Thermodynamic quantities in the high-temperature limit in the GUP framework

Abstract

We study the values of thermodynamic quantities of physical systems at high temperatures in the framework of the generalized uncertainty principle (GUP). First, we obtain the semi-classical partition function, internal energy, and heat capacity for physical systems in a general case of deformed algebra. We show that at the high-temperature limit the heat capacity vanishes and the internal energy is maximized. We calculate this temperature for the ultra-relativistic system in approximate form. Finally, the maximum temperature and maximum energy for the ultra-relativistic system are obtained in the framework of two different GUPs.