强磁场中弱相互作用费米气体的热力学性质

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强磁场中弱相互作用费米气体的热力学性质

门福殿 , 王炳福 , 何晓刚 , 隗群梅

强磁场中弱相互作用费米气体的热力学性质

门福殿, 王炳福, 何晓刚, 隗群梅

物理学报. 2011, 60(8): 080501.

doi: 10.7498/aps.60.080501.

摘要

基于赝势法和局域密度近似研究了强磁场中弱相互作用费米气体的热力学性质,得出化学势、总能和热容量的解析式,同时分析了磁场及相互作用对系统热力学性质的影响.研究表明,无论是高温情况还是低温情况下,磁场都能调节相互作用的影响.低温下,与无磁场的系统相比,磁场降低系统的化学势、总能和热容量;与无相互作用系统相比,排斥作用增加化学势而降低总能及热容量.高温下,磁场和排斥作用均可降低系统的总能而增加热容量,强磁场可以改变相互作用对总能及热容量的影响.

关键词:

作者及机构信息

1.
中国石油大学(华东)物理科学与技术学院,东营 257061;

2.
滨州学院物理系,滨州 256600

基金项目: 山东省自然科学基金(批准号:ZR2010AL027)资助的课题.

参考文献

[1]	Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2]
[3]	Xiong H W, Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[4]	Dong H, Ma Y L 2009 Chin. Phys. B 18 0715
[5]
[6]
[7]	Qin F, Chen J S 2009 Phys. Rev. A 79 043625
[8]	Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. A 74 033602
[9]
[10]
[11]	Chen J S, Cheng C M, Li J R, Wang Y P 2007 Phys. Rev. A 76 033617
[12]	Men F D, Fan Z L 2010 Chin. Phys. B 19 030502
[13]
[14]	Kinast J, Hemmer S L, Gehm M E, Turlapov A, Thomas J E 2004 Phys. Rev. Lett. 92 150402
[15]
[16]
[17]	Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag J H, Grimm R 2004 Phys. Rev. Lett. 92 203201
[18]	Kinast J, Turlapov A, Thomas J E, Chen Q J, Stajic J, Levin K 2005 Science 307 1296
[19]
[20]	Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H, Ketterle W 2005 Nature 435 1047
[21]
[22]	Su G Z, Chen L X 2004 Acta Phys. Sin. 53 984 (in Chinese) [苏国珍、陈丽璇 2004 物理学报 53 984]
[23]
[24]
[25]	Landau L D, Lifshitz E M 1999 Statistical Physics (Part Ⅰ) (3rd ed) (Oxford: Pergamon Press) p173
[26]
[27]	Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese) [门福殿 2006 物理学报 55 1622]

施引文献

[1]	Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[2]
[3]	Xiong H W, Liu S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[4]	Dong H, Ma Y L 2009 Chin. Phys. B 18 0715
[5]
[6]
[7]	Qin F, Chen J S 2009 Phys. Rev. A 79 043625
[8]	Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. A 74 033602
[9]
[10]
[11]	Chen J S, Cheng C M, Li J R, Wang Y P 2007 Phys. Rev. A 76 033617
[12]	Men F D, Fan Z L 2010 Chin. Phys. B 19 030502
[13]
[14]	Kinast J, Hemmer S L, Gehm M E, Turlapov A, Thomas J E 2004 Phys. Rev. Lett. 92 150402
[15]
[16]
[17]	Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag J H, Grimm R 2004 Phys. Rev. Lett. 92 203201
[18]	Kinast J, Turlapov A, Thomas J E, Chen Q J, Stajic J, Levin K 2005 Science 307 1296
[19]
[20]	Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H, Ketterle W 2005 Nature 435 1047
[21]
[22]	Su G Z, Chen L X 2004 Acta Phys. Sin. 53 984 (in Chinese) [苏国珍、陈丽璇 2004 物理学报 53 984]
[23]
[24]
[25]	Landau L D, Lifshitz E M 1999 Statistical Physics (Part Ⅰ) (3rd ed) (Oxford: Pergamon Press) p173
[26]
[27]	Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese) [门福殿 2006 物理学报 55 1622]

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物理学报. 2011, 60(8): 080501.

doi: 10.7498/aps.60.080501.

强磁场中弱相互作用费米气体的热力学性质

1. 中国石油大学(华东)物理科学与技术学院,东营 257061;
2. 滨州学院物理系,滨州 256600

基金项目:

山东省自然科学基金(批准号:ZR2010AL027)资助的课题.

收稿日期: 2010-10-10
修回日期: 2011-01-29
刊出日期: 2011-08-15

摘要: 基于赝势法和局域密度近似研究了强磁场中弱相互作用费米气体的热力学性质,得出化学势、总能和热容量的解析式,同时分析了磁场及相互作用对系统热力学性质的影响.研究表明,无论是高温情况还是低温情况下,磁场都能调节相互作用的影响.低温下,与无磁场的系统相比,磁场降低系统的化学势、总能和热容量;与无相互作用系统相比,排斥作用增加化学势而降低总能及热容量.高温下,磁场和排斥作用均可降低系统的总能而增加热容量,强磁场可以改变相互作用对总能及热容量的影响.

关键词:

English Abstract

Thermodynamic properties of a weakly interacting Fermi gas in a strong magnetic field

1.
College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China;

2.
Department of Physics, Binzhou University, Binzhou 256600, China

Received Date: 10 October 2010
Accepted Date: 29 January 2011
Published Online: 15 August 2011

Abstract: Based on the pseudopotential method and the local-density approximation, the thermodynamic properties of a weakly interacting Fermi gas in a strong magnetic filed are studied, the integrated analytical expressions of thermodynamic quantities of the system are derived, and the effects of magnetic field as well as interparticle interactions on the thermodynamic properties of the system are analyzed. It is shown that at both high and low temperatures, magnetic field may adjust the effects of interacting. At low temperatures, magnetic field can lower the chemical potential, total energy and heat capacity of the system compared with the situation of Fermi gas in the absence of the magnetic field. The repulsive interactions may increase the chemical potential, but reduce the total energy and heat capacity of the system compared with the situation of non-interacting Fermi gas. At high temperatures, magnetic field as well as repulsive interactions can reduce the total energy and increase heat capacity of the system, moreover, strong magnetic field may change the effects of interaction on the total energy and the heat capacity of the system.

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