Thermodynamic Reversibility in Feedback Processes

Abstract

The sum of the average work dissipated plus the information gained during a thermodynamic process with discrete feedback must exceed zero. We demonstrate that the minimum value of zero is attained only by feedback-reversible processes that are indistinguishable from their time-reversal, thereby extending the notion of thermodynamic reversibility to feedback processes. In addition, we prove that in every realization of a feedback-reversible process the sum of the work dissipated and change in uncertainty is zero.

6 pages, 4, figures, accepted in EPL, expanded discussion of thermodynamic reversibility

References in corpus (16)

• Information heat engine: converting information to energy by feedback control
• The Physics of Maxwell's demon and information
• Dissipation: The phase-space perspective
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Quantum Szilard Engine
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Extracting work from a single heat bath through feedback
• Feedback control in a collective flashing ratchet
• Realization of a feedback controlled flashing ratchet
• Entropy Production of Brownian Macromolecules with Inertia
• Effect of time delay on feedback control of a flashing ratchet
• An illustrative example of the relationship between dissipation and relative entropy
• Information and flux in a feedback controlled Brownian ratchet
• Information and maximum power in a feedback controlled Brownian ratchet
• Thermodynamics of adiabatic feedback control
• Thermodynamics of quantum measurements

Cited by in corpus (75)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Experimental realization of a Szilard engine with a single electron
• Second law and Landauer principle far from equilibrium
• Work and information processing in a solvable model of Maxwell's demon
• Experimental study of mutual information in a Maxwell Demon
• Nonequilibrium Thermodynamics of Feedback Control
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermodynamics with continuous information flow
• Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Semantic information, autonomous agency, and nonequilibrium statistical physics
• Information Thermodynamics on Causal Networks
• Maxwell's demon in biochemical signal transduction with feedback loop
• Second-law-like inequalities with information and their interpretations
• Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
• Thermodynamic and Logical Reversibilities Revisited
• Thermodynamics of genuine non-equilibrium states under feedback control
• Imitating Chemical Motors with Optimal Information Motors
• An autonomous and reversible Maxwell's demon
• Designing optimal discrete-feedback thermodynamic engines
• Role of Mutual Information in Entropy Production under Information Exchanges
• Stochastic thermodynamics with information reservoirs
• Lossless Brownian information engine
• Sensory capacity: an information theoretical measure of the performance of a sensor
• Thermodynamics of Gambling Demons
• Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
• Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets
• The thermodynamic cost of measurements
• Optimal Efficiency of Heat Engines with Finite-Size Heat Baths
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Measurement-based Formulation of Quantum Heat Engine
• Quantum nonequilibrium equalities with absolute irreversibility
• Rate of mutual information between coarse-grained non-Markovian variables
• Joint probability distributions and fluctuation theorems
• Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• Mutual Entropy-Production and Sensing in Bipartite Systems
• General achievable bound of extractable work under feedback control
• Uncertainty relation under information measurement and feedback control
• On the energetics of information exchange
• Thermodynamics of Quantum-Jump-Conditioned Feedback Control
• Uncertainty relations and fluctuation theorems for Bayes nets
• Stochastic thermodynamics of relativistic Brownian motion
• Information flow and optimal protocol for Maxwell's demon single electron pump
• Efficiency at maximum power of a Carnot quantum information engine
• Energetic cost of feedback control
• Open Problems on Information and Feedback Controlled Systems
• Extracting work optimally with imprecise measurements
• Quasi-autonomous quantum thermal machines and quantum to classical energy flow
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
• Manifestly non-Gaussian fluctuations in superconductor-normal metal tunnel nanostructures
• Optimizing non-ergodic feedback engines
• Feedback Control of Waiting Times
• Optimized finite-time information machine
• Time-reversal symmetry relations for currents in quantum and stochastic nonequilibrium systems
• Extracting work from the magnetic field coupled Brownian particles
• Inertial effects in discrete sampling information engines
• Reversible feedback confinement
• Optimal Work Extraction and the Minimum Description Length Principle
• Large deviation analysis of a simple information engine
• Mutual information change in feedback processes driven by measurement
• Information engine fueled by first-passage times
• The influence of measurement error on Maxwell's demon
• Fluctuation Theorem of Information Exchange between Subsystems that Co-Evolve in Time
• Nonequilibrium free energy estimation conditioned on measurement outcomes
• Accuracy of energy measurement and reversible operation of a microcanonical Szilard engine
• Thermodynamics of multiple Maxwell demons
• Quantum thermodynamics in a single-electron box
• Revisiting Kinetic Monte Carlo Algorithms for Time-dependent Processes: from open-loop control to feedback control
• Mutual Information in Coupled Double Quantum Dots: A Simple Analytic Model for Potential Artificial Consciousness
• Non-Uniform Convergence in Moment Expansions of Integral Work Relations
• Thermodynamic Cost of Random-Time Protocols
• Trajectory statistics of confined Lévy flights and Boltzmann-type equilibria