Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation

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Denicol , G S , Molnár , E , Niemi , H & Rischke , D H 2019 , ' Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation ' , Physical Review D , vol. 99 , no. 5 , 056017 . https://doi.org/10.1103/PhysRevD.99.056017

Title: Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
Author: Denicol, Gabriel S.; Molnár, Etele; Niemi, Harri; Rischke, Dirk H.
Contributor: University of Helsinki, Helsinki Institute of Physics
Date: 2019-03-28
Language: eng
Number of pages: 11
Belongs to series: Physical Review D
ISSN: 2470-0010
URI: http://hdl.handle.net/10138/308448
Abstract: We derive the equations of motion of relativistic, resistive, second-order dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation using the method of moments. We thus extend our previous work [Phys. Rev. D 98, 076009 (2018)], where we only considered the nonresistive limit, to the case of finite electric conductivity. This requires keeping terms proportional to the electric field E-mu in the equations of motions and leads to new transport coefficients due to the coupling of the electric field to dissipative quantities. We also show that the Navier-Stokes limit of the charge-diffusion current corresponds to Ohm's law, while the coefficients of electrical conductivity and charge diffusion are related by a type of Wiedemann-Franz law.
Subject: THERMODYNAMICS
114 Physical sciences
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