Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics

Details Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics

2007-11-05

arxiv.org/abs/0711.0688v1

Phys. Rev. E 76 (2007) 061123

Physics

Condensed Matter

Strongly Correlated Electrons

Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.76.061123

After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional exclusion statistics. The effect of dimensionality is one focal point, the ratio mu/kB T of chemical potential to thermal energy being obtained numerically as a function of a scaled particle density. Pair correlation functions are also presented as a function of the statistical parameter, with `Friedel' oscillations developing close to the fermion limit, for sufficiently large density.

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