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2021•Low Temperature PhysicsRequires access

On the theory of ideal Bose-gas

A. I. Bugrij, В. М. Локтев

Open publisher page 3 citations

Abstract

Ideal Bose-gas with finite particle number N is investigated. It is shown that the well-known Bose–Einstein distribution of particles over their quantum states consists of two terms — Bose–Einstein term and an additional N-dependent one. The statement that the chemical potential of the ideal Bose-gas should be negative requires to be also corrected. It is obtained that the analytically calculated observables rather slowly approach the thermodynamic limit following the law N−1/3lnN.

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What this paper is about

Ideal Bose-gas with finite particle number N is investigated. It is shown that the well-known Bose–Einstein distribution of particles over their quantum states consists of two terms — Bose–Einstein term and an additional N-dependent one. The statement that the chemical potential of the ideal Bose-gas should be negative requires to be also corrected. It is obtained that the analytically calculated observables rather slowly approach the thermodynamic limit following the law N−1/3lnN.

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Available abstract

Ideal Bose-gas with finite particle number N is investigated. It is shown that the well-known Bose–Einstein distribution of particles over their quantum states consists of two terms — Bose–Einstein term and an additional N-dependent one. The statement that the chemical potential of the ideal Bose-gas should be negative requires to be also corrected. It is obtained that the analytically calculated observables rather slowly approach the thermodynamic limit following the law N−1/3lnN.

Key concepts: Bose gas, Ideal gas, Ideal (ethics), Physics, Observable, Bose–Einstein statistics, Thermodynamic limit, Bose–Einstein condensate

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