Gentile statistics with a large maximum occupation number |
| |
Authors: | Wu-Sheng Dai Mi Xie |
| |
Affiliation: | a School of Science, Tianjin University, Tianjin 300072, PR China b Department of Physics, Tianjin Normal University, Tianjin 300074, PR China c LuiHui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, PR China |
| |
Abstract: | In Gentile statistics the maximum occupation number can take on unrestricted integers: 1<n<∞. It is usually believed that Gentile statistics will reduce to Bose-Einstein statistics when n equals the total number of particles in the system N. In this paper, we will show that this statement is valid only when the fugacity z<1; nevertheless, if z>1 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 ν-dimensional Gentile ideal gas of particle of dispersion E=ps/2m, where ν and s are arbitrary, is analyzed in detail. Moreover, we provide an alternative derivation of the partition function for Gentile statistics. |
| |
Keywords: | 05.30.Pr |
本文献已被 ScienceDirect 等数据库收录! |
|