Nonresistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
Abstract
We derive the equations of motion of relativistic, nonresistive, second-order dissipative magnetohydrodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like particles with vanishing dipole moment or spin, so that the fluid has vanishing magnetization and polarization. In a first approximation, we assume the fluid to be nonresistive, which allows to express the electric field in terms of the magnetic field. We derive equations of motion for the irreducible moments of the deviation of the single-particle distribution function from local thermodynamical equilibrium. We analyze the Navier-Stokes limit of these equations, reproducing previous results for the structure of the first-order transport coefficients. Finally, we truncate the system of equations for the irreducible moments using the 14-moment approximation, deriving the equations of motion of relativistic, nonresistive, second-order dissipative magnetohydrodynamics. We also give expressions for the new transport coefficients appearing due to the coupling of the magnetic field to the dissipative quantities.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
American Physical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201810244519Use this for linking
Review status
Peer reviewed
ISSN
2470-0010
DOI
https://doi.org/10.1103/physrevd.98.076009
Language
English
Published in
Physical Review D
Citation
- Denicol, G. S., Huang, X.-G., Molnár, E., Monteiro, G. M., Niemi, H., Noronha, J., Rischke, D. H., & Wang, Q. (2018). Nonresistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation. Physical Review D, 98(7), Article 076009. https://doi.org/10.1103/physrevd.98.076009
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Funder(s)
Research Council of Finland
Funding program(s)
Akatemiahanke, SA
Academy Project, AoF
Additional information about funding
The authors would like to thank T. Lappi for pointing out the similarity of the reduction of dissipative transport coefficients in a magnetic field observed here to the mechanism suggested in Ref. [40]. G. S. D. greatly acknowledges the warm hospitality of the Department of Physics of Goethe University, where part of this work was done. E. M. and D. H. R. greatly acknowledge 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 Collaborative Research Center CRC-TR 211 “Strong-interaction matter under extreme conditions” funded by DFG. G. S. D. and J. N. thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) for financial support. X. G. H. is supported by the Young 1000 Talents Program of China, NSFC with Grants No. 11535012 and No. 11675041. 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 European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 655285 and by the Academy of Finland, Project No. 297058. J. N. and G. M. M. thank Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) under Grants No. 2015/50266-2 (2017/05685-2) and No. 2016/13517-0, respectively, for financial support. 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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