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应用分数不相容统计，研究了三维简谐势阱中有限unitary费米气体在绝对零度和有限温度下的热力学性质，并与势阱中满足热力学极限条件的unitary费米气体进行了比较. 结果表明：绝对零度时有限系统的费米能、粒子平均能量随粒子数的增加而增大，并以满足热力学极限系统的对应物理量为上限，有限系统的费米能、粒子平均能量随势阱边界变化存在极大值. 有限温度条件下给定粒子数时，有限系统的粒子平均能量、粒子平均熵、粒子平均热容量分别存在对应的特征温度，当温度等于物理量对应的特征温度时，有限系统与满足热力学极限系统的同一物理量相等，低于（或高于）物理量对应的特征温度时，有限系统的物理量将大于（或小于）满足热力学极限系统的同一量. 给定温度条件下，有限系统粒子平均能量、粒子平均熵、粒子平均热容量分别存在对应的特征粒子数，当粒子数等于物理量对应的特征粒子数时，有限系统与满足热力学极限系统的同一物理量相等，少于（或多于）物理量对应的特征粒子数时，有限系统的物理量将小于（或大于）满足热力学极限系统的同一量.
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关键词:
- 有限unitary费米气体 /
- 简谐势阱 /
- 粒子数效应 /
- 边界效应
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[3] Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag H J, Grimm R 2004 Phys. Rev. Lett. 92 120401
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[16] Wu Y S 1994 Phys. Rev. Lett. 73 922
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[22] Liu K, Chen J S 2011 Chin. Phys. B 20 020501
[23] Sevinli S, Tanatar B 2007 Phys. Lett. A 371 389
[24] Franco D, Stefano G, Lev P P, Sandro S 1999 Rev. Mod.Phys. 71 463
[25] Sisman A, Muller I 2004 Phys. Lett. A 320 360
[26] Sisman A 2004 J. Phys. A: Math. Gen. 37 11353
[27] Pang H, Dai W S, Xie M 2006 J. Phys. A: Math. Gen. 39 2563
[28] Dai W S, Xie M 2003 Phys. Lett. A 311 340
[29] Su D G, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[30] Yuan D Q 2014 Acta Phys. Sin. 63 170501 (in Chinese) [袁都奇 2014 物理学报 63 170501]
[31] Iguchi K 1997 Phys. Rev. Lett. 78 3233
[32] Hassan A S, EI-Badry A M 2009 Physica B 404 1947
[33] Ingold G L, Lambrecht A A 1998 Eur. Phys. J. D 1 29
-
[1] Regal C A, Greiner M, Jin D S 2004 Phys. Rev. Lett. 92 040403
[2] Bourdel T, Khaykovich L, Cubizolles J, Zhang J, Chevy F, Teichmann M, Tarruell L, Kokkelmans S J J M F, Salomon C 2004 Phys. Rev. Lett. 93 050401
[3] Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag H J, Grimm R 2004 Phys. Rev. Lett. 92 120401
[4] Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H, Ketterle W 2005 Nature 435 1047
[5] Romans M W J, Stoof H T C 2005 Phys. Rev. Lett. 95 260407
[6] Ho T L 2004 Phys. Rev. Lett. 92 090402
[7] Hu H, Drummond P D, Liu X J 2007 Nat. Phys. 3 469
[8] Luo L, Clancy B, Joseph J, Kinast J, Thomas J E 2007 Phys. Rev. Lett. 98 080402
[9] Kinast J, Turlapov A, Thomas J E, Chen Q J, Stajic J, Levin K 2005 Science 307 1296
[10] Luo L, Thomas J E 2009 J. Low Temp. Phys. 154 1
[11] Joseph J, Clancy B, Luo L, Kinast J, Turlapov A, Thomas J E 2007 Phys. Rev. Lett. 98 170401
[12] Papenbrock T 2005 Phys. Rev. A 72 041603
[13] Hu H, Liu X J, Drummond P D 2010 New J. Phys. 12 063038
[14] Bulgac A, Drut J E, Magierski P 2006 Phys. Rev. Lett. 96 090404
[15] Haldane F D M 1991 Phys. Rev. Lett. 67 937
[16] Wu Y S 1994 Phys. Rev. Lett. 73 922
[17] Bhaduri R K, Murthy M V N, Srivastava M K 2007 J. Phys. B: At. Mol. Opt. Phys. 40 1775
[18] Qin F, Chen J S 2009 Phys. Rev. A 79 043625
[19] Bhaduri R K, Murthy M V N, Brack M 2008 J. Phys. B : At. Mol. Opt. Phys. 41 115301
[20] Qin F, Chen J S 2010 J. Phys. B: At. Mol. Opt. Phys. 43 055302
[21] Qin F, Chen J S 2012 Phys. Lett. A 376 1191
[22] Liu K, Chen J S 2011 Chin. Phys. B 20 020501
[23] Sevinli S, Tanatar B 2007 Phys. Lett. A 371 389
[24] Franco D, Stefano G, Lev P P, Sandro S 1999 Rev. Mod.Phys. 71 463
[25] Sisman A, Muller I 2004 Phys. Lett. A 320 360
[26] Sisman A 2004 J. Phys. A: Math. Gen. 37 11353
[27] Pang H, Dai W S, Xie M 2006 J. Phys. A: Math. Gen. 39 2563
[28] Dai W S, Xie M 2003 Phys. Lett. A 311 340
[29] Su D G, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[30] Yuan D Q 2014 Acta Phys. Sin. 63 170501 (in Chinese) [袁都奇 2014 物理学报 63 170501]
[31] Iguchi K 1997 Phys. Rev. Lett. 78 3233
[32] Hassan A S, EI-Badry A M 2009 Physica B 404 1947
[33] Ingold G L, Lambrecht A A 1998 Eur. Phys. J. D 1 29
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