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Chin. Phys. B, 2010, Vol. 19(3): 030502    DOI: 10.1088/1674-1056/19/3/030502
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Statistic properties of Fermi gas in a strong magnetic field

Men Fu-Dian, Fan Zhao-Lan
College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China
Abstract  Based on the thermodynamic potential function of Fermi gas in a strong magnetic field, using the thermodynamics method, the integrated analytical expressions of thermodynamic quantities of the system at low temperatures are derived, and the effects of the magnetic field on the statistic properties of the system are analysed. It is shown that, as long as the temperature is not zero, the effects of the magnetic field on the thermodynamic quantities of the system contain both oscillatory and non-oscillatory parts. For the non-oscillatory part, compared with the situation of Fermi gas in a weak magnetic field, the influence of the magnetic field on the thermodynamic quantities is not exactly the same. For the oscillatory part, the period and amplitude of the oscillation are all related to the magnetic field. Due to the oscillation, the chemical potential may be greater than Ferim energy of the system, but the oscillation does not affect the thermodynamic stability of the system.
Keywords:  Fermi gas      statistic property      strong magnetic field     
Received:  09 August 2009      Published:  15 March 2010
PACS:  05.30.Fk (Fermion systems and electron gas)  
  05.70.-a (Thermodynamics)  

Cite this article: 

Men Fu-Dian, Fan Zhao-Lan Statistic properties of Fermi gas in a strong magnetic field 2010 Chin. Phys. B 19 030502

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