On the Features of Ideal Bose-Gas Thermodynamic Prop-erties at a Finite Particle Number

Authors

  • A.I. Bugrij Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • V.M. Loktev Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.15407/ujpe67.4.235

Keywords:

ideal Bose-gas, Bose-distribution, canonical ensembles

Abstract

The paper is devoted to the theory of an ideal Bose-gas with a finite number N of particles. The exact expressions for the partition functions and occupation numbers of the model in the grand canonical, canonical, and microcanonical ensembles are found. From the calculations, it is followed that, oppositely to the accepted opinion that the chemical potential μ of an ideal Bose-gas is only negative, it can take values in the range −∞ < μ < ∞. The asymptotic expressions (in the case N ≫ 1) for the partition functions and occupation numbers for all above-mentioned thermodynamic ensembles are also evaluated.

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A.I. Bugrij, V.M. Loktev. On the theory of ideal Bose-gas. Low Temperature Physics 47, No. 2, 132 (2021).

https://doi.org/10.1063/10.0003171

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Published

2022-07-06

How to Cite

Bugrij, A., & Loktev, V. (2022). On the Features of Ideal Bose-Gas Thermodynamic Prop-erties at a Finite Particle Number. Ukrainian Journal of Physics, 67(4), 235. https://doi.org/10.15407/ujpe67.4.235

Issue

Section

General physics

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