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Taking the anomalous magnetic moment into consideration, the analytical expression of the free energy for a weakly interacting Fermi gas in a weak magnetic field is derived by using the pseudopotential method and thermodynamic theory, therefore the thermodynamic properties can be studied. Based on the derived expression, the thermodynamic properties of this system at both high and low temperatures are given, and the effect of anomalous magnetic moment on thermodynamic properties can be analyzed. The effect of anomalous magnetic moment on the thermodynamic properties is related to temperature, and with the rise of temperature this effect increases in the low temperature zone, but decreases in the high temperature zone. For the chemical potential and internal energy of the system, the anomalous magnetic moment strengthens the influence of the magnetic field, but weakens the influence of the interaction. Under the influence of anomalous magnetic moment, the heat capacity of the system decreases in the low temperature zone, but increases in the high temperature zone.
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Keywords:
- anomalous magnetic moment /
- Fermi gas /
- interaction /
- thermodynamic property
[1] Nafe J E, Nelson E B, Rabi I I 1947 Phys. Rev. 71 914
[2] Schwinger J 1947 Phys. Rev. 73 416
[3] Khalilov V R 2002 Phys. Rev. D 65 056001
[4] Liou M K, Penninga T D, Timmermans R G E, Gibson B F 2004 Phys. Rev. C 69 011001
[5] Qiong G L 2005 Phys. Rev. A 72 042103
[6] Huang K, Yang C N 1956 Phys. Rev. 105 767
[7] Huang K, Yang C N, Luttinger J M 1956 Phys. Rev. 105 776
[8] Lee T D, Huang K, Yang C N 1957 Phys. Rev. 106 1135
[9] Lee T D, Yang C N 1958 Phys. Rev. 112 1419
[10] Shi H L, Zheng W M 1998 Physica A 258 303
[11] Wang C, Yan K Z 2004 Acta Phys. Sin. 53 1284 (in Chinese) [王忡, 闫珂柱 2004 物理学报 53 1284]
[12] Su G Z, Chen L X 2003 College Phys. 22 8 (in Chinese) [苏国珍, 陈丽璇 2003 大学物理 22 8]
[13] Su G Z, Xiong H, Chen L X 2003 J. Xiamen Univ. (Nat. Sci.) 42 449 (in Chinese) [苏国珍, 熊辉, 陈丽璇 2003 厦门大学学报(自然科学版) 42 449]
[14] Xiong H, Su G Z, Chen L X 2002 J. Xiamen Univ. (Nat. Sci.) 41 177 (in Chinese) [熊辉, 苏国珍, 陈丽璇 2002 厦门大学学报(自然科学版) 41 177]
[15] 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]
[16] Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese) [门福殿 2006 物理学报 55 1622]
[17] Men F D, Liu H, Zhu H Y, L L 2007 J. At. Mol. Phys. 24 1326
[18] Huang K 1987 Statistical Mechanics (New York: Wiley) pp224-274
[19] O'Connell R F 1968 Phys. Rev. Lett. 21 397
[20] Pathria R K 1972 Statistical Mechanics (Oxford, New York, Yoronto, Sydney, Braunschweig: Pergamon Press) pp215-300
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[1] Nafe J E, Nelson E B, Rabi I I 1947 Phys. Rev. 71 914
[2] Schwinger J 1947 Phys. Rev. 73 416
[3] Khalilov V R 2002 Phys. Rev. D 65 056001
[4] Liou M K, Penninga T D, Timmermans R G E, Gibson B F 2004 Phys. Rev. C 69 011001
[5] Qiong G L 2005 Phys. Rev. A 72 042103
[6] Huang K, Yang C N 1956 Phys. Rev. 105 767
[7] Huang K, Yang C N, Luttinger J M 1956 Phys. Rev. 105 776
[8] Lee T D, Huang K, Yang C N 1957 Phys. Rev. 106 1135
[9] Lee T D, Yang C N 1958 Phys. Rev. 112 1419
[10] Shi H L, Zheng W M 1998 Physica A 258 303
[11] Wang C, Yan K Z 2004 Acta Phys. Sin. 53 1284 (in Chinese) [王忡, 闫珂柱 2004 物理学报 53 1284]
[12] Su G Z, Chen L X 2003 College Phys. 22 8 (in Chinese) [苏国珍, 陈丽璇 2003 大学物理 22 8]
[13] Su G Z, Xiong H, Chen L X 2003 J. Xiamen Univ. (Nat. Sci.) 42 449 (in Chinese) [苏国珍, 熊辉, 陈丽璇 2003 厦门大学学报(自然科学版) 42 449]
[14] Xiong H, Su G Z, Chen L X 2002 J. Xiamen Univ. (Nat. Sci.) 41 177 (in Chinese) [熊辉, 苏国珍, 陈丽璇 2002 厦门大学学报(自然科学版) 41 177]
[15] 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]
[16] Men F D 2006 Acta Phys. Sin. 55 1622 (in Chinese) [门福殿 2006 物理学报 55 1622]
[17] Men F D, Liu H, Zhu H Y, L L 2007 J. At. Mol. Phys. 24 1326
[18] Huang K 1987 Statistical Mechanics (New York: Wiley) pp224-274
[19] O'Connell R F 1968 Phys. Rev. Lett. 21 397
[20] Pathria R K 1972 Statistical Mechanics (Oxford, New York, Yoronto, Sydney, Braunschweig: Pergamon Press) pp215-300
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