Eur. Phys. J. D (2017) 71: 6
https://doi.org/10.1140/epjd/e2016-70546-1

Regular Article

Microcanonical finite-size scaling of an ideal Bose gas in a box

¹ Department of Physics, Nanchang University, Nanchang 330031, P.R. China
² State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China

^a e-mail: wangjianhui@ncu.edu.cn

Received: 30 August 2016
Received in final form: 2 November 2016
Published online: 12 January 2017

Abstract

We derive an exact recursive scheme to determine exactly the microcanonical partition function of a finite Bose system. Such a recursive approach is identical to that previously obtained within the context of counting statistics. Within the exact microcanonical ensemble, we study microcanonical finite-size scaling behaviors of condensate fraction and specific heat around the critical energy ϵ_c for the finite ideal Bose system. We show that the microcanonical scaling functions governing the various critical behaviors are universal in the ideal Bose-Einstein condensates.