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

Abstract

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.

Accepted for publication in Phys. Rev. E

References in corpus (3)

• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Correlation functions of one-dimensional anyonic fluids
• Statistical Interparticle Potential between Two Anyons

Cited by in corpus (10)

• Thermodynamic Geometry of Fractional Statistics
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Perturbative Thermodynamic Geometry of Nonextensive Ideal Classical, Bose and Fermi Gases
• Natural orbitals in relation to quantum information theory: from model light atoms through to emergent metallic properties
• Fractional exclusion statistics applied to relativistic nuclear matter
• Equivalence between fractional exclusion statistics and self-consistent mean-field theory in interacting particle systems in any number of dimensions
• From Fractional Exclusion Statistics Back to Bose and Fermi Distributions
• Statistical correlations of an anyon liquid at low temperatures
• Nonperturbative thermodynamic extrinsic curvature of the anyon gas