中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1380-1388.doi: 10.1088/1674-1056/18/4/016

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

黄志福1, 陈金灿1, 欧聪杰2   

  1. (1)Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China; (2)Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China;College of Information Science and Engineering, Huaqiao University, Quanzhou 362021, China
  • 收稿日期:2007-11-20 修回日期:2007-11-26 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    Project supported by the Research Foundation of Ministry of Education, China (Grant No 20050384005) and the Science Research Fund, Huaqiao University, China (Grant No 07BS105).

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

Huang Zhi-Fu(黄志福)a), Ou Cong-Jie(欧聪杰)a)b), and Chen Jin-Can(陈金灿)a)†   

  1. a Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China; b College of Information Science and Engineering, Huaqiao University, Quanzhou 362021, China
  • Received:2007-11-20 Revised:2007-11-26 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    Project supported by the Research Foundation of Ministry of Education, China (Grant No 20050384005) and the Science Research Fund, Huaqiao University, China (Grant No 07BS105).

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摘要： 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 the Tsallis entropy. The total number of particles, the total energy, and the 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 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 unify the description of the nonextensive and extensive thermostatistic properties of a class of Fermi systems trapped in different external potentials so that the important conclusions of many typical Fermi systems in the literature may be directly derived from the present paper.

关键词: generalized Fermi system, external potential, thermostatistic property

Abstract: 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 the Tsallis entropy. The total number of particles, the total energy, and the 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 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 unify the description of the nonextensive and extensive thermostatistic properties of a class of Fermi systems trapped in different external potentials so that the important conclusions of many typical Fermi systems in the literature may be directly derived from the present paper.

Key words: generalized Fermi system, external potential, thermostatistic property

中图分类号:  (Fermion systems and electron gas)

  • 05.30.Fk
05.70.Ce (Thermodynamic functions and equations of state)