Information Thermodynamics on Causal Networks

Information Thermodynamics on Causal Networks

 Sosuke Ito1 and Takahiro Sagawa2 1Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan 2Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan (Dated: November 7, 2013)

 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.

PACS numbers: 05.20.-y, 05.40.Jc, 05.70.Ln, 89.70.-a

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http://arxiv.org/pdf/1306.2756.pdf