Magnetohydrodynamics of Shock Waves with Reflected Particles: Rankine Hugoniot Relations

Details Magnetohydrodynamics of Shock Waves with Reflected Particles: Rankine Hugoniot Relations Magnetohydrodynamics of Shock Waves with Reflected Particles: Rankine Hugoniot Relations

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmsh53a1246d&link_type=abstract

American Geophysical Union, Fall Meeting 2005, abstract #SH53A-1246

Physics

4455 Nonlinear Waves, Shock Waves, Solitons (0689, 2487, 3280, 3285, 4275, 6934, 7851, 7811 Discontinuities (2109), 7851 Shock Waves (4455)

Scientific paper

It is well-known that ion reflection at the transition layer by the cross-shock potential provides the fundamental dissipation mechanism for a quasi-perpendicular shock. Pickup ions (PUI) can be significantly energized by the multiple reflection (MRI) mechanism, which can resolve the injection problem for the anomalous cosmic rays Zank et al.,[1996]; Lee et al., [1996]. In this work we investigate the role of reflected ions in modifying the Rankine-Hugoniot (RH) jump conditions in a simple one-fluid MHD formalism. Complexity involved by the injection of the reflected particles in the upstream shock flow renders the classical thermodynamic method ineffective thus necessitating the use of geometric entropy condition introduced by Lax (1973). Some important outcomes of these modified RH conditions, like non-coplanarity of the upstream and downstream magnetic field with the shock normal, modification of fast and slow mode propagation etc, are discussed. Furthermore, it is shown that for a large range of the parameter regime a smooth transition from an upstream to a downstream state does not exist.

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