Relativistic thermodynamic properties of a weakly interacting Fermi gas in a weak magnetic field |
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Authors: | Men Fu-Dian Liu Hui Fan Zhao-Lan and Zhu Hou-Yu |
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Institution: | College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China; College of Science, Anhui Science and Technology University, Bengbu 233100, China |
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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. |
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Keywords: | Fermi gas relativistic effect thermodynamic property |
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