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Time reversal duality of magnetohydrodynamic shocks

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Abstract

The shock conditions in magnetohydrodynamics (MHD) are reduced to their most concise, three-parameter, distilled form by consistent use of the scale independence of the MHD equations and of the de Hoffmann-Teller transformation. They then exhibit a distinct time reversal duality between entropy-allowed shocks and entropy-forbidden jumps. This yields a new classification of MHD shocks by means of the monotonicity properties with respect to upstream and downstream Alfven Mach numbers, it exhibits the central role of intermediate discontinuities, and permits straightforward construction of all relevant dimensionless quantities of the shocks. An exhaustive overview is presented of solutions in the different parameter regimes. (c) 2008 American Institute of Physics.

Year of Publication
2008
Journal
Physics of Plasmas
Volume
15
Number
6
Number of Pages
19
Date Published
Jun
Type of Article
Article
ISBN Number
1070-664X
Accession Number
ISI:000257283900002
URL
PId
bf065c7c3b54bc02c8122bfb772ed5d7
Alternate Journal
Phys. Plasmas
Journal Article
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