Thermodynamic potential of interacting Bose-Einstein gas confined in harmonic potential

Details Thermodynamic potential of interacting Bose-Einstein gas confined in harmonic potential Thermodynamic potential of interacting Bose-Einstein gas confined in harmonic potential

2001-02-15

arxiv.org/abs/cond-mat/0102269v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTeX, 4 figures

Scientific paper

We investigate the interaction effect between atoms and the finite size effect of a Bose-Einstein gas at finite temperature. Using a mean field approach, we derive the thermodynamic potential on finite systems and obtain the condensate fraction, the chemical potential and the internal energy with the interaction and the finite size effects taken into account. In this approach, we can treat thermodynamic quantities as those of the ideal Bose gas. It is found that the interaction effect shifts the transition temperature by a few percent toward the lower temperature. Above the transition temperature, these quantities agree with the noninteracting Bose gas.

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