Statistics of anyon gas and the factorizable property of thermodynamic quantities

Article

关键词: FRACTIONAL-STATISTICS;    QUANTUM-MECHANICS;    SUPERCONDUCTIVITY;    APPROXIMATION;    PARTICLES;   

DOI  :  10.1103/PhysRevB.53.15842

来源: SCIE

【 摘 要 】

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 [W. H. Huang, Phys. Rev. E 51, 3729 (1995)].

【 授权许可】

Free