论文标题
熵产生的几何分解分解为过量，管家和耦合零件
Geometric decomposition of entropy production into excess, housekeeping and coupling parts
论文作者
论文摘要
对于由时间依赖性和非保守力驱动的一般性过度引导的Langevin动力学，可以将熵的生产速率分解为两个正术语，称为过量和管家熵。但是，这种分解不是唯一的：有两个不同的分解，一个是由于Hatano和Sasa，另一个是由于Maes和Netočny而引起的。在这里，我们在这两个分解之间建立了联系，并提供了简单的几何解释。我们表明，这将熵生产率分解为三个积极的术语，分别称为过量，家政和耦合部分。耦合部分表征了时间依赖性和非保守力之间的相互作用。我们还得出了Hatano-Sasa和Maes-Netočny分类的过量和管家熵的热力学不确定性关系，并表明所有数量都符合整体波动定理。我们使用在非保守力场中的拖动粒子的可解决示例说明了分解为三个术语。
For a generic overdamped Langevin dynamics driven out of equilibrium by both time-dependent and nonconservative forces, the entropy production rate can be decomposed into two positive terms, termed excess and housekeeping entropy. However, this decomposition is not unique: There are two distinct decompositions, one due to Hatano and Sasa, the other one due to Maes and Netočny. Here, we establish the connection between these two decompositions and provide a simple, geometric interpretation. We show that this leads to a decomposition of the entropy production rate into three positive terms, which we call excess, housekeeping and coupling part, respectively. The coupling part characterizes the interplay between the time-dependent and nonconservative forces. We also derive thermodynamic uncertainty relations for the excess and housekeeping entropy in both the Hatano-Sasa and Maes-Netočny-decomposition and show that all quantities obey integral fluctuation theorems. We illustrate the decomposition into three terms using a solvable example of a dragged particle in a nonconservative force field.
