The Canonical Partition Function for Quons

Abstract

We calculate the canonical partition function $Z_N$ for a system of $N$ free particles obeying so-called `quon' statistics where $q$ is real and satisfies $|q|<1$ by using simple counting arguments. We observe that this system is afflicted by the Gibbs paradox and that $Z_N$ is independent of $q$. We demonstrate that such a system of particles obeys the ideal gas law and that the internal energy $U$ ( and hence the specific heat capacity $C_V$ ) is identical to that of a system of $N$ free particles obeying Maxwell-Boltzmann statistics.

12 pages RevTex, NCL94-TP5 ( To be published in Physics Letters A )

References in corpus (2)

• Thermodynamic q-Distributions That Aren't
• The Free Quon Gas Suffers Gibbs' Paradox

Cited by in corpus (7)

• Anyonic behavior of quantum group gases
• Bose-Einstein condensation of a quantum group gas
• q-Boson approach to multiparticle correlations
• Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases
• Geometry of Quantum Group invariant systems
• Calculating eigenvalues of many-body systems from partition functions
• On the Thermodynamics of the q-Particles