Extended Rankine-Hugoniot relations for collisionless shocks

Details Extended Rankine-Hugoniot relations for collisionless shocks Extended Rankine-Hugoniot relations for collisionless shocks

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jgr....83.1395s&link_type=abstract

Journal of Geophysical Research, vol. 83, Apr. 1, 1978, p. 1395-1400.

Physics

6

Collisionless Plasmas, Rankine-Hugoniot Relation, Shock Wave Propagation, Closure Law, Electron Energy, Hydrodynamic Equations, Ion Temperature, Mach Number, Plasma Heating, Two Fluid Models

Scientific paper

The hydromagnetic Rankine-Hugoniot relations are extended to allow for separate ion and electron temperatures and arbitrary degrees of freedom for ion and electron heating; when the degrees of freedom are unequal, this comprises an unclosed set of equations. The system is reduced to one equation in two unknowns containing the usual one-fluid model as a special case. Closure is achieved by means of empirical arguments for both subcritical and large Mach number shocks, and a general parametric solution is also presented. Analytic expressions for the fluid and field jumps are obtained and compared with various experimental observations.

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