Details
| Original language | English |
|---|---|
| Pages (from-to) | 2929-2934 |
| Number of pages | 6 |
| Journal | Phys. Rev. D |
| Volume | 48 |
| Issue number | 6 |
| Publication status | Published - 1993 |
Abstract
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In: Phys. Rev. D, Vol. 48, No. 6, 1993, p. 2929-2934.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The free quon gas suffers Gibbs' paradox
AU - Werner, R. F.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevD.48.2929
DO - 10.1103/PhysRevD.48.2929
M3 - Article
VL - 48
SP - 2929
EP - 2934
JO - Phys. Rev. D
JF - Phys. Rev. D
SN - 1550-2368
IS - 6
ER -