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  • American Institute of Physics (AIP)  (19)
  • 11
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 9 (2002), S. 2277-2286 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model for the deceleration phase and marginal ignition of imploding capsules is derived by solving a set of ordinary differential equations describing the hot-spot energy balance and the shell dynamics including the return shock propagation. It is found that heat flux leaving the hot spot goes back in the form of internal energy and PdV work of the material ablated off the inner-shell surface. Though the hot-spot temperature is reduced by the heat conduction losses, the hot-spot density increases due to the ablated material in such a way that the hot-spot pressure is approximately independent of heat conduction. For hot-spot temperatures exceeding approximately 7 keV, the ignition conditions are not affected by heat conduction losses that are recycled into the hot spot by ablation. Instead, the only significant internal energy loss is due to the hot-spot expansion tamped by the surrounding shell. The change of adiabat induced by the shock is also calculated for marginally igniting shells, and the relation between the in-flight and stagnation adiabats is in general agreement with the numerical fit of LASNEX simulations by Herrmann et al. [Nucl. Fusion 41, 99 (2001)] and the self-similar solution of Kemp et al. [Phys. Rev. Lett. 15, 3336 (2001)]. The minimum kinetic energy required for ignition is also calculated from the same model and shown to be in good agreement with the numerical fit of LASNEX simulations. It is also found that mass ablation leads to a significant reduction of the deceleration phase Rayleigh–Taylor instability growth rates and to the suppression of short wavelength modes. © 2002 American Institute of Physics.
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  • 12
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 1446-1454 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple procedure is developed to determine the Froude number Fr, the effective power index for thermal conduction ν, the ablation-front thickness L0, the ablation velocity Va, and the acceleration g of laser-accelerated ablation fronts. These parameters are determined by fitting the density and pressure profiles obtained from one-dimensional numerical simulations with the analytic isobaric profiles of Kull and Anisimov [Phys. Fluids 29, 2067 (1986)]. These quantities are then used to calculate the growth rate of the ablative Rayleigh–Taylor instability using the theory developed by Goncharov et al. [Phys. Plasmas 3, 4665 (1996)]. The complicated expression of the growth rate (valid for arbitrary Froude numbers) derived by Goncharov et al. is simplified by using reasonably accurate fitting formulas. © 1998 American Institute of Physics.
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  • 13
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4665-4676 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linear growth rate of the Rayleigh–Taylor instability is calculated for accelerated ablation fronts with small Froude numbers (Fr(very-much-less-than)1). The derivation is carried out self-consistently by including the effects of finite thermal conductivity (κ∼Tν) and density gradient scale length (L). It is shown that long-wavelength modes with wave numbers kL0(very-much-less-than)1 [L0=νν/(ν+1)ν+1 min(L)] have a growth rate γ(approximately-equal-to)(square root of)ATkg−βkVa, where Va is the ablation velocity, g is the acceleration, AT=1+O[(kL0)1/ν], and 1〈β(ν)〈2. Short-wavelength modes are stabilized by ablative convection, finite density gradient, and thermal smoothing. The growth rate is γ=(square root of)αg/L0+c20k4L20V2a−c0k2L0Va for 1(very-much-less-than)kL0(very-much-less-than)Fr−1/3, and γ=c1g/(Vak2L20)−c2kVa for the wave numbers near the cutoff kc. The parameters α and c0−2 mainly depend on the power index ν; and the cutoff kc of the unstable spectrum occurs for kcL0∼Fr−1/3(very-much-greater-than)1. Furthermore, an asymptotic formula reproducing the growth rate at small and large Froude numbers is derived and compared with numerical results. © 1996 American Institute of Physics.
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  • 14
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 4596-4605 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The angular dependence of stimulated Brillouin scattering (SBS) in a finite homogeneous plasma is studied. For parameters typical of inertial confinement fusion experiments, the initial evolution of SBS is well approximated by a one-dimensional model. In the context of this linear model, the threshold intensity of the absolute instability and the steady-state spatial growth rate of the convective instability are both independent of the scattering angle. However, the saturation time of the convective instability exhibits a strong inverse dependence on the scattering angle: Forward SBS always occurs in the transient regime and the intensity of the scattered light is less than that predicted by a steady-state analysis. In particular, no light is emitted in the propagation direction of the incident wave. © 1995 American Institute of Physics.
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  • 15
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1465-1474 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A stability analysis is carried out for energetic particle-Alfvén gap modes. Three modes have been identified: the toroidicity, ellipticity, and noncircular triangularity induced Alfvén eigenmodes (TAE, EAE, and NAE). In highly elongated plasma cross sections with κ−1∼1, the EAE may be a more robust mode than the TAE and NAE. It is found that electron Landau damping in highly elongated plasmas has a strong stabilizing influence on the n=1 EAE, while ion Landau damping stabilizes the n=1 TAE in high-density regimes. Furthermore, the NAE turns out to be stable for all currently proposed ignition experiments. The stability analysis of a typical burning plasma device, Burning Plasma Experiment (BPX) [Phys. Scr. T16, 89 (1987)] shows that n〉1 gap modes can pose a serious threat to the achievement of ignition conditions.
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  • 16
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 538-544 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A stability criterion is derived for energetic particle-Alfvén modes. The criterion is valid for arbitrary aspect ratio, arbitrary β, noncircular, axisymmetric tori. The plasma is modeled by a magnetohydrodynamic (MHD) core plus a fully kinetic Vlasov species of hot particles. Electron kinetic effects are neglected. In spite of the complexity associated with the analysis of the Vlasov species, a simple but exact stability boundary is derived. The criterion is very fluidlike in nature, suggesting that accurate evaluation in realistic geometries can be accomplished with perhaps only minor modifications to any one of the existing ideal MHD stability codes.
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  • 17
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 1865-1870 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that noncircularity of tokamak flux surfaces leads to frequency gaps in the magnetohydrodynamic Alfvén continuum. Within these gaps discrete modes having macroscopic structure are shown to exist and have many common features with toroidicity induced Alfvén eigenmodes. The present work focuses on ellipticity. Since κ−1〉ε in many tokamaks the ellipticity induced Alfvén eigenmode may indeed be a more robust mode. The most global mode couples the m=1, n=1 and m=3, n=1 "cylindrical'' eigenmodes. The region of strong coupling occurs at the q(r)=2 surface and the width of the coupling region is finite and of order (κ−1)a. Furthermore, for typical limiter q(r) profiles satisfying 1(approximately-less-than)q(approximately-less-than)3, the dominant mode harmonics do not intersect the continuum Alfvén spectrum.
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  • 18
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1565-1573 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Quasianalytic formulas are calculated for the elongation κ and triangularity δ of the plasma surface of a free-boundary tokamak equilibrium. The final results give κ and δ as functions of five quantities: the inverse aspect ratio ε, the poloidal beta βp, the internal inductance li, and the quadrupole and hexapole moments of the externally applied field. The agreement with numerically computed equilibria is found to be quite good when A≥3, κ≤1.5, and δ≤0.2 and when the plasma is limited by the vacuum vessel wall and not diverted by the presence of a separatrix on the plasma surface.
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  • 19
    Publication Date: 2015-02-13
    Description: Pressure, by definition, characterizes the conditions within an isobaric implosion core at peak compression [Gus'kov et al. , Nucl. Fusion 16 , 957 (1976); Betti et al. , Phys. Plasmas 8 , 5257 (2001)] and is a key parameter in quantifying its near-ignition performance [Lawson, Proc. Phys. Soc. London, B 70 , 6 (1957); Betti et al. , Phys. Plasmas 17 , 058102 (2010); Goncharov et al. , Phys. Plasmas 21 , 056315 (2014); and Glenzer et al ., Phys. Plasmas 19 , 056318 (2012)]. At high spectral energy, where the x-ray emission from an imploded hydrogen core is optically thin, the emissivity profile can be inferred from the spatially resolved core emission. This emissivity, which can be modeled accurately under hot-core conditions, is dependent almost entirely on the pressure when measured within a restricted spectral range matched to the temperature range anticipated for the emitting volume. In this way, the hot core pressure at the time of peak emission can be inferred from the measured free-free emissivity profile. The pressure and temperature dependences of the x-ray emissivity and the neutron-production rate explain a simple scaling of the total filtered x-ray emission as a constant power of the total neutron yield for implosions of targets of similar design over a broad range of shell implosion isentropes. This scaling behavior has been seen in implosion simulations and is confirmed by measurements of high-isentrope implosions [Sangster et al. , Phys. Plasmas 20 , 056317 (2013)] on the OMEGA laser system [Boehly et al. , Opt. Commun. 133 , 495 (1997)]. Attributing the excess emission from less-stable, low-isentrope implosions, above the level expected from this neutron-yield scaling, to the higher emissivity of shell carbon mixed into the implosion's central hot spot, the hot-spot “fuel–shell” mix mass can be inferred.
    Print ISSN: 1070-664X
    Electronic ISSN: 1089-7674
    Topics: Physics
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