Thermodynamics of a photon gas and deformed dispersion relations

Details Thermodynamics of a photon gas and deformed dispersion relations Thermodynamics of a photon gas and deformed dispersion relations

2007-02-28

arxiv.org/abs/gr-qc/0702150v1

Gen.Rel.Grav.39:1175-1183,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted in General Relativity and Gravitation. Dedicated to O. Obregon on ocassion of his 60th. birthday

Scientific paper

10.1007/s10714-007-0419-1

We resort to the methods of statistical mechanics in order to determine the effects that a deformed dispersion relation has upon the thermodynamics of a photon gas. The ensuing modifications to the density of states, partition function, pressure, internal energy, entropy, and specific heat are calculated. It will be shown that the breakdown of Lorentz invariance can be interpreted as a repulsive interaction, among the photons. Additionally, it will be proved that the presence of a deformed dispersion relation entails an increase in the entropy of the system. In other words, as a consequence of the loss of the aforementioned symmetry the number of microstates available to the corresponding equilibrium state grows.

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