论文标题

由于对速率矩阵依赖性的限制,在多部分过程中的速率矩阵依赖性限制引起的最小熵产生

Minimal entropy production due to constraints on rate matrix dependencies in multipartite processes

论文作者

Wolpert, David H

论文摘要

我考虑了每个子系统速率矩阵上存在约束的多部分过程,从而限制了其他子系统可以直接影响其动态。我根据这些限制对其子系统的速率矩阵的最低限制熵生产率进行了严格的非零下限。该界限是基于构建反事实率矩阵的,其中某些子系统被固定在允许进化的同时固定。该界限与固定两分系统的“学习率”有关,更普遍地与两部分系统中的“信息流”有关。

I consider multipartite processes in which there are constraints on each subsystem's rate matrix, restricting which other subsystems can directly affect its dynamics. I derive a strictly nonzero lower bound on the minimal achievable entropy production rate of the process in terms of these constraints on the rate matrices of its subsystems. The bound is based on constructing counterfactual rate matrices, in which some subsystems are held fixed while the others are allowed to evolve. This bound is related to the "learning rate" of stationary bipartite systems, and more generally to the "information flow" in bipartite systems.

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