Fractional Exclusion Statistics for the Multicomponent Sutherland Model

TL;DR

This paper demonstrates that the thermodynamics of the multicomponent Sutherland model can be described by free particles obeying fractional exclusion statistics, with parameters linked to interaction strength, applicable across all temperatures.

Contribution

It establishes a microscopic connection between the multicomponent Sutherland model and fractional exclusion statistics, including temperature-dependent and polarization effects.

Findings

Thermodynamics equivalent to free fractional particles at all temperatures

Exclusion statistics parameters depend on interaction strength

Low-temperature properties described by species-specific fractional particles

Abstract

We show by microscopic calculation that thermodynamics of the multicomponent Sutherland model is equivalent to that of a free particle system with fractional exclusion statistics at all temperatures. The parameters for exclusion statistics are given by the strength of the repulsive interaction, and have both intra- and inter-species components. We also show that low temperature properties of the system are described in terms of free fractional particles without the statistical parameters for different species. The effective exclusion statistics for intra-species at low temperatures depend on polarization of the system.