Thermodynamics of canonical ensemble of an ideal gas in presence of Planck-scale effects

This paper investigates the influence of the generalized uncertainty principle (GUP) on the thermodynamics of the canonical ensemble of an ideal gas. The partition function is obtained by usingquantum and classical approaches. In the quantum procedure, we use the modified energy spectrum of a particle confined in a three-dimensional well in the presence of GUP. In the classical procedure, the phase space mechanism is employed to obtain the desired partition function. In particular, first-order corrections to the thermodynamical characteristics, such as the mean energy, the entropy, and the density of states, are obtained. Although the induced improvements manifest themselves at very high temperatures, if one applies the predicted observational bound on the GUP deformation parameter, the modifications become more observable even at intermediate temperatures.