High density equation of state and condensation of ideal Bose gas using Mayer’s generating function

Abstract

The equation of state of an ideal collection of bosons in the low-density and high-density regime are found usingthe method of cluster expansion with Mayer’s generating function. The saturation density and the other thermodynamicproperties are calculated by the application of Mayer’s convergence of the partition function. By calculating the valueof saturation density from the singularity of the partition function series, the differences between the Mayer seriesconvergence and the virial series convergence for ideal bosons are also established.