alpha-boson gas model based on alpha-additive entropy

Abstract

In this paper, we consider the grand partition function for an alpha-boson gas. First, we revisit the thermodynamic laws and functions in this formalism. Then, we explore alpha-boson gas condensation and show that the critical temperature at which alpha-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 alpha-deformed virial expansion for alpha-boson gas.