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arXiv · 2011.01606

Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach

Ankit Kumar Panda·Ashutosh Dash·Rajesh Biswas·Victor Roy
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Abstract

We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of the single-particle distribution function truncated at second order. In the first order, the transport coefficients are independent of the magnetic field. In the second-order, new transport coefficients that couple magnetic field and the dissipative quantities appear which are different from those obtained in the 14-moment approximation \cite{Denicol:2018rbw} in the presence of a magnetic field. However, in the limit of the weak magnetic field, the form of these equations are identical to the 14-moment approximation albeit with a different values of these coefficients. We also derive the anisotropic transport coefficients in the Navier-Stokes limit.

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Ankit Kumar Panda, Ashutosh Dash, Rajesh Biswas, Victor Roy. 2020-11-03. Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach. https://doi.org/10.1007/jhep03(2021)216

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