| 以自旋系统为工质的量子卡诺制冷循环的优化性能 |
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| 引用本文： | 潘良斌,林比宏.以自旋系统为工质的量子卡诺制冷循环的优化性能[J].漳州师范学院学报,2003,16(3):33-41. |
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| 作者姓名： | 潘良斌 林比宏 |
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| 作者单位： | [1]泉州师范学院高等职业技术学院，福建泉州362000 [2]泉州师范学院物理系，福建泉州362000 |
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| 摘 要： | 建立以无相互作用的自旋为1/2的粒子组成的自旋系统为工质，由两个绝热和两个等温过程组成的量子卡诺制冷循环模型。应用量子主方程和半群逼近，研究了循环的一般性能特性，导出了制冷循环的制冷系数、制冷率和输入功三个重要参数的一般表达式。特别是详细讨论了在高温极限下自旋量子卡诺制冷循环优化性能，导出了最大制冷率和相应的制冷系数。所得结论可为低温制冷机的优化设计提供理论基础。
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| 关 键 词： | 量子卡诺制冷循环 优化性能 自旋系统 量子主方程 制冷率 制冷系数 输入功 量子热力学循环 工质 |
| 文章编号： | 1008-7826(2003)03-0033-09 |
| 修稿时间： | 2003年5月12日 |
The Optimal performance of a quantum Carnot refrigeration cycle working with spin systems |
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| PAN Liang-bin,LIN Bi-hong.The Optimal performance of a quantum Carnot refrigeration cycle working with spin systems[J].Journal of ZhangZhou Teachers College(Natural Science),2003,16(3):33-41. |
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| Authors: | PAN Liang-bin LIN Bi-hong |
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| Abstract: | The cycle model of a quantum Carnot refrigeration cycle working with many non-interacting spin-1/2 systems and consisting of two isothermal and two adiabatic processes is established. Based on the quantum master equation and semi-group approach, the general performance of the cycle is investigated. Expressions for some important performance parameters, such as the coefficient of performance, cooling rate, and power input, are derived. Especially, the optimal performance of the cycle in high-temperature limit is discussed in detail. The maximum cooling rate and the corresponding coefficient of performance are calculated. The results obtained here can provide some new theoretical bases for the optimal design of refrigerators in the low-temperature. |
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| Keywords: | Spin system Quantum Carnot refrigeration cycle Quantum master equation Cooling rate Coefficient of performance |
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