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arXiv · 1902.01699

Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation

Gabriel S. Denicol·Etele Molnár·Harri Niemi·Dirk H. Rischke
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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 non-resistive 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.

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Gabriel S. Denicol, Etele Molnár, Harri Niemi, Dirk H. Rischke. 2019-02-05. Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation. https://doi.org/10.1103/physrevd.99.056017

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