Combining Rankine-Hugoniot relations, ion dynamics in the shock front, and the cross-shock potential

Research output: Contribution to journalArticlepeer-review

Abstract

Rankine-Hugoniot relations (RH) connect the upstream and downstream plasma states. They allow us to determine the magnetic compression, the density compression, and the plasma heating as functions of the Mach number, shock angle, and upstream temperature. RH are based on the conservation laws in the hydrodynamical form. In collisionless shocks, the ion distributions behind the shock transition are determined by ion dynamics in the macroscopic fields of the shock front. The ion parameters upon crossing the shock are directly related to the magnetic compression and the cross-shock potential. For given upstream parameters, RH provide the magnetic compression. If there is no substantial overshoot, an analytical estimate provides the cross-shock potential as a function of the magnetic compression and the Mach number. Numerical tracing of ions across a shock profile with the derived parameters provides the ion pressure, which is in good agreement with the combination of the two theoretical approaches.

Original languageAmerican English
Article number112904
JournalPhysics of Plasmas
Volume29
Issue number11
DOIs
StatePublished - 1 Nov 2022

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Combining Rankine-Hugoniot relations, ion dynamics in the shock front, and the cross-shock potential'. Together they form a unique fingerprint.

Cite this