A linearized three-component magnetohydrodynamic theory is given. The three components are two oppositely charged species and a neutral species. Linearized macroscopic equations are presented which, in the limit of vanishing magnetic field, reduce to fluid-dynamic equations, and in the limit of vanishing neutral component give the Lundquist equations. The coupling of the components is frictional. In addition, the sound speed that enters is a function of the three equilibrium densities. These equations yield a dispersion relation which is tenth order in the wave speed (ω/k). The decay frequencies [i.e., —Im (ω)] of all ten modes are calculated to first-order terms in the friction, and are found to be all isotropic. In addition, all of the modes are stable.
No takes yet. Share an insight, caveat, or question.
Richard L. Liboff (1963) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: