  A particular framework for quantum gravity is the doubly special relativity
(DSR) formalism that introduces a new observer independent scale (the Planck
scale). We resort to the methods of statistical mechanics in this framework to
determine how the deformed dispersion relation affects the thermodynamics of a
photon gas. The ensuing modifications to the density of states, partition
function, pressure, internal energy, entropy, free energy and specific heat are
calculated. These results are compared with the outcome obtained in the Lorentz
violating model of Camacho and Marcias (Gen. Relativ. Gravit. 39: 1175-1183,
2007). The two types of models predict different results due to different
spacetime structure near the Planck scale. The resulting modifications can be
interpreted as a consequence of the deformed Lorentz symmetry present in the
particular model we have considered. In the low energy limit, our calculation
coincides with usual results of photon thermodynamics in special relativity
(SR) theory, in contrast to the study presented in (Phys. Rev. D81, 085039
(2010)).
