Information Thermodynamics on Causal Networks

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.

11pages, 8 figures

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Cited by in corpus (89)

• Broken detailed balance and non-equilibrium dynamics in living systems
• Thermodynamics with continuous information flow
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Semantic information, autonomous agency, and nonequilibrium statistical physics
• Thermodynamic costs of information processing in sensory adaption
• Efficiency of cellular information processing
• A unified framework for information integration based on information geometry
• Cost and Precision of Brownian Clocks
• Maxwell's demon in biochemical signal transduction with feedback loop
• Stochastic thermodynamics of computation
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Second-law-like inequalities with information and their interpretations
• Estimating entropy production by machine learning of short-time fluctuating currents
• Stochastic thermodynamic interpretation of information geometry
• Thermodynamic and Logical Reversibilities Revisited
• Stochastic time-evolution, information geometry and the Cramer-Rao Bound
• Quantum fluctuation theorems beyond two-point measurements
• Role of Mutual Information in Entropy Production under Information Exchanges
• Stochastic thermodynamics with information reservoirs
• Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
• Sensory capacity: an information theoretical measure of the performance of a sensor
• Multipartite information flow for multiple Maxwell demons
• Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
• Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets
• Thermodynamic Bound on the Asymmetry of Cross-Correlations
• Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
• Estimating time-dependent entropy production from non-equilibrium trajectories
• Role of measurement-feedback separation in autonomous Maxwell's demons
• Autonomous conversion of information to work in quantum dots
• Thermodynamic limits to information harvesting by sensory systems
• Optimal Efficiency of Heat Engines with Finite-Size Heat Baths
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Thermodynamics of computing with circuits
• Measurement-based Formulation of Quantum Heat Engine
• Understanding causation via correlations and linear response theory
• Hidden Markov models for stochastic thermodynamics
• Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
• Experimental assessment of entropy production in a continuously measured mechanical resonator
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• Information Geometric Inequalities of Chemical Thermodynamics
• Geometric decomposition of entropy production into excess, housekeeping and coupling parts
• Uncertainty relations and fluctuation theorems for Bayes nets
• Backward transfer entropy: Informational measure for detecting hidden Markov models and its interpretations in thermodynamics, gambling and causality
• Marginal and Conditional Second Laws of Thermodynamics
• Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines
• Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
• Information thermodynamics for interacting stochastic systems without bipartite structure
• Continuous information flow fluctuations
• Unified framework for the entropy production and the stochastic interaction based on information geometry
• Information flow, Gating, and Energetics in dimeric molecular motors
• Thermodynamic aspects of information transfer in complex dynamical systems
• Informational steady-states and conditional entropy production in continuously monitored systems
• Stochastic thermodynamics with arbitrary interventions
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Role of sufficient statistics in stochastic thermodynamics and its implication to sensory adaptation
• Quantum Jarzynski equality of measurement-based work extraction
• Nonequilibrium Statistical Mechanics for Adiabatic Piston Problem
• Quasi-autonomous quantum thermal machines and quantum to classical energy flow
• Information thermodynamics for a multi-feedback process with time delay
• Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
• Jarzynski-type equalities in gambling: role of information in capital growth
• Optimized finite-time information machine
• Influence of time delay on information exchanges between coupled linear stochastic systems
• Universal bounds on optimization of free energy harvesting
• Entropy balance and Information processing in bipartite and non-bipartite composite systems
• Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities
• From a feedback-controlled demon to an information ratchet in a double quantum dot
• Reversible feedback confinement
• Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• Work relations with measurement and feedback control on nonuniform temperature systems
• Experimentally probing entropy reduction via iterative quantum information transfer
• A Maxwell demon model connecting information and thermodynamics
• Large deviation analysis of a simple information engine
• Thermodynamics of Encoding and Encoders
• Thermodynamic cost of Brownian computers in the stochastic thermodynamics of resetting
• Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
• Learning in Neural Networks Based on a Generalized Fluctuation Theorem
• Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport
• Transfer-Entropy-Regularized Markov Decision Processes
• Transfer Entropy and Flow of Information in Two-Skyrmion System
• Nonequilibrium work energy relation for non-Hamiltonian dynamics
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Minimal thermodynamic cost of communication
• Fluctuation theorems for multiple co-evolving systems
• Thermodynamic inference in molecular motors: a Martingale approach
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Coulomb-mediated single-electron heat transfer statistics across capacitively coupled silicon nanodots
• Quantifying the information transduction of biochemical reaction cascades: transcription of mRNA from ligand stimulation
• Information-thermodynamic characterization of stochastic Boolean networks