Housekeeping and excess entropy production for general nonlinear dynamics
Housekeeping and excess entropy production for general nonlinear dynamics
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一般非线性动力学的内务管理和超额熵产生
DOI：
10.1103/physrevresearch.5.013017
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发表时间：
2022-05
影响因子：
4.2
通讯作者：
K. Yoshimura;Artemy Kolchinsky;A. Dechant;Sosuke Ito
中科院分区：
文献类型：
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作者：
K. Yoshimura;Artemy Kolchinsky;A. Dechant;Sosuke Ito
对于离散空间中的一般非线性动力学，包括化学反应网络和离散随机系统，我们提出了一种熵产生的内务/过量分解。我们利用热力学的几何结构来定义分解；这不依赖于稳态的概念，甚至适用于表现出多稳定性、极限环和混沌的系统。在分解中，动力学的不同方面分别对熵产生做出贡献：内务部分源于外部驱动的循环模式，将Schnakenberg的循环分解推广到非稳态，而多余的部分源于保守力产生的瞬时松弛模式。我们的分解改进了以前已知的热力学不确定关系和速度限制。特别是，它不仅改进了最优传输理论的速度极限，而且将离散系统的最优传输理论推广到了非线性和非保守的环境中。
We propose a housekeeping/excess decomposition of entropy production for general nonlinear dynamics in a discrete space, including chemical reaction networks and discrete stochastic systems. We exploit the geometric structure of thermodynamic forces to define the decomposition; this does not rely on the notion of a steady state, and even applies to systems that exhibit multistability, limit cycles, and chaos. In the decomposition, distinct aspects of the dynamics contribute separately to entropy production: the housekeeping part stems from a cyclic mode that arises from external driving, generalizing Schnakenberg's cyclic decomposition to non-steady states, while the excess part stems from an instantaneous relaxation mode that arises from conservative forces. Our decomposition refines previously known thermodynamic uncertainty relations and speed limits. In particular, it not only improves an optimal-transport-theoretic speed limit, but also extends the optimal transport theory of discrete systems to nonlinear and nonconservative settings.