On the stability of the screw pinch in the CGL model†
Abstract
We have investigated the stability of the screw pinch with the help of the double adiabatic (CGL) equations including the finite Larmor radius effects through the anisotropic pressure tensor. The calculations are approximate, with FLR treated as a firstorder correction to the ideal plasma equations. The dispersion relation has been solved for various values of R_{2} = p/p and α for the rale and imaginary part of the frequency (ω = ω_{R} ± iω_{I}) in three particular cases: (a) μ = 0, the θpinch, (b) μ = ∞, the Zpinch, (c) μ = α/m, field distubances parallel to the equilibrium field. Here μ is the pitch of the magnetic field in the pressureless plasma surrounding the main column, α is the wave number, m is the azimuthal number, p and p are plasma pressures along and perpendicular to the magnetic field.
 Publication:

Journal of Plasma Physics
 Pub Date:
 December 1976
 DOI:
 10.1017/S0022377800020201
 Bibcode:
 1976JPlPh..16..261S
 Keywords:

 Larmor Precession;
 Magnetohydrodynamic Stability;
 Plasma Cylinders;
 Plasma Pinch;
 Adiabatic Equations;
 Linear Equations;
 Magnetic Fields;
 Perturbation Theory;
 Rarefied Plasmas;
 Plasma Physics