Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics

TL;DR

This paper derives analytical expressions for the Joule-Thomson coefficient of ideal anyons obeying fractional exclusion statistics, revealing the existence of a Joule-Thomson inversion temperature dependent on the statistical parameter.

Contribution

It introduces the first analytical expressions for the Joule-Thomson coefficient of ideal anyons with fractional exclusion statistics and explores their inversion temperature behavior.

Findings

Fermi gas has no Joule-Thomson inversion temperature.

Fractional exclusion statistics exhibit a Joule-Thomson inversion temperature.

Inversion temperature depends on the statistical parameter g.

Abstract

The analytical expressions of the Joule-Thomson coefficient for homogeneous and harmonically trapped three-dimensional ideal anyons which obey Haldane fractional exclusion statistics are derived. For an ideal Fermi gas, the Joule-Thomson coefficient is negative, which means that there is no maximum Joule-Thomson inversion temperature. With careful study, it is found that there exists a Joule-Thomson inversion temperature in the fractional exclusion statistics model. Furthermore, the relations between the Joule-Thomson inversion temperature and the statistical parameter $g$ are investigated.