Beyond ideal magnetohydrodynamics: resistive, reactive and relativistic plasmas
Beyond ideal magnetohydrodynamics: resistive, reactive and relativistic plasmas
We develop a new framework for the modelling of charged fluid dynamics in general relativity. The model, which builds on a recently developed variational multi-fluid framework for dissipative fluids, accounts for relevant effects like the inertia of both charge currents and heat and, for mature systems, the decoupling of superfluid components. We discuss how the model compares to standard relativistic magnetohydronamics and consider the connection between the fluid dynamics, the microphysics and the underlying equation of state. As illustrations of the formalism, we consider three distinct two-fluid models describing (i) an Ohm's law for resistive charged flows, (ii) a relativistic heat equation, and (iii) an equation representing the momentum of a decoupled superfluid component. As a more complex example, we also formulate a three-fluid model which demonstrates the thermo-electric effect. The new framework allows us to model neutron stars (and related systems) at a hierarchy of increasingly complex levels, and should enable us to make progress on a range of exciting problems in astrophysics and cosmology.
Andersson, N.
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Dionysopoulou, K.
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Hawke, I.
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Comer, G.L.
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Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Dionysopoulou, K.
f912d091-1725-4df3-9af5-0a0281c17b6c
Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N., Dionysopoulou, K., Hawke, I. and Comer, G.L.
(2017)
Beyond ideal magnetohydrodynamics: resistive, reactive and relativistic plasmas.
Classical and Quantum Gravity, 34 (12), [125002].
(doi:10.1088/1361-6382/aa6b3a).
Abstract
We develop a new framework for the modelling of charged fluid dynamics in general relativity. The model, which builds on a recently developed variational multi-fluid framework for dissipative fluids, accounts for relevant effects like the inertia of both charge currents and heat and, for mature systems, the decoupling of superfluid components. We discuss how the model compares to standard relativistic magnetohydronamics and consider the connection between the fluid dynamics, the microphysics and the underlying equation of state. As illustrations of the formalism, we consider three distinct two-fluid models describing (i) an Ohm's law for resistive charged flows, (ii) a relativistic heat equation, and (iii) an equation representing the momentum of a decoupled superfluid component. As a more complex example, we also formulate a three-fluid model which demonstrates the thermo-electric effect. The new framework allows us to model neutron stars (and related systems) at a hierarchy of increasingly complex levels, and should enable us to make progress on a range of exciting problems in astrophysics and cosmology.
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Accepted/In Press date: 4 April 2017
e-pub ahead of print date: 22 May 2017
Organisations:
Mathematical Sciences, Applied Mathematics
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Local EPrints ID: 410917
URI: http://eprints.soton.ac.uk/id/eprint/410917
ISSN: 0264-9381
PURE UUID: bf3a274a-82b0-4144-b71a-c2ed297d7652
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Date deposited: 09 Jun 2017 16:31
Last modified: 16 Mar 2024 05:22
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Author:
K. Dionysopoulou
Author:
G.L. Comer
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