Work and information processing in a solvable model of Maxwell's demon
arXiv:1206.5553 · doi:10.1073/pnas.1204263109
Abstract
We describe a minimal model of an autonomous Maxwell demon, a device that delivers work by rectifying thermal fluctuations while simultaneously writing information to a memory register. We solve exactly for the steady-state behavior of our model, and we construct its phase diagram. We find that our device can also act as a "Landauer eraser", using externally supplied work to remove information from the memory register. By exposing an explicit, transparent mechanism of operation, our model offers a simple paradigm for investigating the thermodynamics of information processing by small systems.
arXiv commentMain Text (6 pages, 3 figures) + Suppl. Info. (3 pages). To appear in PNAS
References in corpus (16)
- 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
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- The thermodynamic meaning of negative entropy
- Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
- Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
- Extracting work from a single heat bath through feedback
- Quantum Heat Engines Using Superconducting Quantum Circuits
- Thermodynamic Reversibility in Feedback Processes
- Generalized detailed Fluctuation Theorem under Nonequilibrium Feedback control
- Fluctuation Theorems of Brownian Particles Controlled by a Maxwell's Demon
- Modeling Maxwell's demon with a microcanonical Szilard engine
- The thermodynamic cost of measurements
- Information and flux in a feedback controlled Brownian ratchet
- Maxwell's Demon and Data Compression
Cited by in corpus (188)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Experimental realization of a Szilard engine with a single electron
- On-chip Maxwell's demon as an information-powered refrigerator
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- 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
- Extracting work from quantum measurement in Maxwell demon engines
- Universal features in the energetics of symmetry breaking
- Entropy production and thermodynamic power of the squeezed thermal reservoir
- Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
- Semantic information, autonomous agency, and nonequilibrium statistical physics
- Efficiency of cellular information processing
- Information Thermodynamics on Causal Networks
- Cost and Precision of Brownian Clocks
- Stochastic thermodynamics of computation
- Maxwell's demon in biochemical signal transduction with feedback loop
- Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
- Maxwell's Refrigerator: An Exactly Solvable Model
- Second-law-like inequalities with information and their interpretations
- Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
- Large work extraction and the Landauer limit in a continuous Maxwell demon
- Thermodynamic and Logical Reversibilities Revisited
- Imitating Chemical Motors with Optimal Information Motors
- Thermodynamics of statistical inference by cells
- An autonomous and reversible Maxwell's demon
- Coherence-enhanced efficiency of feedback-driven quantum engines
- Thermodynamics of Quantum Information Flows
- Quantum Engines and Refrigerators
- Role of Mutual Information in Entropy Production under Information Exchanges
- Stochastic thermodynamics with information reservoirs
- Maximum Caliber: a general variational principle for dynamical systems
- Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
- Thermodynamics of Error Correction
- Sensory capacity: an information theoretical measure of the performance of a sensor
- Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks
- Finite-time erasing of information stored in fermionic bits
- The squeezed thermal reservoir as a generalized equilibrium reservoir
- Multipartite information flow for multiple Maxwell demons
- Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
- Above and Beyond the Landauer Bound: Thermodynamics of Modularity
- Absorption refrigerators based on Coulomb-coupled single-electron systems
- Identifying Functional Thermodynamics in Autonomous Maxwellian Ratchets
- Maximizing power and velocity of an information engine
- Biochemical machines for the interconversion of mutual information and work
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
- Landauer in the age of synthetic biology: energy consumption and information processing in biochemical networks
- Computational Mechanics of Input-Output Processes: Structured transformations and the -transducer
- A mechanical autonomous stochastic heat engine
- Role of measurement-feedback separation in autonomous Maxwell's demons
- Nonequilibrium dissipation-free transport in F1-ATPase and the thermodynamic role of asymmetric allosterism
- Autonomous conversion of information to work in quantum dots
- Information driven current in a quantum Maxwell demon
- Quantum finite-time thermodynamics: insight from a single qubit engine
- Thermodynamic limits to information harvesting by sensory systems
- Correlation-powered Information Engines and the Thermodynamics of Self-Correction
- Thermodynamics of computing with circuits
- Maxwell's lesser demon: a quantum engine driven by pointer measurements
- The Second Laws for an Information driven Current through a Spin Valve
- Effective fluctuation and response theory
- Hidden Markov models for stochastic thermodynamics
- Rate of mutual information between coarse-grained non-Markovian variables
- Thermodynamic cost and benefit of memory
- Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
- Dependence of dissipation on the initial distribution over states
- Mutual Entropy-Production and Sensing in Bipartite Systems
- Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
- Fundamental limitations on photoisomerization from thermodynamic resource theories
- On the energetics of information exchange
- Probing small-scale intermittency with a fluctuation theorem
- Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
- 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
- Uncertainty relations and fluctuation theorems for Bayes nets
- Thermodynamics of complexity and pattern manipulation
- Stochastic Efficiency: Five Case Studies
- Leveraging Environmental Correlations: The Thermodynamics of Requisite Variety
- Transient Dissipation and Structural Costs of Physical Information Transduction
- Quantum Fluctuation Theorems
- Stochastic thermodynamics of relativistic Brownian motion
- Delay-induced transport in a rocking ratchet under feedback control
- Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines
- Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach
- Measurement-feedback formalism meets information reservoirs
- Quantum heat engine operating between thermal and spin reservoirs
- The free energy requirements of biological organisms; implications for evolution
- Attainability of Carnot Efficiency with Autonomous Engines
- Quantum engine based on general measurements
- Harnessing Fluctuations in Thermodynamic Computing via Time-Reversal Symmetries
- Thermodynamics of information exchange between two coupled quantum dots
- Stochastic thermodynamics with arbitrary interventions
- Spin-driven electrical power generation at room temperature
- Optimal tuning of a confined Brownian information engine
- Force-linearization closure for non-Markovian Langevin systems with time delay
- Information flow and optimal protocol for Maxwell's demon single electron pump
- Exploring quantum thermodynamics with NMR
- Finite-time thermodynamics of port-Hamiltonian systems
- Differential Landauer's principle
- Memory compression and thermal efficiency of quantum implementations of non-deterministic hidden Markov models
- Colossal power extraction from active cyclic Brownian information engines
- Entropy production and fluctuations in a Maxwell's refrigerator with squeezing
- Landauer Principle and Thermodynamics of Computation
- Thermodynamics of Information Processing Based on Enzyme Kinetics: an Exactly Solvable Model of Information Pump
- Information erasure in copolymers
- Coefficient of performance under maximum criterion in a two-level atomic system as a refrigerator
- Quantum Maxwell's Demon Assisted by Non-Markovian Effects
- Biochemical Szilard engines for memory-limited inference
- Quasi-autonomous quantum thermal machines and quantum to classical energy flow
- Thermodynamics of Random Number Generation
- Jarzynski-type equalities in gambling: role of information in capital growth
- Information-thermodynamics link revisited
- Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
- Dissipation reduction and information-to-measurement conversion in DNA pulling experiments with feedback protocols
- Quantum to classical transition in an information ratchet
- Optimized finite-time information machine
- A multipurpose information engine that can go beyond the Carnot limit
- Classifying two-body Hamiltonians for Quantum Darwinism
- Macrospin in external magnetic field: Entropy production and fluctuation theorems
- Production and Transfer of Energy and Information in Hamiltonian Systems
- Physical Limitations of Work Extraction from Temporal Correlations
- Analogy Between Gambling and Measurement-Based Work Extraction
- Maximizing free energy gain
- Ultra-low-energy straintronics using multiferroic composites
- Optimal work extraction and mutual information in a generalized Szilárd engine
- 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
- Information Arbitrage in Bipartite Heat Engines
- Extracting work from the magnetic field coupled Brownian particles
- Maxwell's demons with finite size and response time
- Producing Useful Work in a Cycle by Absorbing Heat from a Single Thermal Reservoir: An Investigation on a Locally Nonchaotic Energy Barrier
- Force-dependent diffusion coefficient of molecular Brownian ratchets
- Optimal Work Extraction and the Minimum Description Length Principle
- Maxwell's demon and the management of ignorance in stochastic thermodynamics
- Fast Functionalization with High Performance in the Autonomous Information Engine
- Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity
- Thermodynamically-Efficient Local Computation and the Inefficiency of Quantum Memory Compression
- Partially Observable Szilard Engines
- Molecular-Sized Outward-Swinging Gate: Experiment and Theoretical Analysis of a Locally Nonchaotic Barrier
- Relations Between Work and Entropy Production for General Information-Driven, Finite-State Engines
- Information in feedback ratchets
- Designing Autonomous Maxwell Demon via Stochastic Resetting
- Landauer limit of energy dissipation in a magnetostrictive particle
- A Maxwell demon model connecting information and thermodynamics
- Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
- Coupled-Double-Quantum-Dot Environmental Information Engines: A Numerical Analysis
- Thermodynamics of Encoding and Encoders
- On the second law of thermodynamics: An ideal-gas flow spontaneously induced by a locally nonchaotic energy barrier
- The remote Maxwell demon as energy down-converter
- Microcanonical Szilárd engines beyond the quasistatic regime
- The influence of measurement error on Maxwell's demon
- Operational derivation of Maxwell-Boltzmann distribution with Maxwell's demon model
- Sloppy Gear Mechanism for Coupled Stochastic Transportation: from anti-equilibrium flow to infinite selectivity
- Predictive Maxwell's Demons
- Information ratchets exploiting spatially structured information reservoirs
- Bosonic Szilard Engine Assisted by Feshbach Resonances
- Engines for predictive work extraction from memoryful quantum stochastic processes
- Fluctuation theorems in general relativistic stochastic thermodynamics
- Nonlinear Stochastic Dynamics of Complex Systems, III: Noneqilibrium Thermodynamics of Self-Replication Kinetics
- Aquaporin-1 can work as a Maxwell's Demon in the Body
- First and Second Laws of Information Processing by Nonequilibrium Dynamical States
- Nonequilibrium work energy relation for non-Hamiltonian dynamics
- The thermodynamics of quasi-deterministic digital computers
- Universal Ideal Behavior and Macroscopic Work Relation of Linear Irreversible Stochastic Thermodynamics
- Nonequilibrium free energy estimation conditioned on measurement outcomes
- Efficiency estimation for an equilibrium version of Maxwell refrigerator
- 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
- A perspective on Lindblad's Non-Equilibrium Entropy
- Energy extraction of a chaotic system in a cyclic process: a Szilárd Engine perspective
- The fundamental thermodynamic bounds on finite models
- Memoryless Thermodynamics? A Reply
- Revisiting thermodynamics in computation and information theory
- Energy Flux in Hierarchical Equations of Motion Method and Its Application to a Three-Level Heat Engine
- Work as a Memory Record
- Energetic advantages for quantum agents in online execution of complex strategies
- Autonomous Brownian motor driven by nonadiabatic variation of internal parameters
- New Fluctuation Theorem on Maxwell's Demon
- Demon with dementia - the deterioration of information transcription
- Stochastic Thermodynamics, Reversible Dynamical Systems and Information Theory
- Second law for an autonomous information machine connected with multiple baths
- Carnot's theorem and Szilárd engine
- The time-identity tradeoff
- Improving the efficiency of finite-time memory erasure with potential barrier shaping
- Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon
- Incompatible observables in classical physics: A closer look at measurement in Hamiltonian mechanics