α-boson gas model based on α-additive entropy

Abstract

Abstract In this paper, we consider the grand partition function for an α-boson gas. First, we revisit the thermodynamic laws and functions in this formalism. Then, we explore α-boson gas condensation and show that the critical temperature at which α-boson condensation begins depends on the shape of the container. In particular, we compute the critical temperature for a cubic container. Finally, we discuss the α-deformed virial expansion for α-boson gas.