Efficiency of a Brownian information machine

Abstract

A Brownian information machine extracts work from a heat bath through a feedback process that exploits the information acquired in a measurement. For the paradigmatic case of a particle trapped in a harmonic potential, we determine how power and efficiency for two variants of such a machine operating cyclically depend on the cycle time and the precision of the positional measurements. Controlling only the center of the trap leads to a machine that has zero efficiency at maximum power whereas additional optimal control of the stiffness of the trap leads to an efficiency bounded between 1/2, which holds for maximum power, and 1 reached even for finite cycle time in the limit of perfect measurements.

9 pages, 2 figures

References in corpus (15)

• Information heat engine: converting information to energy by feedback control
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Dissipation: The phase-space perspective
• Universality of efficiency at maximum power
• Second law and Landauer principle far from equilibrium
• Nonequilibrium Thermodynamics of Feedback Control
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Extracting work from a single heat bath through feedback
• Thermodynamics of feedback controlled systems
• Efficiency of autonomous soft nano-machines at maximum power
• Thermodynamics of genuine non-equilibrium states under feedback control
• Designing optimal discrete-feedback thermodynamic engines
• Memory erasure in small systems
• Fluctuation theorems in presence of information gain and feedback

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• Information Thermodynamics on Causal Networks
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Second-law-like inequalities with information and their interpretations
• Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
• Imitating Chemical Motors with Optimal Information Motors
• Coherence-enhanced efficiency of feedback-driven quantum engines
• Role of Mutual Information in Entropy Production under Information Exchanges
• Stochastic thermodynamics with information reservoirs
• Optimal performance of periodically driven, stochastic heat engines under limited control
• Sensory capacity: an information theoretical measure of the performance of a sensor
• Biochemical machines for the interconversion of mutual information and work
• Efficiency fluctuations and noise induced refrigerator-to-heater transition in information engines
• Rate of mutual information between coarse-grained non-Markovian variables
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• Information engine in a nonequilibrium bath
• On the energetics of information exchange
• Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
• Energy and information flows in autonomous systems
• Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines
• What we learn from the learning rate
• Reaching and violating thermodynamic uncertainty bounds in information engines
• Optimal tuning of a confined Brownian information engine
• Informations in models of evolutionary dynamics
• Enhancement of mobility in an interacting colloidal system under feedback control
• Colossal power extraction from active cyclic Brownian information engines
• Efficiency at maximum power of a Carnot quantum information engine
• Energetic cost of feedback control
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• Extracting work optimally with imprecise measurements
• Extracting work from a single reservoir in the non-Markovian underdamped regime
• Information Arbitrage in Bipartite Heat Engines
• Extracting work from the magnetic field coupled Brownian particles
• Achievable Information-Energy Exchange in a Brownian Information Engine through Potential Profiling
• Bounds and phase diagram of efficiency at maximum power for tight-coupling molecular motors
• Classical information driven quantum dot thermal machines
• Driven particle in a one dimensional periodic potential with feedback control: efficiency and power optimization