中国物理B ›› 2009, Vol. 18 ›› Issue (3): 984-991.doi: 10.1088/1674-1056/18/3/023

• GENERAL • 上一篇    下一篇

Performance characteristics of an energy selective electron refrigerator with double resonances

王小敏, 何济洲, 唐威   

  1. Department of Physics, Nanchang University, Nanchang 330047, China
  • 收稿日期:2008-04-10 修回日期:2008-08-21 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant No 10765004) and Science and Technology Foundation of Jiangxi Education Bureau, China.

Performance characteristics of an energy selective electron refrigerator with double resonances

Wang Xiao-Min(王小敏), He Ji-Zhou(何济洲)†, and Tang Wei(唐威)   

  1. Department of Physics, Nanchang University, Nanchang 330047, China
  • Received:2008-04-10 Revised:2008-08-21 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant No 10765004) and Science and Technology Foundation of Jiangxi Education Bureau, China.

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摘要： This paper establishes the energy selective electron (ESE) engine with double resonances as a refrigerator in one dimensional (1D) system. It consists of two infinitely large electron reservoirs with different temperatures and chemical potentials, and they are perfectly thermally insulated from each other and interaction only via a double `idealized energy filter' whose widths are all finite. Taking advantage of the density of state and Fermi distribution in the 1D system, the heat flux into each reservoir may then be calculated. Moreover, the coefficient of performance may be derived from the expressions for the heat flux into the hot and cold reservoirs. The performance characteristic curves are plotted by numerical analysis. The influences of the resonances widths, the energy position of resonance and the space of two resonances on performance of the ESE refrigerator are discussed. The results obtained here have theoretical significance for the understanding of thermodynamic performance of the micro--nano devices.

Abstract: This paper establishes the energy selective electron (ESE) engine with double resonances as a refrigerator in one dimensional (1D) system. It consists of two infinitely large electron reservoirs with different temperatures and chemical potentials, and they are perfectly thermally insulated from each other and interaction only via a double `idealized energy filter' whose widths are all finite. Taking advantage of the density of state and Fermi distribution in the 1D system, the heat flux into each reservoir may then be calculated. Moreover, the coefficient of performance may be derived from the expressions for the heat flux into the hot and cold reservoirs. The performance characteristic curves are plotted by numerical analysis. The influences of the resonances widths, the energy position of resonance and the space of two resonances on performance of the ESE refrigerator are discussed. The results obtained here have theoretical significance for the understanding of thermodynamic performance of the micro--nano devices.

Key words: electron transport, double resonances, ESE refrigerator, performance parameter

中图分类号: 

  • 65.80.+n
07.20.Mc (Cryogenics; refrigerators, low-temperature detectors, and other low-temperature equipment) 07.20.Pe (Heat engines; heat pumps; heat pipes)