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