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Potter GG, Müller G, Karbach M. Thermodynamics of a statistically interacting quantum gas in D dimensions. Phys Rev E Stat Nonlin Soft Matter Phys. 2007;76(6):061112doi: 10.1103/PhysRevE.76.061112.
Potter, G. G., Müller, G., & Karbach, M. (2007). Thermodynamics of a statistically interacting quantum gas in D dimensions. Physical review. E, Statistical, nonlinear, and soft matter physics, 76(6), 061112. https://doi.org/10.1103/PhysRevE.76.061112
Potter, Geoffrey G, et al. "Thermodynamics of a statistically interacting quantum gas in D dimensions." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 76,6 (2007): 061112. doi: https://doi.org/10.1103/PhysRevE.76.061112
Potter GG, Müller G, Karbach M. Thermodynamics of a statistically interacting quantum gas in D dimensions. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Dec;76(6):061112. doi: 10.1103/PhysRevE.76.061112. Epub 2007 Dec 11. PMID: 18233819.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Dec;76(6):061112. doi: 10.1103/PhysRevE.76.061112. Epub 2007 Dec 11.

Thermodynamics of a statistically interacting quantum gas in D dimensions.

Physical review. E, Statistical, nonlinear, and soft matter physics

Geoffrey G Potter, Gerhard Müller, Michael Karbach

Affiliations

  1. Department of Physics, University of Rhode Island, Kingston, RI 02881, USA.

PMID: 18233819 DOI: 10.1103/PhysRevE.76.061112

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 Schrödinger 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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