Preprint Article Version 1 This version is not peer-reviewed

Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production

Version 1 : Received: 9 October 2017 / Approved: 11 October 2017 / Online: 11 October 2017 (02:45:05 CEST)
Version 2 : Received: 27 November 2017 / Approved: 27 November 2017 / Online: 27 November 2017 (07:57:19 CET)

A peer-reviewed article of this Preprint also exists.

Zeng, Q.; Wang, J. Information Landscape and Flux, Mutual Information Rate Decomposition and Connections to Entropy Production. Entropy 2017, 19, 678. Zeng, Q.; Wang, J. Information Landscape and Flux, Mutual Information Rate Decomposition and Connections to Entropy Production. Entropy 2017, 19, 678.

Journal reference: Entropy 2017, 19, 678
DOI: 10.3390/e19120678

Abstract

We explore the dynamics of information systems. We show that the driving force for information dynamics is determined by both the information landscape and information flux which determines the equilibrium time reversible and the nonequilibrium time-irreversible behaviours of the system respectively. We further demonstrate that the mutual information rate between the two subsystems can be decomposed into the time-reversible and time-irreversible parts respectively, analogous to the information landscape-flux decomposition for dynamics. Finally, we uncover the intimate relation between the nonequilibrium thermodynamics in terms of the entropy production rates and the time-irreversible part of the mutual information rate. We demonstrate the above features by the dynamics of a bivariate Markov chain.

Subject Areas

nonequilibrium thermodynamics; landscape-flux decomposition; mutual information rate; entropy production rate

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