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
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.
Received: 16 November 2008
Revised: 29 November 2008
Accepted manuscript online:
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 2009 Chin. Phys. B 18 2649
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