Sausage-Shaped Instability in Semiconductor Plasma. : I. Theory

概要

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The stability of a linearly pinched cylindrical plasma is investigated in the absence of an external magnetic field. The theory is based on the magnetohydrodynamic equations of motion and the particle conservation combined with Maxwell's equations. The dispersion relation of the instability and the explicit dependence of the wave parameters on the field are obtained by linearizing the equations for axially symmetrical harmonic perturbation. Numerical results on the threshold show that the axial current required to cause the instability is inversely proportional to the electric field, and that the oscillation frequency increases linearly with the electric field while the wave number remains approximately constant. The spatial growth rate and the phase velocity of the instability are also obtained as a function of the field strength.
社団法人応用物理学会の論文
1975-02-05