Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for 2-particle species gas

Fuente: arXiv
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Autores principales: Kushwah, Khwahish, Denicol, Gabriel Silveria
Formato: Preprint
Publicado: 2026
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author Kushwah, Khwahish
Denicol, Gabriel Silveria
author_facet Kushwah, Khwahish
Denicol, Gabriel Silveria
contents We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with vanishing dipole moment or spin, so that the fluid has vanishing magnetization and polarization. We find that the dynamics of this fluid changes dramatically in the presence of a magnetic field. The shear stress tensor no longer adheres to a single differential equation; instead, it splits into three non-degenerate components, each evolving according to distinct dynamical equations. Exploring these equations in a Bjorken flow scenario, we find that for large magnetic fields, our theory predicts oscillatory behavior beyond the scope of an Israel-Stewart-like theory.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20942
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for 2-particle species gas
Kushwah, Khwahish
Denicol, Gabriel Silveria
High Energy Astrophysical Phenomena
High Energy Physics - Theory
We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with vanishing dipole moment or spin, so that the fluid has vanishing magnetization and polarization. We find that the dynamics of this fluid changes dramatically in the presence of a magnetic field. The shear stress tensor no longer adheres to a single differential equation; instead, it splits into three non-degenerate components, each evolving according to distinct dynamical equations. Exploring these equations in a Bjorken flow scenario, we find that for large magnetic fields, our theory predicts oscillatory behavior beyond the scope of an Israel-Stewart-like theory.
title Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for 2-particle species gas
topic High Energy Astrophysical Phenomena
High Energy Physics - Theory
url https://arxiv.org/abs/2602.20942