The nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials

Huang Zhifu; Ou Congjie; Chen Jincan

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The nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials

Huang Zhifu 1 #,Ou Congjie 2,Chen Jincan 1 *

1.Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University

2.College of Information Science and Engineering, Huaqiao University

*Correspondence author

#Submitted by

Subject:

Funding: 教育部博士点基金，the Science Research Fund（No.20050384005，07BS105）

Opened online:21 November 2007

Accepted by: none

Citation: Huang Zhifu ,Ou Congjie ,Chen Jincan .The nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials[OL]. [21 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16494

The thermostatistic properties of a q-generalized Fermi system trapped in a generic power-law potential are studied, based on the generalized statistic distribution derived from Tsallis’ entropy. The total number of particles, total energy, and heat capacity at constant volume of the system are derived. The thermostatistic characteristics of the system are discussed in detail. It is found that the thermostatistic properties of such a system depend closely on the parameter q, dimensional number of the space, kinetic characteristics of particles and shapes of the external potential, and the external potential has a great influence on the thermostatistic properties of the system. Moreover, it is shown that the results obtained here are very general and can be used to describe the nonextensive and extensive thermostatistic properties of a class of Fermi systems trapped in different external potentials in a unified way so that the important conclusions of many typical Fermi systems in literature may be directly derived from the present paper.

Keywords:Generalized Fermi system; External potential; Thermostatistic property

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