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Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities

Wung-Hong Huang
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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, $Q(α)$, of the free anyon gas may be factorized in the terms characteristic of the ideal Bose ($α=0$) and fermion ($α=1$) gases, i.e., $Q(α) = αQ(1) + (1-α) Q(0)$. 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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Wung-Hong Huang. 2007-02-04. Statistics of Anyon Gas and the Factorizable Property of Thermodynamic Quantities. https://doi.org/10.1103/physrevb.53.15842

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