The free quon gas suffers Gibbs' paradox

authored by

R. F. Werner

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 (Fermi) relations for q (q 1), the partition functions of free gases are independent of q in the range -1 lt q . 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.

Organisation(s)

Institute of Theoretical Physics

Type

Article

Journal

Phys. Rev. D

Volume

48

Pages

2929-2934

No. of pages

6

Publication date

1993

Publication status

Published

Peer reviewed

Yes

Electronic version(s)

https://doi.org/10.1103/PhysRevD.48.2929 (Access: Unknown)