Dependence of the MHD shock thickness on the finite electrical conductivity

Details Dependence of the MHD shock thickness on the finite electrical conductivity Dependence of the MHD shock thickness on the finite electrical conductivity

2003-12-27

arxiv.org/abs/physics/0312146v1

Physics

Plasma Physics

8 pages, uses standard revtex, to appear in Journal of Plasma Physics

Scientific paper

10.1017/S0022377803002630

The results of MHD plane shock waves with infinite electrical conductivity are generalized for a plasma with a finite conductivity. We derive the adiabatic curves that describe the evolution of the shocked gas as well as the change in the entropy density. For a parallel shock (i.e., in which the magnetic field is parallel to the normal to the shock front) we find an expression for the shock thickness which is a function of the ambient magnetic field and of the finite electrical conductivity of the plasma. We give numerical estimates of the physical parameters for which the shock thickness is of the order of, or greater than, the mean free path of the plasma particles in a strongly magnetized plasma.

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