Coefficient of performance at maximum χ-criterion for Feynman ratchet as a refrigerator

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 χis investigated.

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• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators
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Cited by in corpus (4)

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• Feynman-Smoluchowski engine at high temperatures and the role of constraints
• Estimating performance of Feynman's ratchet with limited information
• Unattainability of Carnot efficiency in thermal motors: Coarse-graining and entropy production of Feynman-Smoluchowski ratchet