Generalized grand-canonical ensemble theory for interacting Bose-Einstein systems

Details Generalized grand-canonical ensemble theory for interacting Bose-Einstein systems Generalized grand-canonical ensemble theory for interacting Bose-Einstein systems

2008-11-20

arxiv.org/abs/0811.3351v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, two figures

Scientific paper

We use the maximum information principle to include particle-interaction into the grand-canonical theory of BECs. The inclusion of the particle-interaction elucidates why thermodynamic calculations for BECs by the grand-canonical ensemble for the non-interacting case are in coincidence with up to date experimental results. However, in our generalized theory we can show that a BEC experiences a real and abrupt phase-transition in contrast to the smooth phase-transition predicted by the non-interacting grand-canonical ensemble. In addition, we discuss possible effects due to a thermal environment and the experimental probing from a general point of view.

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