以一维谐振子势阱中的单粒子为工质的量子热机性能分析

王建辉; 熊双泉; 何济洲; 刘江涛

doi:10.7498/aps.61.080509

摘要

建立了以一维谐振子势阱中的单粒子为工质的量子热机模型.当势阱壁宽度和粒子的量子态缓慢改变时, 该热机类似于经典卡诺热机对外做功.假设势阱壁移动速度非常缓慢并且考虑热漏, 推导出量子热机循环的输出功率和效率等重要性能参数的一般表达式.通过优化分析, 获得了热机循环中各主要性能参数的最佳优化值和优化区间.

关键词:

A heat engine model of a sing particle confined in a one-dimensional harmonic trap is established. The model, as a quantum-mechanical analog of the Carnot engine, does work to outside when both the width of the potential and the quantum state change very slowly. On the assumption that the width of the potential moves at a very slow speed and the heat leakage is included, we derive the general expressions for several performance parameters, such as work, power output, efficiency, etc. We find the optimally operating regions and the optimal values of performance parameters of the heat engine cycle.

Keywords:

作者及机构信息

1.
南昌大学物理系, 南昌 330031

基金项目: 国家自然科学基金(批准号: 11147200, 11065008, 10904059)资助的课题.

Authors and contacts

1.
Department of Physics, Nanchang University, Nanchang 330031, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11147200, 11065008, 10904059).

参考文献

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[12]	Quan H T, Liu Y X, Sun C P, Nori F 2007 Phys. Rev. E 76 031105
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[14]	Abe S 2011 Phys. Rev. E 83 04111
[15]	Henrich M J, Mahler G, Michel M 2007 Phys. Rev. E 75 051118
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[17]	Wu F, Chen L G, Sun F R, Wu C, Guo F Z 2006 J. Appl. Phys. 99 054904
[18]	Wang X M, He J Z, He X, Xiao Y L 2010 Acta Phys. Sin. 59 4460 (in Chinese) [王秀梅, 何济洲, 何弦, 肖宇玲 2010 物理学报 59 4460]
[19]	He J Z, He B X 2010 Acta Phys. Sin. 59 2345 (in Chinese) [何济洲, 贺兵香 2010 物理学报 59 2345]
[20]	He J Z, He B X 2010 Acta Phys. Sin. 59 101 (in Chinese) [何济洲, 贺兵香 2010 物理学报 59 101]
[21]	Wang X M, He J Z,Wang J H 2008 Acta Electron. Sin. 36 2178 (in Chinese) [王小敏, 何济洲, 王建辉 2008 电子学报 36 2178]
[22]	Liu X W, Chen L G, Wu F, Sun F R 2010 Phys. Scr. 81 025003
[23]	Liu X W, Chen L G, Wu F, Sun F R 2009 Sci. China G 52 1976
[24]	Lin B H, Chen J C 2005 J. Phys. A 38 69
[25]	Zeng J Y 2001 Quantum Mechanics (Vol. 2) (4th ed) (Beijing: Science Press) pp203---205 (in Chinese) [曾谨言 2001 量子力学(卷二) (第四版) (北京: 科学出版社) 第203---205页]
[26]	Xiong H W, Liu S J, Huang G X, Xu Z X 2002 Phys. Rev. A 65 033609
[27]	Wang J H, He J Z, He X 2011 Phys. Rev. E 84 041127

施引文献

[1]	Scovil H E D, Schulz-Dubois E O 1959 Phys. Rev. Lett. 2 262
[2]	Scully M O 2001 Phys. Rev. Lett. 87 220601
[3]	Scully M O 2002 Phys. Rev. Lett. 88 050602
[4]	Bender C M, Brody D C, Meister B K 2000 J. Phys. A 33 4427
[5]	Quan H T 2009 Phys. Rev. E 79 041129
[6]	Scully M O, Zubairy M S, Agarwal G S, Walther H 2003 Science 299 862
[7]	He J Z, Chen J C, Hua B 2002 Phys. Rev. E 65 036145
[8]	Wu F, Chen L G, Sun F R, Wu C, Li Q 2006 Phys. Rev. E 73 016103
[9]	Feldmann T, Kosloff R 2000 Phys. Rev. E 61 4774
[10]	Wu F, Chen L G, Wu S, Sun F R, Wu C 2006 J. Chem. Phys. 124 214702
[11]	Wang J H, He J Z, Mao Z Y 2007 Sci. China G 50 163
[12]	Quan H T, Liu Y X, Sun C P, Nori F 2007 Phys. Rev. E 76 031105
[13]	Quan H T, Zhang P, Sun C P 2006 Phys. Rev. E 73 036122
[14]	Abe S 2011 Phys. Rev. E 83 04111
[15]	Henrich M J, Mahler G, Michel M 2007 Phys. Rev. E 75 051118
[16]	He J Z, Wang J H, Deng X F 2010 Int. J. Mod. Phys. B 24 4595
[17]	Wu F, Chen L G, Sun F R, Wu C, Guo F Z 2006 J. Appl. Phys. 99 054904
[18]	Wang X M, He J Z, He X, Xiao Y L 2010 Acta Phys. Sin. 59 4460 (in Chinese) [王秀梅, 何济洲, 何弦, 肖宇玲 2010 物理学报 59 4460]
[19]	He J Z, He B X 2010 Acta Phys. Sin. 59 2345 (in Chinese) [何济洲, 贺兵香 2010 物理学报 59 2345]
[20]	He J Z, He B X 2010 Acta Phys. Sin. 59 101 (in Chinese) [何济洲, 贺兵香 2010 物理学报 59 101]
[21]	Wang X M, He J Z,Wang J H 2008 Acta Electron. Sin. 36 2178 (in Chinese) [王小敏, 何济洲, 王建辉 2008 电子学报 36 2178]
[22]	Liu X W, Chen L G, Wu F, Sun F R 2010 Phys. Scr. 81 025003
[23]	Liu X W, Chen L G, Wu F, Sun F R 2009 Sci. China G 52 1976
[24]	Lin B H, Chen J C 2005 J. Phys. A 38 69
[25]	Zeng J Y 2001 Quantum Mechanics (Vol. 2) (4th ed) (Beijing: Science Press) pp203---205 (in Chinese) [曾谨言 2001 量子力学(卷二) (第四版) (北京: 科学出版社) 第203---205页]
[26]	Xiong H W, Liu S J, Huang G X, Xu Z X 2002 Phys. Rev. A 65 033609
[27]	Wang J H, He J Z, He X 2011 Phys. Rev. E 84 041127

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