The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories
Abstract
In this work we adapt the foundations of relativistic kinetic theory and the Boltzmann equation to particles with Lorentz-violating dispersion relations. The latter are taken to be those associated to two commonly considered sets of coefficients in the minimal Standard-Model Extension. We treat both the cases of classical (Maxwell-Boltzmann) and quantum (Fermi-Dirac and Bose-Einstein) statistics. It is shown that with the appropriate definition of the entropy current, Boltzmann's H-theorem continues to hold. We derive the equilibrium solutions and then identify the Lorentz-violating effects for various thermodynamic variables, as well as for Bose-Einstein condensation. Finally, a scenario with non-elastic collisions between multiple species of particles corresponding to chemical or nuclear reactions is considered.
Keywords
Cite
@article{arxiv.2212.06528,
title = {The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories},
author = {Robertus Potting},
journal= {arXiv preprint arXiv:2212.06528},
year = {2022}
}