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Nonlinear waves and shocks in relativistic two-fluid hydrodynamics

Abstract : Relativistic shocks are present in a number of objects where violent processes are accompanied by relativistic outflows of plasma. The magnetization parameter sigma = B-2/4 pi nmc(2) of the ambient medium varies in wide range. Shocks with low sigma 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 sigma << 1 and the magnetic field reaches nearly equipartition values when the magnetic energy density is of the order of the ion energy density, B-eq(2) similar to 4 pi nm(i)c(2)gamma. A large cross-shock potential e phi/m(i)c(2)gamma(0) similar to B-2/B-eq(2) develops across the electron-ion shock front. This potential is responsible for electron energization.
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https://hal-insu.archives-ouvertes.fr/insu-02515003
Contributor : Nathalie Pothier <>
Submitted on : Monday, March 23, 2020 - 11:00:23 AM
Last modification on : Wednesday, September 23, 2020 - 4:39:53 AM

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L. Haim, M. Gedalin, A. Spitkovsky, V. Krasnoselskikh, M. Balikhin. Nonlinear waves and shocks in relativistic two-fluid hydrodynamics. Journal of Plasma Physics, Cambridge University Press (CUP), 2012, 78 (3), pp.295-302. ⟨10.1017/S002237781200013X⟩. ⟨insu-02515003⟩

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