Thermodynamics of statistically interacting quantum gas in D dimensions

Details Thermodynamics of statistically interacting quantum gas in D dimensions Thermodynamics of statistically interacting quantum gas in D dimensions

2007-10-04

arxiv.org/abs/0710.1031v1

Physics

Condensed Matter

Statistical Mechanics

12 pages and 19 figures

Scientific paper

10.1103/PhysRevE.76.061112

We present the exact thermodynamics (isochores, isotherms, isobars, response functions) of a statistically interacting quantum gas in D dimensions. The results in D=1 are those of the thermodynamic Bethe ansatz for the nonlinear Schroedinger model, a gas with repulsive two-body contact potential. In all dimensions the ideal boson and fermion gases are recovered in the weak-coupling and strong-coupling limits, respectively. For all nonzero couplings ideal fermion gas behavior emerges for D>>1 and, in the limit D->infinity, a phase transition occurs at T>0. Significant deviations from ideal quantum gas behavior are found for intermediate coupling and finite D.

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