The explicit expression of the fugacity for weakly interacting Bose and Fermi gases
arXiv:0906.0952 · doi:10.1063/1.5009905
Abstract
In this paper, we calculate the explicit expression for the fugacity for two- and three-dimensional weakly interacting Bose and Fermi gases from their equations of state in isochoric and isobaric processes, respectively, based on the mathematical result of the boundary problem of analytic functions --- the homogeneous Riemann-Hilbert problem. We also discuss the Bose-Einstein condensation phase transition of three-dimensional hard-sphere Bose gases.
24 pages, 9 figures