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The explicit expression of the fugacity for weakly interacting Bose and Fermi gases

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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… Click to show full 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.

Keywords: explicit expression; interacting bose; bose fermi; expression fugacity; fermi gases; weakly interacting

Journal Title: Journal of Mathematical Physics
Year Published: 2017

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