Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
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 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.
Main Authors
Format
Articles
Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
American Physical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201904022026Use this for linking
Review status
Peer reviewed
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.99.056017
Language
English
Published in
Physical Review D
Citation
- Denicol, G. S., Molnár, E., Niemi, H., & Rischke, D. H. (2019). Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation. Physical Review D, 99(5), Article 056017. https://doi.org/10.1103/PhysRevD.99.056017
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Funder(s)
Academy of Finland
Funding program(s)
Akatemiahanke, SA
Academy Project, AoF
Additional information about funding
The 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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