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arXiv · hep-th/9304120

The Free Quon Gas Suffers Gibbs' Paradox

R. F. Werner
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Abstract

We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp.\ $q\to-1$), the partition functions of free gases are independent of $q$ in the range $-1<q<1$. The partition functions exhibit Gibbs' Paradox in the same way as a classical gas without a correction factor $1/N!$ for the statistical weight of the $N$-particle phase space, i.e.\ the Statistical Mechanics does not describe a material for which entropy, free energy, and particle number are extensive thermodynamical quantities.

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R. F. Werner. 1993-04-26. The Free Quon Gas Suffers Gibbs' Paradox. https://doi.org/10.1103/physrevd.48.2929

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