The free quon gas suffers Gibbs' paradox

verfasst von

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.

Organisationseinheit(en)

Institut für Theoretische Physik

Typ

Artikel

Journal

Phys. Rev. D

Band

48

Seiten

2929-2934

Anzahl der Seiten

6

Publikationsdatum

1993

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

Elektronische Version(en)

https://doi.org/10.1103/PhysRevD.48.2929 (Zugang: Unbekannt)