Condensation of nonextensive ideal Bose gas and critical exponents

Fereshteh Adli, Hosein Mohammadzadeh, Morteza Nattagh Najafi and Zahra Ebadi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 773-780

Abstract: We investigate the condensation of a three dimensional nonextensive ideal Bose gas. We use the distribution function of nonextensive Bose statistics and define the q-generalized polylogarithm functions and obtain the internal energy, the particle number and some useful thermodynamics response functions for q≥1. We show that the discontinuity of the slop of heat capacity with respect to the temperature is reduced by increasing the nonextensive parameter. Therefore, approximately for q>1.4 values of nonextensive parameter, the condensation does not occur. Also, we calculated the specific heat at constant pressure, the isothermal compressibility and the thermodynamic curvature, that behave as |T−Tcq|−ρ in which Tcq denotes the condensation temperature and ρ is the critical exponent. We show that the determined critical exponents are independent of nonextensive parameter. So, the scaling properties near the transition temperature indicates that the universality class of nonextensive systems is the same as extensive ones.

Keywords: Nonextensive statistics; Bose–Einstein condensation; Critical exponents; Universality classes (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:521:y:2019:i:c:p:773-780

DOI: 10.1016/j.physa.2019.01.093

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