THE FREE QUON GAS SUFFERS GIBBS PARADOX

Autor(en): WERNER, RF
Stichwörter: Astronomy & Astrophysics; BOSE STATISTICS; EXAMPLE; FERMI; INFINITE STATISTICS; OSCILLATOR; PAULI PRINCIPLE; Physics; Physics, Particles & Fields; POLYNOMIALS; QUANTUM GROUP; RANDOM-VARIABLES; SMALL VIOLATIONS
Erscheinungsdatum: 1993
Herausgeber: AMERICAN PHYSICAL SOC
Journal: PHYSICAL REVIEW D
Volumen: 48
Ausgabe: 6
Startseite: 2929
Seitenende: 2934
Zusammenfassung: 
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 --> 1 (q --> -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.
ISSN: 05562821
DOI: 10.1103/PhysRevD.48.2929

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