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

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

2001-05-18

arxiv.org/abs/cond-mat/0105359v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures

Scientific paper

10.1088/0953-4075/34/23/303

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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