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  • 1
    Electronic Resource
    Electronic Resource
    Vlasov description of implosion heating (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3636-3643 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical treatment of plasma heating by a fast compression of a solenoidal field is given. An annular cylindrical plasma with a radius of 1 m is considered for the initial state, since this optimizes the nonadiabatic heating. The theory predicts that a 0.13 μs compression with 3 MV circuit voltage can give as much as 200 keV mean ion kinetic energy. The plasma beta increases by a factor of 100 in the compression. With the voltage decreased to 1 MV and a 0.36 μs compression time, the calculated mean ion kinetic energy is 60 keV. The calculated number of ions per unit length that gives tolerable magnetic shielding is 4×1017 m−1. Some practical concerns such as endplate construction, control of plasma beta, electric insulation, and transportation of the compressed plasma along a tube are briefly analyzed. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.871956
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  • 2
    Electronic Resource
    Electronic Resource
    Vlasov solution describing nonadiabatic plasma heating by magnetic compression (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 2187-2200 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical Vlasov description of a fast magnetic compression is developed with use of the Lewis invariant for the time-dependent harmonic oscillator. Simple formulas for the nonadiabatic heating of an initial rigid rotor Maxwellian distribution are derived, providing a low β kinetic description of the oscillatory state after compression. The role of diamagnetic shielding and orbit stochasticity to relax the oscillations in the plasma after compression is considered. In addition to the adiabatic heating (which is equal to the field ratio B1/B0), a much stronger heating, proportional to (B1/B0)2, can be obtained in a nonturbulent fast compression. The ultimate need to use low initial β to achieve strong nonadiabatic heating and avoid turbulent development of instabilities follows from a formula describing the increase in β during the implosion. An evolution profile for B(t) with a constant nonadiabaticity parameter is considered for optimization of compression time (of order 5–10 μsec) and nonadiabatic heating. The radial extension of the compressed plasma is calculated. Space charge effects can arise from the differential radial motions of electrons and ions in a nonadiabatic compression, which can have important consequences. In straight devices, space charge can be removed by letting magnetic field lines connect to a conducting plate. Special attention is paid to the possibility of creating a "Migma pinch'' with self-colliding orbits in the MeV range. The model indicates that this high energy can be reached in a compression with large field ratio, i.e., B1/B0∼103. The derived diamagnetic shielding limit, which corresponds to a compressed beta value below which shielding of the induction field can be ignored, gives a particle number per unit length of about 1017 m−1 for the Migma case. This number exceeds by several orders of magnitude the particle number achieved in the Migma IV experiment by a different beam trapping technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860753
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    Paper (German National Licenses)
    Fulltext
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