Energy principle for compressible dissipative magnetoplasma
Abstract
A formalism for a compressible magnetoplasma with viscosity and resistivity is outlined on the basis of a generalized energy principle. A generalized form of equation for a dissipative system is obtained, with the viscosity and resistivity represented by a coefficient matrix and the resistivity also rendering the otherwise ideal hydromagnetic coefficient matrix nondiagonal. An inner product over the solution space is defined, and magnetoviscosity is shown to be generally stabilizing, if the hydromagnetic coefficient matrix is selfadjoint. A stability criterion is derived which indicates that plasma compressibility is apparently also generally stabilizing and that terms in certain linear operators drive the resistive tearing and magnetic interchange instabilities, rippling, and gravitational interchange.
 Publication:

Australian Journal of Physics
 Pub Date:
 August 1978
 DOI:
 10.1071/PH780347
 Bibcode:
 1978AuJPh..31..347H
 Keywords:

 Compressible Fluids;
 Energy Dissipation;
 Energy Methods;
 Magnetohydrodynamic Stability;
 Linear Operators;
 Matrices (Mathematics);
 Plasma Conductivity;
 Viscous Fluids;
 Plasma Physics