Finite size scaling and the role of the thermodynamic ensemble in the transition temperature of a dilute Bose gas

Preprint

18 May 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0105359

Abstract

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared divergences and cannot directly determine the transition temperature in the thermodynamic limit. However, in conjunction with finite size scaling, perturbation theory provides a powerful calculation tool. We implement it here to estimate a shift in the transition temperature in the canonical ensemble consistent with grand canonical calculations.

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All Related Versions

Version 1, 2001-05-18, ArXiv
Published version: Journal of Physics B: Atomic, Molecular and Optical Physics, 34 (23), 4561.

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