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Information Thermodynamics on Causal Networks

2013/06/30 by Sosuke Ito, Takahiro Sagawa · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.111.180603

published as Phys. Rev. Lett. Lett. 111, 180603 (2013) · 11pages, 8 figures

arxiv created 2013/11/06 · arxiv updated 2013/11/07

Abstract

We study nonequilibrium thermodynamics of complex information flows induced by interactions between multiple fluctuating systems. Characterizing nonequilibrium dynamics by causal networks (i.e., Bayesian networks), we obtain novel generalizations of the second law of thermodynamics and the fluctuation theorem, which include an informational quantity characterized by the topology of the causal network. Our result implies that the entropy production in a single system in the presence of multiple other systems is bounded by the information flow between these systems. We demonstrate our general result by a simple model of biochemical adaptation.

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