论文标题
在较小温度差异方面,卡诺效率与有限功率的兼容性与有限功率的兼容性
Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime
论文作者
论文摘要
我们研究了在有限的启动不足的布朗尼亚语循环中实现Carnot效率的可能性。最近,据报道,在松弛时间消失的限制中,可以在一般的有限驱动器卡诺循环中实现Carnot效率。因此,澄清效率和功率如何通过使用特定模型取决于放松时间可能会很有趣。通过评估瞬时绝热过程中阻尼不足的动力学中的热裂变效应,我们证明了在小温度差异方案中,在松弛时间消失的限制中,Carnot效率和有限功率的兼容性是实现的。此外,我们表明,通过明确推导我们在放松时期的周期之间的关系,这一结果与权力和效率之间的权衡关系一致。
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.