Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities

Abstract

The statistical distribution function of anyon is used to find the eighth viral coefficient in the high-temperature limit and the equation of state in the low-temperature limit. The perturbative results indicate that the thermodynamic quantities, $Q(\alpha )$, of the free anyon gas may be factorized in the terms characteristic of the ideal Bose ($\alpha =0$) and fermion ($\alpha =1$) gases, i.e., $Q(\alpha )=\alpha Q(1)+(1-\alpha )Q(0)$. It is shown that the factorizable property of the thermodynamic quantities, to all orders, can be established from the property of the equivalence between the anyon statistics and statistics in a system with boson-fermion transmutation, which was found by us in a recent paper (hep-th/0308095; Phys. Rev. E 51 (1995) 3729)

References in corpus (1)

• Statistical Interparticle Potential between Two Anyons

Cited by in corpus (3)

• Ruppeiner Geometry of Anyon Gas
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension"