Gaussian fluctuations in an ideal bose-gas -- a simple model
A Petrova, O Nedopekin, D Tayurskii, Q A Wang
TL;DR
This paper introduces a simple scheme to account for Gaussian fluctuations in a finite ideal Bose gas, analyzing their impact on particle distribution and condensation temperature.
Contribution
It presents a novel scheme for incorporating Gaussian fluctuations in finite Bose gases within the canonical ensemble framework.
Findings
Fluctuations influence the particle distribution in Bose gases.
The dependence of the condensation temperature on fluctuation parameters was determined.
The scheme distinguishes effects with and without considering ground state particle number.
Abstract
Based on the canonical ensemble, we suggested the simple scheme for taking into account Gaussian fluctuations in a finite system of ideal boson gas. Within framework of scheme we investigated the influence of fluctuations on the particle distribution in Bose -gas for two cases - with taking into account the number of particles in the ground state and without this assumption. The temperature and fluctuation parameter dependences of the modified Bose- Einstein distribution have been determined. Also the dependence of the condensation temperature on the fluctuation distribution parameter has been obtained.
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