Density jump as a function of the field for parallel relativistic collisionless shocks

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Hauptverfasser: Bret, Antoine, Narayan, Ramesh
Format: Preprint
Veröffentlicht: 2025
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author Bret, Antoine
Narayan, Ramesh
author_facet Bret, Antoine
Narayan, Ramesh
contents Collisionless shocks are frequently analyzed using the magnetohydrodynamic formalism (MHD), even though the required collisionality hypothesis is not fulfilled. In a previous work \citep{BretJPP2018}, we presented a model of collisionless shock displaying an important departure from the expected MHD behavior, in the case of a strong flow aligned magnetic field. This model was non-relativistic. Here, it is extended to the relativistic regime, considering zero upstream pressure and upstream Lorentz factor $\gg 1$. The result agrees satisfactorily with Particle-in-Cell simulations and shows a similar, and important, departure from the MHD prediction. In the strong field regime, the density jump $r$, seen in the downstream frame, behaves like $r \sim 2 + 1/γ_{\mathrm{up}}$ while MHD predicts 4 ($γ_{\mathrm{up}}$ is the Lorentz factor of the upstream measured in the downstream frame). Only pair plasmas are considered.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07973
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Density jump as a function of the field for parallel relativistic collisionless shocks
Bret, Antoine
Narayan, Ramesh
Plasma Physics
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
Collisionless shocks are frequently analyzed using the magnetohydrodynamic formalism (MHD), even though the required collisionality hypothesis is not fulfilled. In a previous work \citep{BretJPP2018}, we presented a model of collisionless shock displaying an important departure from the expected MHD behavior, in the case of a strong flow aligned magnetic field. This model was non-relativistic. Here, it is extended to the relativistic regime, considering zero upstream pressure and upstream Lorentz factor $\gg 1$. The result agrees satisfactorily with Particle-in-Cell simulations and shows a similar, and important, departure from the MHD prediction. In the strong field regime, the density jump $r$, seen in the downstream frame, behaves like $r \sim 2 + 1/γ_{\mathrm{up}}$ while MHD predicts 4 ($γ_{\mathrm{up}}$ is the Lorentz factor of the upstream measured in the downstream frame). Only pair plasmas are considered.
title Density jump as a function of the field for parallel relativistic collisionless shocks
topic Plasma Physics
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2506.07973