中国物理B ›› 2005, Vol. 14 ›› Issue (2): 293-300.doi: 10.1088/1009-1963/14/2/013

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Parametric optimum design of an irreversible spin quantum refrigeration cycle

陈金灿1, 林比宏2   

  1. (1)Department of Physics, Xiamen University, Xiamen 361005, China; (2)Department of Physics, Xiamen University, Xiamen 361005, China; Department of Physics, Quanzhou Normal College, Quanzhou 362000, China
  • 收稿日期:2004-07-22 修回日期:2004-09-20 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported jointly by the Key Project Foundation of Science and Technology Research of Ministry of Education of China and by the Science and Technology Programme (Grant No JA03153) of Fujian's Education Department of China.

Parametric optimum design of an irreversible spin quantum refrigeration cycle

Lin Bi-Hong (林比宏)ab, Chen Jin-Can (陈金灿)a   

  1. a Department of Physics, Xiamen University, Xiamen 361005, China; b Department of Physics, Quanzhou Normal College, Quanzhou 362000, China
  • Received:2004-07-22 Revised:2004-09-20 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported jointly by the Key Project Foundation of Science and Technology Research of Ministry of Education of China and by the Science and Technology Programme (Grant No JA03153) of Fujian's Education Department of China.

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摘要： The general performance characteristics of an irreversible quantum refrigeration cycle using many non-interacting spin-1/2 systems as the working substance and consisting of two adiabatic and two isomagnetic field processes are investigated, based on the quantum master equation and semi-group approach. Expressions for several important performance parameters such as the coefficient of performance, cooling rate and power input are derived. By using numerical solutions, the cooling rate of the refrigeration cycle subject to the finite cycle duration is optimized. The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal region of the coefficient of performance and the optimal ranges of the temperatures of the working substance and the times spent on the two isomagnetic field processes are determined. Moreover, the optimal performance of the cycle in the high-temperature limit is also analysed in detail. The results obtained here are further generalized, so that they may be directly used to describe the performance of the quantum refrigeration cycle using spin-J systems as the working substance.

关键词: quantum refrigeration cycles, quantum master equation, parametric optimum design

Abstract: The general performance characteristics of an irreversible quantum refrigeration cycle using many non-interacting spin-1/2 systems as the working substance and consisting of two adiabatic and two isomagnetic field processes are investigated, based on the quantum master equation and semi-group approach. Expressions for several important performance parameters such as the coefficient of performance, cooling rate and power input are derived. By using numerical solutions, the cooling rate of the refrigeration cycle subject to the finite cycle duration is optimized. The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal region of the coefficient of performance and the optimal ranges of the temperatures of the working substance and the times spent on the two isomagnetic field processes are determined. Moreover, the optimal performance of the cycle in the high-temperature limit is also analysed in detail. The results obtained here are further generalized, so that they may be directly used to describe the performance of the quantum refrigeration cycle using spin-J systems as the working substance.

Key words: quantum refrigeration cycles, quantum master equation, parametric optimum design

中图分类号:  (Cryogenics; refrigerators, low-temperature detectors, and other low-temperature equipment)

  • 07.20.Mc
03.65.-w (Quantum mechanics) 05.70.Ce (Thermodynamic functions and equations of state)