Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field

doi:10.1088/1674-1056/18/7/005

中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2649-2653.doi: 10.1088/1674-1056/18/7/005

Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field

门福殿¹, 范召兰¹, 朱后禹¹, 刘慧²

(1)College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China; (2)College of Science, Anhui Science and Technology University, Bengbu 233100, China

收稿日期:2008-11-16 修回日期:2008-11-29 出版日期:2009-07-20 发布日期:2009-07-20

Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field

Men Fu-Dian(门福殿)^a)†, Liu Hui(刘慧)^b), Fan Zhao-Lan(范召兰)^a), and Zhu Hou-Yu(朱后禹)^a)

^a College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China; ^b College of Science, Anhui Science and Technology University, Bengbu 233100, China

Received:2008-11-16 Revised:2008-11-29 Online:2009-07-20 Published:2009-07-20

摘要/Abstract

摘要： This paper derives the analytical expression of free energy for a weakly interacting Fermi gas in a weak magnetic field, by using the methods of quantum statistics as well as considering the relativistic effect. Based on the derived expression, the thermodynamic properties of the system at both high and low temperatures are given and the relativistic effect on the properties of the system is discussed. It shows that, in comparison with a nonrelativistic situation, the relativistic effect changes the influence of temperature on the thermodynamic properties of the system at high temperatures, and changes the influence of particle-number density on them at extremely low temperature. But the relativistic effect does not change the influence of the magnetic field and inter-particle interactions on the thermodynamic properties of the system at both high and extremely low temperatures.

Abstract: This paper derives the analytical expression of free energy for a weakly interacting Fermi gas in a weak magnetic field, by using the methods of quantum statistics as well as considering the relativistic effect. Based on the derived expression, the thermodynamic properties of the system at both high and low temperatures are given and the relativistic effect on the properties of the system is discussed. It shows that, in comparison with a nonrelativistic situation, the relativistic effect changes the influence of temperature on the thermodynamic properties of the system at high temperatures, and changes the influence of particle-number density on them at extremely low temperature. But the relativistic effect does not change the influence of the magnetic field and inter-particle interactions on the thermodynamic properties of the system at both high and extremely low temperatures.

Key words: Fermi gas, relativistic effect, thermodynamic property

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

05.30.Fk

05.70.Ce (Thermodynamic functions and equations of state)

门福殿, 刘慧, 范召兰, 朱后禹. Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field[J]. 中国物理B, 2009, 18(7): 2649-2653.

Men Fu-Dian(门福殿), Liu Hui(刘慧), Fan Zhao-Lan(范召兰), and Zhu Hou-Yu(朱后禹). Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field[J]. Chin. Phys. B, 2009, 18(7): 2649-2653.

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Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field

Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field

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