Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production
arXiv:1707.01940 · 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.
arXiv comment16 pages
References in corpus (12)
- On-chip Maxwell's demon as an information-powered refrigerator
- Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
- Thermodynamics of a physical model implementing a Maxwell demon
- Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
- Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
- Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
- Biochemical machines for the interconversion of mutual information and work
- Potential and Flux Decomposition for Dynamical Systems and Non-Equilibrium Thermodynamics: Curvature, Gauge Field and Generalized Fluctuation-Dissipation Theorem
- Nonequilibrium thermodynamics as a gauge theory
- Rate of mutual information between coarse-grained non-Markovian variables
- Curl flux, coherence, and population landscape of molecular systems: Nonequilibrium quantum steady state, energy (charge) transport, and thermodynamics
- Funneled Potential and Flux Landscapes Dictate the Stabilities of both the States and the Flow: Fission Yeast Cell Cycle