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  • 1985-1989  (6)
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Material
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Year
  • 1
    Electronic Resource
    Electronic Resource
    "Moderate-m'' ballooning modes in quadrapole stabilized tandem mirrors (1988)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 1988-1998 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The beta limits on the central cells of nonaxisymmetric tandem mirrors due to moderate-m ballooning modes are studied. Both finite Larmor radius (FLR) effects and corrections associated with the finite extent of the ballooning modes in the plane perpendicular to B are retained. The assumption of short perpendicular wavelength together with the large ellipticity of the flux surfaces near the magnetohydrodynamic (MHD) anchor cells allows a reduction of the three-dimensional problem into a sequence of three one-dimensional problems. The marginal stable boundary for the Mirror Fusion Test Facility (MFTF-B) (National Technical Information Service Document Nos. 82020108 and UCID-19359) is calculated and compared with that obtained from a low mode number calculation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866646
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Resistive effects on the rigid mode ballooning instability (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1416-1428 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: From a set of fluid equations, a second-order differential equation, governing the resistive ballooning instability for a mirror confined plasma with a rigid perturbation, is obtained. The resistive effects on the rigid mode ballooning instability are numerically examined for three tandem mirror configurations; those stabilized by walls, by end cusps, and by end quadrupoles. In the model the pressure is taken to be isotropic and constant along the axis except in the cusps and the diverging field regions, and the plasma has a sharp boundary. The theoretical results indicate that the resistivity can play a major role in determining the growth rate for ballooning for lower temperature devices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866255
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Dissipative trapped particle modes in tandem mirrors (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2824-2837 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Dissipative trapped particle modes are studied in tandem mirrors by including electron collisions and ion Landau damping. A variational approach is used to obtain a collisional response in terms of the collisionless result plus a collisional term. The collisional term is then self-consistently solved in all collision frequency regimes. When ν/ω(very-much-less-than)1 (ν≡electron collision frequency) and the dissipationless mode is stable through a positive (negative) charge uncovering mechanism, there are two stable waves with phase velocities in the ion (electron) diamagnetic direction. The higher frequency wave with ω∼ω@B|i(ω*e) is destabilized by ion (electron) dissipation while the lower frequency wave is destabilized by electron (ion) dissipation. At high collision frequency (ν〉ω@B|e), the only unstable trapped particle wave has ω∼ω*e, with electron collisions being destabilizing.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865202
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Simulation of the ion-beam-driven drift instability in a magnetic trap. II (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2248-2257 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Recent experiments on the TMX-U device at the Lawrence Livermore National Laboratory have indicated the possibility of a low-frequency (ω(very-much-less-than)Ωci) drift wave being driven unstable by the injection of neutral beams in the thermal barrier region. Nonlocal linear theory is performed for this instability using slab geometry and the electrostatic approximation. Particle simulations are used to verify the linear theory and to recover relevant nonlinear phenomena. Important nonlinear effects include: (1) E×B trapping (2) relaxation of the beam density profiles, and (3) weakly nonlinear electrons (eδφ/Te ≈0.1). These nonlocal simulations are compared with previous simulations of Ref. 1 [Phys. Fluids 28, 2235 (1985)] which used a local approximation for the particle simulations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865277
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Tandem-mirror trapped-particle modes at arbitrary collisionality (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 1578-1586 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Tandem-mirror trapped-particle modes are studied in a model system consisting of two connected square wells representing the solenoid and the end cells. Collisions are described by a Lorentz operator. A dispersion relation that is valid for arbitrary ν/ω (ω=wave frequency, ν=collision frequency) is derived. Four limits are investigated. When ε≡νRam/ω (very-much-less-than)1+pi/pe, where Ram is the mirror ratio separating electrons trapped in the anchor from those passing to the solenoid and pe and pi are the fractions of passing electrons and ions, collisions destabilize a trapped-particle mode that is stable in the collisionless limit; the growth rate is proportional to ε1/2 for ε(very-much-less-than)1 and ε/ln ε for 1+pi/pe (very-much-greater-than)ε(very-much-greater-than)1. When ε (very-much-greater-than)1+pi/pe, the trapped-particle mode becomes a weakly growing drift wave with growth rate proportional to ε−1 ln ε for ν/ω(very-much-less-than)1 and ν−1 for ν/ω(very-much-greater-than)1; additionally identified are two flute modes, one of which is unstable for some parameters, and a strongly damped high-frequency mode.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865674
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Simulation of the ion-beam-driven drift instability in a magnetic trap. I (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2235-2247 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Recent experiments on the TMX-U device, at the Lawrence Livermore National Laboratory have indicated the possibility of a drift wave being driven unstable by the injection of neutral beams in the thermal barrier region. A review of linear theory is presented in the local approximation. In addition, particle simulations are used to understand the nonlinear characteristics of this instability. The particle simulations are performed using 1d-3v and 2d-3v electrostatic particle simulation codes. The instability is shown to saturate by beam trapping, nonlinear electron effects, and nonlinear motion parallel to the density gradient. Resonant E×B motion is a significant process for some of the beam particles. This process is closely associated with the trapping of beam ions. Harmonic generation is also observed, as appears in some of the experimental data. Qualitative nonlinear theory is presented in support of the particle simulations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865276
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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