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.
16 pages
References in corpus (4)
- Thermodynamics of a physical model implementing a Maxwell demon
- Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
- Biochemical machines for the interconversion of mutual information and work
- Funneled Potential and Flux Landscapes Dictate the Stabilities of both the States and the Flow: Fission Yeast Cell Cycle