Continuous information flow fluctuations

Abstract

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations in other thermodynamics quantities, like heat and work. Here we derive a series of fluctuation theorems for information flow and partial entropy production in a Brownian particle model of feedback cooling and extend them to arbitrary driven diffusion processes. We then analyze the long-time behavior of the feedback-cooling model in detail. Our results provide insights into the structure and origin of large deviations of information and thermodynamic quantities in autonomous Maxwell's demons.

17 pages, 7 figures

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• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Fluctuations in heat engines
• Effective fluctuation and response theory
• Information Geometric Inequalities of Chemical Thermodynamics
• Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
• Information thermodynamics for interacting stochastic systems without bipartite structure
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• Uncertainty relations for time-delayed Langevin systems
• An autonomous out of equilibrium Maxwell's demon for controlling the energy fluxes produced by thermal fluctuations
• Role of sufficient statistics in stochastic thermodynamics and its implication to sensory adaptation
• Inertial effects in discrete sampling information engines
• Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
• Information engine fueled by first-passage times
• Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
• Active energy harvesting and work transduction by hair-cell bundles in bullfrog's inner ear
• Fluctuation-response theorem for Kullback-Leibler divergences to quantify causation