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By using theoretical analysis and numerical simulation, the stability and the paramagnetism of Fermi gas in a strong magnetic field at low temperatures are studied, and the influences of temperature and magnetic field on the stability and susceptibility of the system are analyzed. The results show that the strong magnetic field causes variation of a system stability, and such a change relates to temperature. While the effects of temperature on stability and susceptibility are relevant to the chemical potential (i.e. the particle number density) of free gas. When the chemical potential is even, the magnetic field weakens the stability of the system, and the increasing of temperature leads to the reduction in the susceptibility of the system. When the chemical potential is odd, the magnetic field strengthens the stability of the system, while the increasing of temperature can increase the susceptibility of the system. With temperature increasing, the effect of the magnetic field on the stability is weakened. With magnetic field increasing, the change of the stability of the system becomes oscillatory, and the oscillation center of the susceptibility shifts down.
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Keywords:
- strong magnetic field /
- Fermi gas /
- stability /
- susceptibility
[1] Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2] Xiong H W, Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[3] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[4] Qin F, Chen J S 2009 Phys. Rev. A 79 043625
[5] Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. A 74 033602
[6] Chen J S, Cheng C M, Li J R, Wang Y P 2007 Phys. Rev. A 76 033617
[7] Men F D, Fan Z L 2010 Chin. Phys. B 19 030205
[8] Modugno G, Roati G, Riboli F 2002 Science 297 2240
[9] Amusia M Y, Msezane A Z, Shaginyan V R 2002 Phys. Lett. A 293 205
[10] Yan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese) [袁都奇 2006 55 3912]
[11] Men F D, Liu H 2006 Chin. Phys. 15 2856
[12] Landau L D, Lifshitz E M 1999 Statistical Physics Part I (3rd Ed.) (Oxford: Pergamon Press) pp175-177
[13] Liang X X 2003 Fundamentals of Advanced Statistical Mechanics (1st Ed.) (Hohhot: Inner Mongolia University Press) p86 (in Chinese) [梁希侠 2003 高等统计力学导论(第一版) (呼和浩特:内蒙古大学出版社) 第86页]
[14] "Quantum Statistical Physics" Compiling Group of Physics Department, Peking University 1987 Quantum Statistical Physics (1st Ed.) (Beijing: Peking University Press) pp168-169 (in Chinese) [北京大学物理系 《量子统计物理学》编写组 1987 量子统计物理学 (第一版) (北京:北京大学出版社) 第168-169页]
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[1] Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2] Xiong H W, Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[3] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[4] Qin F, Chen J S 2009 Phys. Rev. A 79 043625
[5] Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. A 74 033602
[6] Chen J S, Cheng C M, Li J R, Wang Y P 2007 Phys. Rev. A 76 033617
[7] Men F D, Fan Z L 2010 Chin. Phys. B 19 030205
[8] Modugno G, Roati G, Riboli F 2002 Science 297 2240
[9] Amusia M Y, Msezane A Z, Shaginyan V R 2002 Phys. Lett. A 293 205
[10] Yan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese) [袁都奇 2006 55 3912]
[11] Men F D, Liu H 2006 Chin. Phys. 15 2856
[12] Landau L D, Lifshitz E M 1999 Statistical Physics Part I (3rd Ed.) (Oxford: Pergamon Press) pp175-177
[13] Liang X X 2003 Fundamentals of Advanced Statistical Mechanics (1st Ed.) (Hohhot: Inner Mongolia University Press) p86 (in Chinese) [梁希侠 2003 高等统计力学导论(第一版) (呼和浩特:内蒙古大学出版社) 第86页]
[14] "Quantum Statistical Physics" Compiling Group of Physics Department, Peking University 1987 Quantum Statistical Physics (1st Ed.) (Beijing: Peking University Press) pp168-169 (in Chinese) [北京大学物理系 《量子统计物理学》编写组 1987 量子统计物理学 (第一版) (北京:北京大学出版社) 第168-169页]
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