Date of Original Version
We present exact and explicit results for the thermodynamic properties (isochores, isotherms, isobars, response functions, velocity of sound) of a quantum gas in dimensions D⩾1 and with fractional exclusion statistics 0⩽g⩽1 connecting bosons (g=0) and fermions (g=1). In D=1 the results are equivalent to those of the Calogero-Sutherland model. Emphasis is given to the crossover between bosonlike and fermionlike features, caused by aspects of the statistical interaction that mimic long-range attraction and short-range repulsion. A phase transition along the isobar occurs at a nonzero temperature in all dimensions. The T dependence of the velocity of sound is in simple relation to isochores and isobars. The effects of soft container walls are accounted for rigorously for the case of a pure power-law potential.
G. G. Potter, G. Müller, and M. Karbach. Thermodynamics of ideal quantum gas with fractional statistics in D dimensions. Physical Review E, 75(2007), 061120, pp. 1-13.
Available at: http://dx.doi.org/10.1103/PhysRevE.75.061120