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Coefficient of Performance at Maximum χ-Criterion for Feynman Ratchet as a Refrigerator
Authors:SHENG Shi-Qi  YANG Pan  TU Zhan-Chun
Affiliation:1. Department of Physics, Beijing Normal University, Beijing 100875, China;2. Kavli Institute for Theoretical Physics China, the Chinese Academy of Sciences, Beijing 100190, China
Abstract:
The χ-criterion is defined as the product of the energy conversion efficiency and the heat absorbed per unit time by the working substance [de Tomás et al., Phys. Rev. E 85 (2012) 010104(R)]. The χ-criterion for Feynman ratchet as a refrigerator operating between two heat baths is optimized. Asymptotic solutions of the coefficient of performance at maximum χ-criterion for Feynman ratchet are investigated at both large and small temperature difference. An interpolation formula, which fits the numerical solution very well, is proposed. Besides, the sufficient condition for the universality of the coefficient of performance at maximum χ is investigated.
Keywords:Feynman ratchet  refrigerator  coefficient of performance  χ-criterion  universal COP  
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