| Issue |
EPJ Web Conf.
Volume 296, 2024
30th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions (Quark Matter 2023)
|
|
|---|---|---|
| Article Number | 03004 | |
| Number of page(s) | 4 | |
| Section | Astrophysics | |
| DOI | https://doi.org/10.1051/epjconf/202429603004 | |
| Published online | 26 June 2024 | |
https://doi.org/10.1051/epjconf/202429603004
Relativistic dissipative magnetohydrodynamics from the Boltzmann equation for 2-particle species gas
Instituto de Física, Universidade Federal Fluminense (UFF), Niterói, 24210-346, RJ, Brazil
* e-mail: khwahish_kushwah@id.uff.br
** e-mail: gsdenicol@id.uff.br
Published online: 26 June 2024
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.
© The Authors, published by EDP Sciences, 2024
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