ork Fluctuation-Dissipation Trade-Off in Heat Engines
ork Fluctuation-Dissipation Trade-Off in Heat Engines
复制标题
热机中的工作波动与耗散权衡
DOI：
10.1103/physrevlett.115.260601
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Ken Funo and Masahito Ueda
中科院分区：
文献类型：
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作者：
上町 正志;川勝 年洋;VACHA Martin;Ken Funo and Masahito Ueda
减少热机或更一般地执行反馈控制的信息热机中的功波动和耗散对于最大化其效率至关重要。当我们试图最大化给定热力学任务的效率时，也会出现同样的问题，该任务经历了任意初始和最终状态的非平衡过程。我们发现，适用于任意非平衡过程的工作波动和耗散之间的最一般的权衡关系是有界的从下面的信息距离表征多远的系统是从热平衡。最小的耗散量被发现是在相对熵和Renyi散度，这两个量化的系统的状态和正则分布之间的信息距离。我们给出了一个明确的协议，实现了基本的下限的权衡关系。
Reducing work fluctuation and dissipation in heat engines or, more generally, information heat engines that perform feedback control, is vital to maximize their efficiency. The same problem arises when we attempt to maximize the efficiency of a given thermodynamic task that undergoes nonequilibrium processes for arbitrary initial and final states. We find that the most general trade-off relation between work fluctuation and dissipation applicable to arbitrary nonequilibrium processes is bounded from below by the information distance characterizing how far the system is from thermal equilibrium. The minimum amount of dissipation is found to be given in terms of the relative entropy and the Renyi divergence, both of which quantify the information distance between the state of the system and the canonical distribution. We give an explicit protocol that achieves the fundamental lower bound of the trade-off relation.