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贝叶斯网络的不确定性关系与涨落定理

Uncertainty Relations and Fluctuation Theorems for Bayes Nets.

作者信息

Wolpert David H

机构信息

Santa Fe Institute, Santa Fe, New Mexico Complexity Science Hub, Vienna Arizona State University, Tempe, Arizona 87501, USA.

出版信息

Phys Rev Lett. 2020 Nov 13;125(20):200602. doi: 10.1103/PhysRevLett.125.200602.

DOI:10.1103/PhysRevLett.125.200602
PMID:33258647
Abstract

Recent research has considered the stochastic thermodynamics of multiple interacting systems, representing the overall system as a Bayes net. I derive fluctuation theorems governing the entropy production (EP) of arbitrary sets of the systems in such a Bayes net. I also derive "conditional" fluctuation theorems, governing the distribution of EP in one set of systems conditioned on the EP of a different set of systems. I then derive thermodynamic uncertainty relations relating the EP of the overall system to the precisions of probability currents within the individual systems.

摘要

最近的研究考虑了多个相互作用系统的随机热力学,将整个系统表示为一个贝叶斯网络。我推导出了适用于此类贝叶斯网络中任意系统集的熵产生(EP)的涨落定理。我还推导出了“条件”涨落定理,该定理适用于一组系统的EP分布,条件是另一组系统的EP。然后,我推导出了热力学不确定性关系,该关系将整个系统的EP与各个系统内概率流的精度联系起来。

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