Perturbative equation of state for a gas of anyons

Alain Dasnières de Veigy, Stéphane Ouvry

Alain Dasnières de Veigy, Stéphane Ouvry

Avinash Khare, John McCabe

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.

Kyung Hyun Cho, Chaiho P. Rim

We construct a partition function of N anyons in a constant external magnetic field and in an external harmonic potential well. From this we find an equation of state for the free anyon gas. The equation of state exhibits quantum behavior when the density of the anyons is of order of 1/N${\ensuremath{\lambda}}_{\mathit{T}}^{2}$, where ${\ensuremath{\lambda}}_{\mathit{T}}$ is the mean thermal wavelength.