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| Nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials |
| Huang Zhi-Fua, Chen Jin-Cana, Ou Cong-Jieb |
| a Department of Physics and Institute of
Theoretical Physics and
Astrophysics, Xiamen University, Xiamen 361005, China; b 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 |
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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.
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Received: 20 November 2007
Published: 20 April 2009
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| PACS: |
05.30.Fk
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(Fermion systems and electron gas)
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05.70.Ce
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(Thermodynamic functions and equations of state)
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| Fund: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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2009, Vol. 18 
