title: Thermodynamics of a statistically interacting quantum gas in D dimensions.
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 .
authors.affiliation: Department of Physics, University of Rhode Island, Kingston, RI 02881, USA.
authors.forename: Geoffrey G
authors.initials: GG
authors.lastname: Potter
authors.forename: Gerhard
authors.initials: G
authors.lastname: Müller
authors.forename: Michael
authors.initials: M
authors.lastname: Karbach