Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension"

Abstract

It is mentioned that anyon thermodynamic potential $Q(\alpha ,N)$ could not be factorized in terms characteristic of the ideal boson $\alpha =0$ and fermion $\alpha =1$ gases by the relation $Q(\alpha ,N)=(1-\alpha )Q(0,N_b)+\alpha Q(1,N_f)$ in which $N=N_f+N_b$, that claimed in Phys. Rev. Lett. 78, 3233 (1997). Our analyses indicate that the thermodynamic quantities of anyon gas may be factorized as $Q(\alpha )=\alpha Q(1)+(1-\alpha )Q(0)$ only in the two-dimension system.

References in corpus (1)

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

Cited by in corpus (5)

• Thermodynamic Geometry of Fractional Statistics
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
• Thermodynamics of non-abelian exclusion statistics
• Nonperturbative thermodynamic extrinsic curvature of the anyon gas