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Resistive relativistic magnetohydrodynamics from a charged multifluids perspective

Resistive relativistic magnetohydrodynamics from a charged multifluids perspective
Resistive relativistic magnetohydrodynamics from a charged multifluids perspective
We consider general relativistic magnetohydrodynamics from a charged multifluids point of view, taking a variational approach as our starting point. We develop the case of two charged components in detail, accounting for a phenomenological resistivity, providing specific examples for pair plasmas and proton-electron systems. We discuss both cold, low-velocity, plasmas and hot systems where we account for a dynamical entropy component. The results for the cold case (which accord with recent work in the literature) provide a complete model for resistive relativistic magnetohydrodynamics, clarifying the assumptions that lead to various models that have been used in astrophysical applications. The analysis of the hot case is (as far as we are aware) novel, accounting for the relaxation times that are required to ensure causality and demonstrating the explicit coupling between fluxes of heat and charge
1550-7998
043002-[19pp]
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Andersson, N. (2012) Resistive relativistic magnetohydrodynamics from a charged multifluids perspective. Physical Review D, 86 (4), 043002-[19pp]. (doi:10.1103/PhysRevD.86.043002).

Record type: Article

Abstract

We consider general relativistic magnetohydrodynamics from a charged multifluids point of view, taking a variational approach as our starting point. We develop the case of two charged components in detail, accounting for a phenomenological resistivity, providing specific examples for pair plasmas and proton-electron systems. We discuss both cold, low-velocity, plasmas and hot systems where we account for a dynamical entropy component. The results for the cold case (which accord with recent work in the literature) provide a complete model for resistive relativistic magnetohydrodynamics, clarifying the assumptions that lead to various models that have been used in astrophysical applications. The analysis of the hot case is (as far as we are aware) novel, accounting for the relaxation times that are required to ensure causality and demonstrating the explicit coupling between fluxes of heat and charge

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Published date: August 2012
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 342540
URI: https://eprints.soton.ac.uk/id/eprint/342540
ISSN: 1550-7998
PURE UUID: dfb6de58-cc24-4167-9c2d-51ad127661df
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 06 Sep 2012 08:14
Last modified: 20 Jul 2019 01:11

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Author: N. Andersson ORCID iD

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