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arXiv · 0710.1031

Thermodynamics of statistically interacting quantum gas in D dimensions

Geoffrey G. Potter·Gerhard Mueller·Michael Karbach
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Abstract

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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BibTeXRIS

Geoffrey G. Potter, Gerhard Mueller, Michael Karbach. 2007-10-04. Thermodynamics of statistically interacting quantum gas in D dimensions. https://doi.org/10.1103/physreve.76.061112

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