Low Temperature Physics: 44, 1025 (2018); https://doi.org/10.1063/1.5055843
Fizika Nizkikh Temperatur: Volume 44, Number 10 (October 2018), p. 1308-1315    ( to contents , go back )

Ideal Bose-gas in nonadditive statistics

Andrij Rovenchak

Department for Theoretical Physics, Ivan Franko National University of Lviv 12 Drahomanov Str., Lviv UA–79005, Ukraine
E-mail: andrij.rovenchak@gmail.com

Received January 25, 2018, published online August 28, 2018

Abstract

The paper analyzes an approach to the generalization of the conventional Bose–Einstein statistics based on the nonadditive entropy of Tsallis. A detailed derivation of thermodynamic functions is presented. The calculations are made for the specific heat of two model systems, namely, the ideal three-dimensional gas obeying the nonadditive modification of the Bose–Einstein statistics and the system with linear excitation spectrum attempted as a qualitative approximation of liquid 4He thermodynamics.

Key words: Bose–Einstein statistics, Tsallis entropy, nonadditive statistics, ideal Bose-gas, 4He.

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