Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

Figure 1

In this figure, we have plotted pressure , entropy , and specific heat of photon gas against temperature for model 1 (DSR) and model 2 with and . The results of models 1 and 2 have been obtained numerically using . We also used the Planck units, and the corresponding parameters take the following values: , , , , and . In this scale, is the Planck temperature, .

(a) Pressure versus temperature

(b) Entropy versus temperature

(c) Specific heat versus temperature