A1 Journal article (refereed)
Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation (2019)

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

JYU authors or editors

Niemi, Harri

Publication details

All authors or editors: Denicol, Gabriel S.; Molnár, Etele; Niemi, Harri; Rischke, Dirk H.

Journal or series: Physical Review D

ISSN: 2470-0010

eISSN: 2470-0029

Publication year: 2019

Volume: 99

Issue number: 5

Article number: 056017

Publisher: American Physical Society

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/PhysRevD.99.056017

Publication open access: Other way freely accessible online

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/63378

Web address where publication is available: https://arxiv.org/abs/1902.01699

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.

Keywords: plasma physics

Free keywords: magnetohydrodynamics; fluid dynamics

Fields of science: