Geometric decomposition of entropy production into excess, housekeeping, and coupling parts
Geometric decomposition of entropy production into excess, housekeeping, and coupling parts
复制标题
将熵产生几何分解为过剩部分、内务部分和耦合部分
DOI：
10.1103/physreve.106.024125
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发表时间：
2022
影响因子：
2.4
通讯作者：
Sosuke Ito
中科院分区：
文献类型：
--
作者：
Andreas Dechant;Shin-ichi Sasa;Sosuke Ito
对于一般的过阻尼朗之万动力学，在依赖于时间的力和非保守力的作用下，熵产生率可以分解为两个正项，称为过剩熵和管家熵。然而，这种分解并不是唯一的：有两种不同的分解，一种是由于波多野和萨沙，另一种是由于Maes和Netočn。在这里，我们建立了这两个分解之间的联系，并提供了一个简单的几何解释。我们表明，这导致分解的熵产生率为三个积极的条款，我们称之为过剩，内务，耦合部分，分别。耦合部分描述了时间相关力和非保守力之间的相互作用。我们还推导出热力学的不确定性关系的过剩和内务熵的Hatano-Sasa和Maes-Netočnovich分解，并表明，所有的数量服从积分涨落定理。我们说明了分解成三个条款使用一个可解的例子，在一个非保守力场的拖动粒子。
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 Netočný. 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 the 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-Netočný 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.