Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
Abstract
We derive the equations of motion of relativistic, non-resistive, 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 non-resistive, 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, non-resistive, 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.
Keywords
Cite
@article{arxiv.1804.05210,
title = {Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation},
author = {Gabriel S. Denicol and Xu-Guang Huang and Etele Molnár and Gustavo M. Monteiro and Harri Niemi and Jorge Noronha and Dirk H. Rischke and Qun Wang},
journal= {arXiv preprint arXiv:1804.05210},
year = {2018}
}
Comments
18 pages, 2 figures; Discussions, references and corrections added. Fig. 1a corrected, typos fixed