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

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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Cited by in corpus (6)

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• Achieving Carnot efficiency in a finite-power Brownian Carnot cycle with arbitrary temperature difference
• Maximum Power of Coupled-Qubit Otto Engines
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Lower Bound of Entropy Production in an Underdamped Langevin System with Normal Distributions