Second-law-like inequalities with information and their interpretations

Abstract

In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting for the information gathered through measurement. We quantitatively compare a number of these information measures using an analytically tractable model for the feedback cooling of a Brownian particle. We find that the information measures form a hierarchy that reveals a web of interconnections. To untangle their relationships, we address the origins of the information, arguing that each information measure represents the minimum thermodynamic cost to acquire that information through a separate, distinct measurement protocol.

29 pages, 5 figures

References in corpus (10)

• Second Law of Thermodynamics with Discrete Quantum Feedback Control
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• Nonequilibrium fluctuations in a resistor
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Extracting work from a single heat bath through feedback
• Thermodynamics of feedback controlled systems
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• Stochastic Thermodynamics of Learning
• Role of measurement-feedback separation in autonomous Maxwell's demons
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Thermodynamics and computation during collective motion near criticality
• Continuous information flow fluctuations
• Information-theoretic analysis of the directional influence between cellular processes
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Maximal fluctuation exploitation in Gaussian information engines
• Effective thermodynamics of two interacting underdamped Brownian particles
• Dissipation reduction and information-to-measurement conversion in DNA pulling experiments with feedback protocols
• Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities
• Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity
• Relations Between Work and Entropy Production for General Information-Driven, Finite-State Engines
• Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon
• Individual Sensing can Gain more Fitness than its Information
• New Fluctuation Theorem on Maxwell's Demon