Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime

Kosuke Miura, Yuki Izumida, and Koji Okuda
Phys. Rev. E 103, 042125 – Published 15 April 2021

Abstract

We study the possibility of achieving the Carnot efficiency in a finite-power underdamped Brownian Carnot cycle. Recently, it was reported that the Carnot efficiency is achievable in a general class of finite-power Carnot cycles in the vanishing limit of the relaxation times. Thus, it may be interesting to clarify how the efficiency and power depend on the relaxation times by using a specific model. By evaluating the heat-leakage effect intrinsic in the underdamped dynamics with the instantaneous adiabatic processes, we demonstrate that the compatibility of the Carnot efficiency and finite power is achieved in the vanishing limit of the relaxation times in the small temperature-difference regime. Furthermore, we show that this result is consistent with a trade-off relation between power and efficiency by explicitly deriving the relation of our cycle in terms of the relaxation times.

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  • Received 23 November 2020
  • Revised 7 January 2021
  • Accepted 23 March 2021

DOI:https://doi.org/10.1103/PhysRevE.103.042125

©2021 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Kosuke Miura1, Yuki Izumida2, and Koji Okuda1

  • 1Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
  • 2Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, The University of Tokyo, Kashiwa 277-8561, Japan

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Issue

Vol. 103, Iss. 4 — April 2021

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