Gentile statistics with a large maximum occupation number

Details Gentile statistics with a large maximum occupation number Gentile statistics with a large maximum occupation number

2003-10-03

arxiv.org/abs/cond-mat/0310066v3

Ann. Phys. (N.Y.) 309 (2004) 295

Physics

Condensed Matter

Statistical Mechanics

9 pages. v2: minor changes. v3: a minor mistake in eq. (28) is corrected

Scientific paper

In Gentile statistics the maximum occupation number can take on unrestricted integers: $11 the Bose-Einstein case is not recovered from Gentile statistics as n goes to % N . Attention is also concentrated on the contribution of the ground state which was ignored in related literature. The thermodynamic behavior of a $% \nu $-dimensional Gentile ideal gas of particle of dispersion $E=\frac{p^{s}%}{2m}$, where $\nu $ and s are arbitrary, is analyzed in detail. Moreover, we provide an alternative derivation of the partition function for Gentile statistics.

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