Transport coefficients of a relativistic plasma

In this work, a self-consistent transport theory for a relativistic plasma is developed. Using the notation of Braginskii [S. I. Braginskii, in Reviews of Plasma Physics, ed. M. A. Leontovich (1965), Vol. 1, p.174], we provide semi-analytical forms of the electrical resistivity, thermoelectric and t...

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Үндсэн зохиолчид: Rose, S, Pike, O
Формат: Journal article
Хэвлэсэн: American Physical Society 2016
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author Rose, S
Pike, O
author_facet Rose, S
Pike, O
author_sort Rose, S
collection OXFORD
description In this work, a self-consistent transport theory for a relativistic plasma is developed. Using the notation of Braginskii [S. I. Braginskii, in Reviews of Plasma Physics, ed. M. A. Leontovich (1965), Vol. 1, p.174], we provide semi-analytical forms of the electrical resistivity, thermoelectric and thermal conductivity tensors for a Lorentzian plasma in a magnetic field. This treatment is then generalized to plasmas with arbitrary atomic number by numerically solving the linearized Boltzmann equation. The corresponding transport coefficients are fitted by rational functions in order to make them suitable for use in radiation-hydrodynamic simulations and transport calculations. Within the confines of linear transport theory and on the assumption that the plasma is optically thin, our results are valid for temperatures up to a few MeV. By contrast, classical transport theory begins to incur significant errors above kBT ~ 10 keV, e.g., the parallel thermal conductivity is suppressed by 15% at kBT = 20 keV due to relativistic effects
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spelling oxford-uuid:17b357c2-7b88-4639-806e-7a5b244670e02022-03-26T10:38:56ZTransport coefficients of a relativistic plasmaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:17b357c2-7b88-4639-806e-7a5b244670e0Symplectic Elements at OxfordAmerican Physical Society2016Rose, SPike, OIn this work, a self-consistent transport theory for a relativistic plasma is developed. Using the notation of Braginskii [S. I. Braginskii, in Reviews of Plasma Physics, ed. M. A. Leontovich (1965), Vol. 1, p.174], we provide semi-analytical forms of the electrical resistivity, thermoelectric and thermal conductivity tensors for a Lorentzian plasma in a magnetic field. This treatment is then generalized to plasmas with arbitrary atomic number by numerically solving the linearized Boltzmann equation. The corresponding transport coefficients are fitted by rational functions in order to make them suitable for use in radiation-hydrodynamic simulations and transport calculations. Within the confines of linear transport theory and on the assumption that the plasma is optically thin, our results are valid for temperatures up to a few MeV. By contrast, classical transport theory begins to incur significant errors above kBT ~ 10 keV, e.g., the parallel thermal conductivity is suppressed by 15% at kBT = 20 keV due to relativistic effects
spellingShingle Rose, S
Pike, O
Transport coefficients of a relativistic plasma
title Transport coefficients of a relativistic plasma
title_full Transport coefficients of a relativistic plasma
title_fullStr Transport coefficients of a relativistic plasma
title_full_unstemmed Transport coefficients of a relativistic plasma
title_short Transport coefficients of a relativistic plasma
title_sort transport coefficients of a relativistic plasma
work_keys_str_mv AT roses transportcoefficientsofarelativisticplasma
AT pikeo transportcoefficientsofarelativisticplasma