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Using the methods of numerical simulation and quantum statistics, based on the thermodynamic quantities of Fermi gas trapped in a general external potential, we studied the thermodynamic properties of a relativistic Fermi gas trapped in hard-sphere potential, gave the analytical expressions of the energy and heat capacity of the relativistic Fermi system, and analyzed the influence of the relativistic effect on the energy and heat capacity. The results showed the energy and heat capacity of the relativistic Fermi system is larger than those of the nonrelativistic case. The larger the relativistic eigenvalue, the lower the change temperature of heat capacity. As the temperature rises, the larger the relativistic eigenvalue, the greater the energy.
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Keywords:
- Fermi gas /
- relativistic effect /
- thermodynamic property
[1] ［1］Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2] ［2］Xiong H W， Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[3] ［3］Stoof H T C, Houbiers M, Sackett C A, Hulet R G 1996 Phys. Rev. Lett. 76 10
[4] ［4］Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese) ［袁都奇 2006 55 3912］
[5] ［5］Su G Z, Chen L X 2004 Acta Phys. Sin. 53 984 (in Chinese)［苏国珍、陈丽璇 2004 53 984］
[6] ［6］Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese)［门福殿 2006 55 1622］
[7] ［7］Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. 18 1380
[8] ［8］Men F D, Liu H 2006 Chin. Phys. 15 2856
[9] ［9］Men F D, Liu H, Zhu H Y 2008 Chin. Phys. 17 3236
[10] ］Su G Z, Chen J C, Chen L X 2006 J. Phys. A 39 4935
[11] ］Lü L, Men F D, Liu H 2007 J. Shandong Nor. Univ. (Nat. Sci.) 22 55 (in Chinese) ［吕琳、门福殿、刘慧 2007 山东师范大学学报 （自然科学版） 22 55］
[12] ］Yan Z J 2001 Coll. Phys. 20 3 (in Chinese) ［严子浚 2001 大学物理 20 3］
[13] ］Beckmann R, Karsch F, Miller D E 1982 Phys. Rev. A 25 561
[14] ］Frota H O, Silva M S, Goulart R S 1989 Phys. Rev. A 39 830
[15] ］Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. 18 2649
[16] ］Greiner W, Neise L, Stocker H 2001 Thermodynamics and Statistical Mechanics (Beijing: Peking University Press) p197 (in Chinese)［顾莱纳W、奈斯L、斯托克H 2001 热力学与统计力学(中译本) （北京：北京大学出版社） 第197页］
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[1] ［1］Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2] ［2］Xiong H W， Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[3] ［3］Stoof H T C, Houbiers M, Sackett C A, Hulet R G 1996 Phys. Rev. Lett. 76 10
[4] ［4］Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese) ［袁都奇 2006 55 3912］
[5] ［5］Su G Z, Chen L X 2004 Acta Phys. Sin. 53 984 (in Chinese)［苏国珍、陈丽璇 2004 53 984］
[6] ［6］Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese)［门福殿 2006 55 1622］
[7] ［7］Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. 18 1380
[8] ［8］Men F D, Liu H 2006 Chin. Phys. 15 2856
[9] ［9］Men F D, Liu H, Zhu H Y 2008 Chin. Phys. 17 3236
[10] ］Su G Z, Chen J C, Chen L X 2006 J. Phys. A 39 4935
[11] ］Lü L, Men F D, Liu H 2007 J. Shandong Nor. Univ. (Nat. Sci.) 22 55 (in Chinese) ［吕琳、门福殿、刘慧 2007 山东师范大学学报 （自然科学版） 22 55］
[12] ］Yan Z J 2001 Coll. Phys. 20 3 (in Chinese) ［严子浚 2001 大学物理 20 3］
[13] ］Beckmann R, Karsch F, Miller D E 1982 Phys. Rev. A 25 561
[14] ］Frota H O, Silva M S, Goulart R S 1989 Phys. Rev. A 39 830
[15] ］Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. 18 2649
[16] ］Greiner W, Neise L, Stocker H 2001 Thermodynamics and Statistical Mechanics (Beijing: Peking University Press) p197 (in Chinese)［顾莱纳W、奈斯L、斯托克H 2001 热力学与统计力学(中译本) （北京：北京大学出版社） 第197页］
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