in the world. The objective of ITER is to demonstrate the scientific and technological feasibility of fusion energy for peaceful purposes. The ITER design is being developed, with support from the Parties' four Home Teams and is in progress by the Joint Central Team. An overview of ITER Design activities is presented.
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    Physics of Plasmas 1 (1994), S. 1635-1642 
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    Notes: Solid state density aluminum and carbon plasmas were generated by 350 fs KrF laser pulses at intensities of 1017 W cm−2. Reflectivity, x-ray emission, and spectra of the backscattered radiation were measured as a function of the laser polarization, angle of incidence, and intensity (I). For p-polarized light, the absorption (A) is almost intensity independent for 1015 W cm−2〈I〈2×1017 W cm−2, and can reach values up to A=0.8. For constant laser intensity, p-polarized light is up to a factor of 15 more efficient in generating x rays than s-polarized light. A polarization and angle of incidence-dependent absorption mechanism, such as resonance absorption or vacuum heating, is consequently important. The spectral line shape and positions of the reflected radiation from the carbon plasma showed a substantial intensity dependence. It is demonstrated that the backscattered spectrum is influenced by the plasma expansion (Doppler effect) and the temporal development of the electron density.
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  • 63
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    Notes: One- and two-dimensional, time-resolved x-ray radiographic imaging at high photon energy (5–7 keV) is used to study shock propagation, material motion and compression, and the effects of shear flow in solid density samples which are driven by x-ray ablation with the Nova laser. By backlighting the samples with x rays and observing the increase in sample areal density due to shock compression, the trajectories of strong shocks (∼40 Mbars) in flight are directly measured in solid density plastic samples. Doping a section of the samples with high-Z material (Br) provides radiographic contrast, allowing a measurement of the shock-induced particle motion. Instability growth due to shear flow at an interface is investigated by imbedding a metal wire in a cylindrical plastic sample and launching a shock in the axial direction. Time-resolved radiographic measurements are made with either a slit-imager coupled to an x-ray streak camera or a pinhole camera coupled to a gated microchannel plate detector, providing ∼10 μm spatial and ∼100 ps temporal resolution.
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    Physics of Plasmas 1 (1994), S. 805-805 
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    Physics of Plasmas 1 (1994), S. 245-248 
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    Notes: There are two known types of radial eigenmodes for drift waves in toroidal geometry. These are shown to be limits of a single unified description, analogous to the librational and rotational modes of a pendulum.
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    Physics of Plasmas 1 (1994), S. 315-320 
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    Notes: An analytical model has been developed for the nonlinear interaction of linear tearing modes with different helicities in cylindrical geometry. The linear tearing modes are nonlinearly coupled together by the v×B induced electrical field as soon as they exist. According to the standard scaling of linear tearing mode, the nonlinear coupling is mainly through the convective term in evolution equation of poloidal magnetic flux perturbation at resistive layer. The set of nonlinear equations, therefore, can be derived for the time evolution of the flux perturbations of nonlinear coupling modes by asymptotic matching to eliminate the space variable. The nonlinear coupling effect depends on the relative amplitudes of the tearing modes and the nonlinear coupling parameters {αmn}, which are determined by the relative slopes of equilibrium current density in singular layers. The marginally stable m/n mode could be destabilized by the nonlinear coupling with the other modes only if αmn〈0. The flux perturbations include both the exponential growth and algebraical evolution. The latter is caused by the nonlinear coupling and becomes more important even dominant when the flux perturbations increase.
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    Physics of Plasmas 1 (1994), S. 356-372 
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    Topics: Physics
    Notes: Ambiguities in the ideal magnetohydrodynamic (MHD) analysis of toroidal Alfvén eigenmodes (TAE) are resolved by incorporating nonideal effects (finite electron conductivity and ion gyroradius) into the MHD model of Rosenbluth et al. [Phys. Fluids B 4, 1806 (1992)]. The previous ideal theory yields a dielectric function containing branch points in the complex frequency plane, but provides no specification of the corresponding branch lines. The kinetic model represents a singular perturbation of the ideal theory, and specifies precisely the location of branch cuts in the ideal limit. Moreover, the analytic structure of the complex frequency plane for the kinetic model shows a countably infinite set of poles in place of a branch cut—with a new kinetic-type TAE mode near each pole. It has also been verified that the ideal frequency root is in most cases close to one of the kinetic roots. The damping and mode structure is determined numerically within the framework of the high-mode-number, small inverse aspect ratio, low beta, small gyroradius model. Finally, an analytic form for the damping is obtained including both continuum and nonideal effects, and agrees well with the numerical results.
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    Physics of Plasmas 1 (1994), S. 398-403 
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    Notes: Numerical simulations give evidence that a weak microundulator (field on axis: Bu≈50 G, period: λu≈5 mm), operating in magnetoresonance with a strong guide field (Bg≈3×104 G), is capable of producing millimeter and submillimeter radiation with an output power around 1 MW. The electronic efficiency appears to range between 1% and 5%, depending on the radial profile of the electron beam density at the undulator entrance. As an example, the energy of the electron beam is 300 kV to yield a radiation frequency slightly below 200 GHz. Analytical scaling laws for the electron dynamics at magnetoresonance predict that the relative spectral width of the spontaneous emission is proportional to (Bu/Bg)2/3, thus giving support to the surprising results in the case of a weak microundulator.
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    Physics of Plasmas 1 (1994), S. 429-443 
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    Topics: Physics
    Notes: The three-dimensional particle-in-cell code quicksilver [Seidel et al., Computational Physics, edited by A. Tenner (World Scientific, Singapore, 1991), p. 475] has been used to study applied-B ion diodes. The impedance behavior of the diode in these simulations is in good agreement with both analytic theory and experiments at peak power. The simulations also demonstrate the existence of electromagnetic instabilities which induce divergence in the ion beam. Early in time, there is an instability at high frequency relative to the ion transit time τi, and the resulting beam divergence is low. However, later in time, the system makes a transition to an instability with a frequency close to 1/τi, and the ion beam divergence rises to an unacceptably high value. The transition is associated with the build-up of electron space charge in the diode, and the resulting increase in the beam current density enhancement (J/JCL). Using different schemes to inhibit the electron evolution, the transition has both been postponed and permanently eliminated, resulting in Li+1 ion beams with a sustained divergence of ∼10 mrad at an energy of ∼10 MeV.
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    Physics of Plasmas 1 (1994), S. 3734-3741 
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    Topics: Physics
    Notes: A new and efficient method for calculating the attenuation coefficient of weakly damped electromagnetic waves traveling along wave-guiding structures partially or entirely filled by a lossy anisotropic dielectric, in particular cold axially magnetized plasma, is proposed. The structure cross-section geometry can be arbitrary and any nonradiating mode can be considered. In the case of plasma columns, they might be transversely inhomogeneous. Having obtained the attenuation coefficient, it is straightforward to find out the axial structure of plasma columns sustained by the waves themselves. The method is applied to azimuthally symmetric and dipolar waves in cylindrical plasma columns and it is found to reproduce all known theoretical results within its applicability. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3775-3783 
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    Notes: The spatial evolution of the radial profile of the magnetic field of a shear Alfvén wave launched by a disk exciter with radius on the order of the electron skin depth has been measured. The waves are launched using wire mesh disk exciters of 4 mm and 8 mm radius into a helium plasma of density about 1.0×1012 cm−3 and magnetic field 1.1 kG. The electron skin depth δ=c/ωpe is about 5 mm. The current channel associated with the shear Alfvén wave is observed to spread with distance away from the exciter. The spreading follows a cone-like pattern whose angle is given by tan θ=kAδ, where kA is the Alfvén wave number. The dependence of the magnetic profiles on wave frequency and disk size are presented. The effects of dissipation by electron–neutral collisions and Landau damping are observed. The observations are in excellent agreement with theoretical predictions [Morales et al., Phys. Plasmas 1, 3765 (1994)]. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3814-3825 
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    Topics: Physics
    Notes: The direct measurement of the velocity space transport of ions in a plasma is reported. Measured diffusion and convection coefficients are compared to the calculated Fokker–Planck coefficients for a fully ionized plasma. The measurements were made in a Q-machine barium plasma (Ti=Te= 0.17 eV, 5×108≤n≤8×109 cm−3) with both high and low fluctuation levels. At low fluctuation levels the measured coefficients agree with classical collision theory. Coefficients measured in the presence of large amplitude fluctuations generally are larger and have different velocity dependences. Test particle distributions are created and interrogated using the technique of optical tagging. The short-time ((very-much-less-than)90° collision time) relaxation of the test particle distribution function was measured as a function of density and temperature of the background plasma and as a function of the velocity of the test particle distribution. The values of the convection and diffusion coefficients were extracted from these measurements. Longer time relaxations (∼90° time) also were measured. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3857-3870 
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    Topics: Physics
    Notes: An analytic model is developed to estimate the classical pitch angle scattering loss of energetic fusion product ions into prompt loss orbits in a tokamak geometry. The result is applied to alpha particles produced by deutrium–tritium fusion reactions in a plasma condition relevant to Tokamak Fusion Test Reactor (TFTR) [Proceedings of the 14th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Würzburg, 1992 (International Atomic Energy Agency Vienna, 1992)]. A poloidal angular distribution of collisional fast ion loss at the first wall is obtained and the numerical result from the transp ["A standard D–T supershot simulation'' (to be published in Nucl. Fusion, 1994)] code is discussed. The present model includes the effect that the prompt loss boundary moves away from the slowing-down path due to reduction in banana thickness, which enables one to understand, for the first time, the dependence of the collisional loss rate on Zeff. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3807-3813 
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    Notes: It is shown that the conservation of flow circulation along magnetic field lines can be used to improve on the δW stability criterion for rotating plasmas by adding to the energy integral a positive definite term. The improvement is most effective for ballooning modes in systems with a closed-line magnetic field. Such systems are investigated, both when the flow is sheared and when it is unsheared. In the unsheared case, instabilities grow exponentially in time, while, if the flow is sheared, an instability eventually saturates. The time-asymptotic behavior of such solutions is obtained and is different from the asymptotic behavior when the magnetic field is sheared. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3826-3842 
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    Notes: The running diffusion coefficient D(t) is evaluated for a system of charged particles undergoing the effect of a fluctuating magnetic field and of their mutual collisions. The latter coefficient can be expressed either in terms of the mean square displacement (MSD) of a test particle, or in terms of a correlation between a fluctuating distribution function and the magnetic field fluctuation. In the first case a stochastic differential equation of Langevin type for the position of a test particle must be solved; the second problem requires the determination of the distribution function from a kinetic equation. Using suitable simplifications, both problems are amenable to exact analytic solution. The conclusion is that the equivalence of the two approaches is by no means automatically guaranteed. A new type of object, the "hybrid kinetic equation'' is constructed: it automatically ensures the equivalence with the Langevin results. The same conclusion holds for the generalized Fokker–Planck equation. The (Bhatnagar–Gross–Krook) (BGK) model for the collisions yields a completely wrong result. A linear approximation to the hybrid kinetic equation yields an inexact behavior, but represents an acceptable approximation in the strongly collisional limit. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3686-3692 
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    Notes: Properties of the diocotron instability in a relativistic sheet electron beam propagating through a rectangular conducting wall are investigated within the framework of a macroscopic cold fluid model. The electron beam is assumed to be partially neutralized by the positive immobile ions with the fractional charge neutralization f. The eigenvalue equation is obtained for low-frequency perturbations in standing waves. The dispersion relation of the diocotron instability is derived and used to investigate stability properties for a broad range of system parameters including the ratio a/d of the beam thickness (2a) to the conductor gap (2d) and the charge neutralization f. The dispersion relation indicates that the system is stabilized by increasing the neutralization f to 1/γ2b, where γb is the characteristic value of the beam relativistic factor. It is also shown that the diocotron perturbations are completely stabilized by increasing the beam thickness to more than one-half the conductor gap (i.e., a/d(approximately-greater-than)0.5) for f=0. The growth rate of instability is a substantial fraction of the diocotron frequency if the system is unstable.
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    Physics of Plasmas 1 (1994), S. 3716-3717 
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    Notes: The transverse attenuation coefficient for the transverse surface electromagnetic wave is derived. This Comment shows that the result derived in Ref. [Phys. Fluids B 5, 4502 (1993)] for this transverse attenuation coefficient is incorrect.
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    Physics of Plasmas 1 (1994), S. 3942-3973 
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    Notes: A long mean free path, small Larmor radius expansion of the coupled Fokker–Planck equations for ions and electrons is performed for a steady-state, axisymmetric, Ohmically driven tokamak with small energy sources. The expansion is different from, but related to, the secondary long mean free expansion of the usual neoclassical transport theories. Two scalings of loop voltage are proposed, where the ratio of the Ohmic current to the bootstrap current is either of order one, or large. The second scaling is presently more appropriate. The expansion of the kinetic equations can be carried to all orders, and there are four equations for the four lowest order profile functions n(ψ), Ti(ψ), Te(ψ), and φ(ψ). For comparable Ohmic and bootstrap currents Ti(ψ)=Te(ψ). For larger loop voltage the temperature difference may be nonzero, depending on the necessary energy sinks. The electron energy flux is calculated and scales differently from neoclassical theory giving much larger transport. The energy confinement time varies in magnitude, depending on the loop voltage and the energy sinks. Values comparable with present experiments appear possible. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 4002-4013 
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    Notes: In a recent work [N. Mattor and P. H. Diamond, Phys. Rev. Lett. 62, 486 (1994)], it was suggested that large amplitude turbulence in edge plasmas [ñ/n0∼O(1)] could originate from the core, reaching large amplitude when encountering regions of low density and temperature. Here the slab model of that theory is elaborated on and generalized to the case of nonadiabatic electron dynamics. It is shown that a drift wave launched with ñ/n0(very-much-less-than)1 in a dense region can propagate into a sparse region and amplify. It is shown that such waves cannot propagate into regions with a large increase of velocity, suggesting a simple explanation of the observed correlation between edge shear flows and high confinement ("H'' modes). It is shown that a wave launched in the adiabatic regime can become nonadiabatic when propagating into a low density and temperature edge region, suggesting a possible explanation for probe measurements. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 4043-4049 
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    Notes: The collisional heating rate of a fully ionized plasma driven by a strong electromagnetic pump wave is re-examined both analytically and with two-dimensional particle-in-cell (PIC) simulations. The high frequency conductivity model of Dawson and Oberman [J. Dawson and C. Oberman, Phys. Fluids 5, 517(1962)] is extended for the case in which the quiver velocity vo=eE/mωo is much larger than the thermal velocity vth and its equivalence to the results of Silin [V. P. Silin, Sov. Phys. JETP 20, 1510 (1965)] is shown. The Dawson and Oberman model is reduced to two-dimensions for comparison with the PIC simulations. Excellent agreement between the theory and the simulations for vo/vth≤1 is obtained. However, when vo/vth(very-much-greater-than)1 and the excursion amplitude xo=eE/mω2o is larger than the Debye length λD, the simulations show enhancements in the collision frequency from the theory. A possible mechanism for this enhancement is provided. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 4082-4088 
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    Notes: Through Cerenkov emission, the interaction of an electron beam with a plasma leads to the excitation of whistler waves. Particle-in-cell simulations show that, when the beam is injected at an angle with respect to the magnetic field, the whistler wave emission of a modulated beam is increased compared to the same beam without modulation. This increased emission is related to the transfer of energy which occurs between the electrostatic mode directly excited by the density modulation and the electromagnetic whistler. This transfer of energy requires that the electrostatic field has a component perpendicular to the magnetic field. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 4105-4113 
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    Notes: A theoretical model for energy spread and shift of peak energy distribution in a charged particle beam is developed. The beam may expand radially and axially as it propagates downstream. Charged particles placed randomly in the beam possess different potentials, which are converted to different kinetic energies as the beam propagates and expands. This randomness introduces energy spread in the beam. It is also shown that the shift of peak energy distribution in beam particles is proportional to the one-third power of the beam current, which is the manifestation of random particle locations. The theoretical predictions of the energy-distribution shift agree remarkably well with experimental data. © 1994 American Institute of Physics.
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    Physics of Plasmas 1 (1994), S. 3369-3377 
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    Notes: The effects of alpha particles on the internal kink and fishbone modes are studied analytically. The nonadiabatic contribution from untrapped alpha particles is negligible. Finite inverse aspect ratio, plasma β, and plasma shaping effects can significantly enhance the trapped particle drift reversal domain in the pitch angle space and reduce the bounce-averaged magnetic drift frequency. The decrease of the drift magnitude and drift reversal effects on the ideal kink mode is small, but the βα threshold for the fishbone mode can be much lower than previously predicted [B. Coppi, S. Migliuolo, F. Pegoraro, and F. Porcelli, Phys. Fluids B 2, 927 (1990)]. Moreover, the fishbone mode could be excited by alpha particles, even when the plasma is stable in the ideal magnetohydrodynamic (MHD) limit. In addition, the ion diamagnetic drift frequency (finite ion Larmor radius effect) has a strong destabilizing effect on the fishbone mode when it is comparable with the trapped alpha-averaged precessional drift frequency, even though it stabilizes the plasma in the ideal MHD limit.
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    Physics of Plasmas 1 (1994), S. 3414-3424 
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    Notes: In this paper it is shown that in ideal magnetohydrodynamics (IMHD) a two-dimensional equilibrium with an X-shaped neutral point (X-point) configuration reacts to small and smooth perturbations of the plasma pressure by the development of sheets with singular current density while the X-point structure is replaced by a different kind of configuration containing either cusp-like or T-shaped singularities. This behavior is demonstrated by computing the time dependent response to a suitable initial perturbation using a relaxation method within ideal MHD. The two-dimensional configurations considered in this paper are motivated by models of space plasma systems like, e.g. the Earth's magnetotail containing a distant X-point where perturbations caused by the solar wind may force the formation of current sheets and the subsequent occurrence of magnetic reconnection.
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    Physics of Plasmas 1 (1994), S. 3444-3454 
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    Topics: Physics
    Notes: The dynamics of long-conduction-time (τc∼1 μs) plasma opening switches (POS) is studied using magnetohydrodynamic (MHD) theory, including the Hall term. Plasma switches with initial electron densities of ne=1014–1016 cm−3 are modeled; these densities are appropriate to recent experiments carried out at the Naval Research Laboratory using the Hawk generator (800 kA, 1.2 μs). The conduction times obtained from the simulation studies are in the range τc(approximately-equal-to)0.4–2.0 μs. The POS plasma is strongly redistributed by the penetrating magnetic field. As the field penetrates, it pushes the plasma both axially and radially (i.e., toward the anode and cathode). In the higher-density regime (ne(approximately-greater-than)1015 cm−3), Hall effects do not play a significant role. The magnetic field acts as a snowplow, sweeping up and compressing the plasma as it propagates through the POS plasma. In the lower-density regime (ne〈1015 cm−3), Hall effects become important in two ways: the conduction time is less than that expected from ideal MHD, and the POS plasma becomes unstable as the magnetic field penetrates, leading to finger-like density structures. The instability is the unmagnetized ion Rayleigh–Taylor instability and is driven by the magnetic force accelerating the plasma. The structuring of the plasma further decreases the conduction time and causes the penetrating magnetic field to have a relatively broad front in comparison to EMHD simulations (i.e., Vi=0). The simulation results are consistent with experimental data for conduction currents 300–800 kA.
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3502-3504 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Multipole stability with respect to quasielectrostatic low frequency modes (frequencies smaller than the average ion bounce frequency) is revisited. Aside from localized modes found previously by M. N. Rosenbluth [Phys. Fluids 11, 869 (1968)], it is shown that convective type modes that are equipotentials along field lines are likely to be more unstable, when the average curvature drift is positive (v‘〈0) and smaller than the local curvature drift.
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  • 87
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3510-3511 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In Shoucri's Comment, he suggests that the off diagonal terms in the dielectric tensor, , Σxz, σyz can be as important as the elements included. We provide an answer to this question by considering a whistler wave propagating in an infinite, uniform plasma with wave number, κ=(κ(parallel), 0, δz). (AIP)
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  • 88
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 120-126 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The coupled nonlinear evolution of kinetic Alfvén turbulence (KAW) and anomalous alpha-particle transport is analyzed using a reduced turbulence model [Phys. Fluids B 4, 3152 (1992)]. Due to the nonlocal nature of the nonlinear interaction (bulk ion Compton scattering), the saturated spectrum consists of two well separated peaks, one in the linearly unstable and one in the stable regime. The two peaks represent the energy input from the alphas and energy dissipation to the electrons, respectively, and are in balance at saturation. Without a particle source, the turbulence-induced anomalous alpha transport leads to a flattening of the initial alpha density profile, on a time scale slow compared to the fluctuation time scale. In the presence of a particle source, a stationary alpha density profile is built up self-consistently as a result of the competition between the alpha-particle source and anomalous transport. The anomalous alpha diffusivity from the reduced model for KAW, using reactor size parameters, is found to be Danα ∼ 1 m2/s.
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  • 89
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 13-31 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A (2d,3v), electrostatic, collisionless kinetic slab model for a wide class of negative-bias dc states of the single-ended Q machine is developed. The self-consistent plasma state is found by means of an iterative scheme in which the charge-density and potential distributions are alternately advanced. The electron and ion velocity distribution functions are calculated via trajectory integration, which ensures high accuracy and resolution in both configuration and velocity spaces. As compared to similar previous schemes, this "trajectory-simulation'' method exhibits some modifications, significantly reducing computing time and enhancing numerical stability, so that it is also applicable to "long'' systems (≥102 Debye lengths). Macroscopic quantities as well as velocity distribution functions for two exemplary special cases are systematically presented. To the authors' knowledge, these results represent the most comprehensive and detailed kinetic analysis of any bounded plasma system given so far.
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  • 90
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 176-188 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A theoretical and computational investigation of an electron sheet beam propagating over a grating structure in a rectangular waveguide is carried out. Regimes for low voltage Cerenkov amplifier operation are sought by examining the complex dispersion relation for hybrid waveguide modes in the slow wave structure, which includes sheet beam space-charge effects. A computer code is developed to examine the complex dispersion relation and growth rates for the wave modes. Mode competition is considered and methods to reduce it are presented. Briggs' criteria is utilized to examine absolute and convective wave growth for the forward wave, backward wave, and transition mode regimes of operation as a function of the beam, hybrid mode, and slow wave grating characteristics. An examination of the effects of beam spread on absolute and convective wave growth to determine regimes for amplifier operation is carried out. A modest Maxwellian beam spread is found to yield a regime of effective backward convective amplification, in addition to the purely convective growth characteristics for the forward wave mode case.
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  • 91
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 202-204 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Energy confinement scalings for the thermal component of the plasma published thus far have a different dependence on plasma density and input power than do most scalings for the total plasma energy. With such thermal scalings, reactor performance (measured by the ignition margin MI , the ratio of the alpha power to the sum of the conducted and radiated losses) worsens with increasing density. The temperature dependence is significantly different as well and could lead to stable, ignited operation at temperatures lower than imagined with scalings based on the total plasma energy.
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  • 92
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 213-215 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Results are presented of a numerical investigation of the strongly nonlinear bifurcation properties of an isothermal current sheet model which has previously been investigated in the weakly nonlinear regime by analytical methods. With the method used, the linear stability of the bifurcating branch is also checked. The results have applications in the stability of plasma systems with current sheets, e.g., the Earth's magnetotail or solar coronal arcades.
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  • 93
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 70-75 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability of oblique modulation of ion-acoustic waves in a collisionless plasma consisting of two cold-ion species with different masses, concentrations, and charge states, and hot isothermal electrons is studied. Using the Krylov–Bogoliubov–Mitropolosky (KBM) perturbation technique, a nonlinear Schrödinger equation governing the slow modulation of the wave amplitude, is derived for the system. It is found that the presence of second-ion species significantly changes the instability domain in the k-φ plane. The effect of charge state, concentration, and mass of second-ion species on the modulational instability is discussed in detail. The predictions of the theory are found to be in good agreement with the experimental observations.
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  • 94
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 96-102 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The propagation of surface waves in a plasma with a diffuse boundary is considered. Three equations governing the evolution of the system are derived. If the excursion length of the electrons in the surface wave field is smaller than the width of the plasma–vacuum transition layer, it is found that typically the nonlinear density modifications in the boundary layer are more important than the previously investigated bulk nonlinearities.
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  • 95
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3676-3685 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Linear space charge perturbations of focused electron beams flowing between cylindrical and spherical electrodes on convergent or divergent trajectories are studied, and the amplification of high-frequency signals when the flow is modulated at one electrode is computed. It is shown that divergent beams give the largest amplification effect. The instability of electron beams drifting through grounded grids (Pierce instability in cylindrical or spherical diodes) is also considered. The instability threshold occurs at higher critical currents when the curvature of the electrodes is large. Results for planar electrodes are recovered in the limit of zero curvature devices. Spherical configurations have better signal amplification and stability properties than similar planar or cylindrical systems.
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  • 96
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3698-3708 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Departures from thermal (translational), ionization, and excitation equilibrium in an axisymmetric argon plasma jet have been studied by two-dimensional numerical simulations. Electrons, ions, and excited and ground states of neutral atoms are represented as separate chemical species in the mixture. Transitions between excited states, as well as ionization/recombination reactions due to both collisional and radiative processes, are treated as separate chemical reactions. Resonance radiation transport is represented using Holstein escape factors to simulate both the optically thin and optically thick limits. The optically thin calculation showed significant underpopulation of excited species in the upstream part of the jet core, whereas in the optically thick calculation this region remains close to local thermodynamic equilibrium, consistent with previous experimental observations. Resonance radiation absorption is therefore an important effect. The optically thick calculation results also show overpopulations (relative to equilibrium) of excited species and electron densities in the fringes and downstream part of the jet core. In these regions, however, the electrons and ions are essentially in partial local thermodynamic equilibrium with the excited state at the electron temperature, even though the ionized and excited states are no longer in equilibrium with the ground state. Departures from partial local thermodynamic equilibrium are observed in the outer fringes and far downstream part of the jet. These results are interpreted in terms of the local relative time scales for the various physical and chemical processes occurring in the plasma.
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  • 97
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3145-3147 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The phase bunching of a gyrating electron beam under the second harmonic operation reduces the starting current for the fundamental operation, in a submillimeter wave gyrotron. Such mode cooperation observed experimentally is shown and considered on the basis of the computer simulation results. The cooperation really reduces the starting current of the fundamental operation and increases total output power, which results in increasing the beam efficiency.
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  • 98
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    Physics of Plasmas 1 (1994), S. 3174-3180 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Transport coefficients and fluid equations in the limit of short mean free path are derived for a partially ionized plasma undergoing charge exchange, ionization, and recombination. The electron distribution is assumed to be unaffected by these processes and by collisions with neutral particles, and collisions among the neutrals are neglected. The calculated heat flux and viscosity contain terms purely related to charge exchange, and terms proportional to their usual counterparts in a completely ionized plasma with an additional proportionality factor equal to the inverse square of the fraction of ions in the plasma. The reason for this latter behavior is that charge exchange does not randomize particle trajectories, so that heavy particles suffer an "identity crisis'' by existing alternately as neutrals and ions. The use of a closer approximation to the charge-exchange cross section than previously employed gives rise to new terms in the neutral momentum and energy equations, representing the thermal force and the diffusion thermoeffect. The latter contributes significantly to the total heat flux in the plasma.
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  • 99
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3199-3210 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper the problem of kinetic coefficient calculations for a nonequilibrium mixture of chemically reacting ionized gases is investigated. The study is based on the generalized Chapman–Enskog method (GCEM) proposed by Alexeev [Theor. Exp. Chem. 5, 541 (1969)]. This work should be considered as a direct continuation of the paper [Phys. Rev. E 49, 2809 (1994)]. An effective method for the solution of the basic equation with non-self-adjoint operator (A equation) of the GCEM is developed for the case of reacting ionized gases and the calculation of the bracket expressions for elastic collisions of charged particles is given. Several concrete results of the kinetic coefficient calculations are discussed.
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  • 100
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3250-3261 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The low-frequency E×B turbulence driven by the shear in the mass flow velocity parallel to the magnetic field is studied using the fluid theory in a slab configuration with magnetic shear. Ion temperature gradient effects are taken into account. The eigenfunctions of the linear instability are asymmetric about the mode rational surfaces. Quasilinear Reynolds stress induced by such asymmetric fluctuations produces momentum and energy transport across the magnetic field. Analytic formulas for the parallel and perpendicular Reynolds stress, viscosity, and energy transport coefficients are given. Experimental observations of the parallel and poloidal plasma flows on the Texas Experimental Tokamak Upgrade (TEXT-U) are presented and compared with the theoretical models.
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