Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
Denicol, Gabriel S.; Molnár, Etele; Niemi, Harri; Rischke, Dirk H. (2019). Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation. Physical Review D, 99 (5), 056017. DOI: 10.1103/PhysRevD.99.056017
Published inPhysical Review D
© 2019 American Physical Society
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 Eμ 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.
PublisherAmerican Physical Society
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingThe authors acknowledge enlightening discussion with G. Moore. E. M. acknowledges the warm hospitality of the Department of Physics of the University of Jyväskylä, where part of this work was done. This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center CRC-TR 211 “Strong-interaction matter under extreme conditions”—Project No. 315477589—TRR 211. G. S. D. thanks for Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) for financial support. E. M. is supported by the Bundesministerium für Bildung und Forschung (BMBF) and by the Research Council of Norway, (NFR) Project No. 255253/F50. H. N. is supported by the Academy of Finland, Project No. 297058. D. H. R. is partially supported by the High-end Foreign Experts Project No. GDW20167100136 of the State Administration of Foreign Experts Affairs of China. ...
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