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Nonlinear waves and shocks in relativistic two-fluid hydrodynamics

Published online by Cambridge University Press:  10 February 2012

L. HAIM ,
M. GEDALIN ,
A. SPITKOVSKY ,
V. KRASNOSELSKIKH  and
M. BALIKHIN
L. HAIM
Affiliation:
Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel (gedalin@bgu.ac.il)
M. GEDALIN
Affiliation:
Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel (gedalin@bgu.ac.il)
A. SPITKOVSKY
Affiliation:
Princeton University, Princeton, NJ, USA
V. KRASNOSELSKIKH
Affiliation:
LPCE/CNRS, Orleans, France
M. BALIKHIN
Affiliation:
ACSE, University of Sheffield, Sheffield, UK
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Abstract

Relativistic shocks are present in a number of objects where violent processes are accompanied by relativistic outflows of plasma. The magnetization parameter σ = B2/4πnmc2 of the ambient medium varies in wide range. Shocks with low σ are expected to substantially enhance the magnetic fields in the shock front. In non-relativistic shocks the magnetic compression is limited by nonlinear effects related to the deceleration of flow. Two-fluid analysis of perpendicular relativistic shocks shows that the nonlinearities are suppressed for σ≪1 and the magnetic field reaches nearly equipartition values when the magnetic energy density is of the order of the ion energy density, Beq2 ~ 4πnmic2γ. A large cross-shock potential eφ/mic2γ0 ~ B2/Beq2 develops across the electron–ion shock front. This potential is responsible for electron energization.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 3 , June 2012 , pp. 295 - 302
Copyright
Copyright © Cambridge University Press 2012

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