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Phys. J. Plus"],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>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\u2013Boltzmann) and quantum (Fermi\u2013Dirac and Bose\u2013Einstein) statistics. It is shown that with the appropriate definition of the entropy current, Boltzmann\u2019s 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\u2013Einstein condensation. 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It is a pleasure to thank Jorge Diaz, Alan Kosteleck\u00fd and Marco Schreck for discussions and helpful suggestions.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"342"}}