Statistics of anyon gas and the factorizable property of thermodynamic quantities
Wung-Hong Huang
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(\ensuremath{\alpha}), of the free anyon gas may be factorized in the terms characteristic of the ideal Bose (\ensuremath{\alpha}=0) and fermion (\ensuremath{\alpha}=1) gases, i.e., Q(\ensuremath{\alpha})=\ensuremath{\alpha}Q(1)+(1-\ensuremath{\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 [W. H. Huang, Phys. Rev. E 51, 3729 (1995)]. \textcopyright{} 1996 The American Physical Society.
arXiv:cond-mat/0702070•Physical review. B, Condensed matter•Jun 15, 1996•13 citations