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


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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