Geometric decomposition of entropy production in out-of-equilibrium systems
Geometric decomposition of entropy production in out-of-equilibrium systems
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DOI：
10.1103/physrevresearch.4.l012034
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发表时间：
2022-03-18
影响因子：
4.2
通讯作者：
Ito, Sosuke
中科院分区：
文献类型：
--
作者：
Dechant, Andreas;Sasa, Shin-ichi;Ito, Sosuke
使一个物理系统脱离平衡的两种性质不同的方式，即，时间依赖和非保守强迫，反映了系统的熵生产分解成过剩和内务部分。我们表明，这两种类型的驱动之间的差异引起的几何制剂中的两个正交的贡献，在系统中的电流。这种几何图像以自然的方式导致超额熵和内务熵的变分表达式，这允许独立于系统的轨迹数据来计算这两个贡献。我们证明了这一点，通过计算一个粒子的过剩和管家熵的时间依赖性，倾斜的周期性电位。
Two qualitatively different ways of driving a physical system out of equilibrium, i.e., time-dependent and nonconservative forcing, are reflected by the decomposition of the system's entropy production into excess and housekeeping parts. We show that the difference between these two types of driving gives rise to a geometric formulation in terms of two orthogonal contributions to the currents in the system. This geometric picture in a natural way leads to variational expressions for both the excess and housekeeping entropy, which allow calculating both contributions independently from the trajectory data of the system. We demonstrate this by calculating the excess and housekeeping entropy of a particle in a time-dependent, tilted periodic potential.