The boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories

Potting, Robertus

http://hdl.handle.net/10400.1/19637

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
s13360-023-03889-3.pdf		504.8 KB	Adobe PDF	Download

Send Feedback

Authors

Potting, Robertus

Abstract(s)

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 nonelastic collisions between multiple species of particles corresponding to chemical or nuclear reactions is considered.