Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities

Details Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities

2007-02-04

arxiv.org/abs/cond-mat/0702070v1

Phys.Rev.B53:15842,1996

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevB.53.15842

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)

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