Stochastic thermodynamics with information reservoirs

Abstract

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single heat bath becomes possible if the system also interacts with an information reservoir. We obtain an inequality, and the corresponding fluctuation theorem, generalizing the standard entropy production of stochastic thermodynamics. From this inequality we can derive an information processing entropy production, which gives the second law in the presence of information reservoirs. We also develop a systematic linear response theory for information processing machines. For a unicyclic machine powered by an information reservoir, the efficiency at maximum power can deviate from the standard value of 1/2. For the case where energy is consumed to erase the tape, the efficiency at maximum erasure rate is found to be 1/2.

arXiv comment13 pages, 8 figures

References in corpus (44)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Information heat engine: converting information to energy by feedback control
• The Physics of Maxwell's demon and information
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Stochastic thermodynamics under coarse-graining
• Second law and Landauer principle far from equilibrium
• Work and information processing in a solvable model of Maxwell's demon
• Nonequilibrium Thermodynamics of Feedback Control
• The thermodynamics of prediction
• 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
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Information-theoretic approach to the study of control systems
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Information-Theoretic Limits of Control
• Extracting work from a single heat bath through feedback
• Thermodynamics of feedback controlled systems
• Information Thermodynamics on Causal Networks
• Maxwell's Refrigerator: An Exactly Solvable Model
• Thermodynamic Reversibility in Feedback Processes
• Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
• Stochastic thermodynamics of single enzymes and molecular motors
• Efficiency of autonomous soft nano-machines at maximum power
• Thermodynamic and Logical Reversibilities Revisited
• Thermodynamics of genuine non-equilibrium states under feedback control
• Imitating Chemical Motors with Optimal Information Motors
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Generalized detailed Fluctuation Theorem under Nonequilibrium Feedback control
• An autonomous and reversible Maxwell's demon
• Thermodynamic efficiency of information and heat flow
• Designing optimal discrete-feedback thermodynamic engines
• Role of Mutual Information in Entropy Production under Information Exchanges
• Finite-time erasing of information stored in fermionic bits
• Efficiency of a Brownian information machine
• The thermodynamic cost of measurements
• Energy Requirement of Control: Comments on Szilard's Engine and Maxwell's Demon
• Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited
• On the energetics of information exchange
• Thermodynamics of Quantum-Jump-Conditioned Feedback Control
• Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control
• Differential Landauer's principle
• Thermodynamics of adiabatic feedback control
• Optimized finite-time information machine

Cited by in corpus (47)

• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Nonequilibrium Physics in Biology
• Cost and Precision of Brownian Clocks
• Theory of nonequilibrium free energy transduction by molecular machines
• Sensory capacity: an information theoretical measure of the performance of a sensor
• The squeezed thermal reservoir as a generalized equilibrium reservoir
• Multipartite information flow for multiple Maxwell demons
• Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets
• Autonomous conversion of information to work in quantum dots
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Hidden Markov models for stochastic thermodynamics
• Critical behavior of entropy production and learning rate: Ising model with an oscillating field
• Energy and information flows in autonomous systems
• Thermodynamics of stochastic Turing machines
• Principles of Low Dissipation Computing from a Stochastic Circuit Model
• Uncertainty relations and fluctuation theorems for Bayes nets
• Thermodynamics of complexity and pattern manipulation
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Stochastic Efficiency: Five Case Studies
• Transient Dissipation and Structural Costs of Physical Information Transduction
• Leveraging Environmental Correlations: The Thermodynamics of Requisite Variety
• Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines
• Measurement-feedback formalism meets information reservoirs
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• The free energy requirements of biological organisms; implications for evolution
• Landauer Principle and Thermodynamics of Computation
• Efficiency at maximum power of a Carnot quantum information engine
• Discrete fluctuations in memory erasure without energy cost
• Quantum to classical transition in an information ratchet
• Quantum Foundations of Classical Reversible Computing
• Information Arbitrage in Bipartite Heat Engines
• From a feedback-controlled demon to an information ratchet in a double quantum dot
• Entropy balance and Information processing in bipartite and non-bipartite composite systems
• Relations Between Work and Entropy Production for General Information-Driven, Finite-State Engines
• Information ratchets exploiting spatially structured information reservoirs
• Microcanonical Szilárd engines beyond the quasistatic regime
• The thermodynamics of quasi-deterministic digital computers
• Geometric view of stochastic thermodynamics for non-equilibrium steady states
• Classical information driven quantum dot thermal machines
• Revisiting thermodynamics in computation and information theory
• Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
• N-States Continuous Maxwell Demon
• Work as a Memory Record
• Memoryless Thermodynamics? A Reply
• Information Thermodynamics for Deterministic Chemical Reaction Networks
• Information form of the second law of thermodynamics
• How to measure heat in stochastic systems