The free quon gas suffers Gibbs' paradox
- FB Physik, Universitaet Osnabrueck, D-49069 Osnabrueck (Germany)
We consider the statistical mechanics of systems of particles satisfying the [ital q]-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (Fermi) relations for [ital q][r arrow]1 ([ital q][r arrow][minus]1), the partition functions of free gases are independent of [ital q] in the range [minus]1[lt][ital q][lt]1. The partition functions exhibit Gibbs' paradox in the same way as a classical gas without a correction factor 1/[ital N] for the statistical weight of the [ital 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.
- OSTI ID:
- 6277799
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 48:6; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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PARTICLES
STATISTICAL MECHANICS
COMMUTATION RELATIONS
ENTROPY
FREE ENERGY
PARTITION FUNCTIONS
PHASE SPACE
ENERGY
FUNCTIONS
MATHEMATICAL SPACE
MECHANICS
PHYSICAL PROPERTIES
SPACE
THERMODYNAMIC PROPERTIES
662200* - Specific Theories & Interaction Models
Particle Systematics- (1992-)