Thermodynamic Geometry of Nonextensive quantum Gases

عدلی, فرشته and محمدزاده, حسین Thermodynamic Geometry of Nonextensive quantum Gases. In: 10th conference on statistical physics, soft condenced matter and complex systems, 2018. (Submitted)

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Abstract

In this paper, thermodynamic geometry of boson and fermion gases is investigated. First, defining the nonextensive distribution function for quantum statistics, we obtain the thermodynamic functions such as internal energy and particle number. For calculating of these quantities, we define the q-generalized polylogarithm functions and then solve them in the form of series. In the following, we construct the thermodynamic geometry for Bose(Fermi) gas and show that the thermodynamic curvature for various values of q, is positive(negative). Also, singularity of thermodynamic curvature at z=1 shows that the condensation phenomenon exists in nonextensive Bose statistics.

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