An illustrative example of the relationship between dissipation and relative entropy

Abstract

Kawai, Parrondo, and Van den Broeck [Phys. Rev. Lett. 98, 080602 (2007)] have recently established a quantitative relationship between dissipated work and a microscopic, information-theoretic measure of irreversibility. We illustrate this result using the exactly solvable system of a Brownian particle in a dragged harmonic trap.

7 pages, 3 figures, accepted in Physical Review E

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• Inferring broken detailed balance in the absence of observable currents
• Thermodynamic Reversibility in Feedback Processes
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Geometric properties of adiabatic quantum thermal machines
• Phase transition in protocols minimizing work fluctuations
• Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
• Near-equilibrium measurements of nonequilibrium free energy
• Tightest bound on hidden entropy production from partially observed dynamics
• Limits of Predictions in Thermodynamic Systems: A Review
• Non-invasive estimation of dissipation from non-equilibrium fluctuations in chemical reactions
• Balancing Error and Dissipation in Computing
• Energy versus information based estimations of dissipation using a pair of magnetic colloidal particles
• Dissipative timescales from coarse-graining irreversibility
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• Generalized relation between the relative entropy and dissipation for nonequilibrium systems
• A Shortcut to Finite-time Memory Erasure
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Free energy potential and temperature with information exchange
• Work fluctuation theorems and free energy from kinetic theory
• Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws
• Accelerated Jarzynski Estimator with Deterministic Virtual Trajectories
• Physics of the Shannon Limits
• Information loss and entropy production during dissipative processes in a macroscopic system kicked out of the equilibrium