Thermodynamics of a photon gas and deformed dispersion relations
arXiv:gr-qc/0702150 · doi:10.1007/s10714-007-0419-1
Abstract
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.
arXiv commentAccepted in General Relativity and Gravitation. Dedicated to O. Obregon on ocassion of his 60th. birthday
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