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Thermodynamic uncertainty relations under arbitrary control protocols

Tan Van Vu, Yoshihiko Hasegawa

2020Physical Review Research52 citationsDOIOpen Access PDF

Abstract

The authors generalize the thermodynamic uncertainty relations for Langevin systems driven by arbitrary control protocols in both overdamped and underdamped regimes. The derived relations universally hold not only for current and noncurrent observables that satisfy a scaling condition but also for arbitrary Langevin systems, ranging from relaxation processes to externally controlled systems.

Topics & Concepts

ObservableStatistical physicsEntropy productionNon-equilibrium thermodynamicsBrownian motionEntropy (arrow of time)ScalingMathematicsPhysicsThermodynamicsQuantum mechanicsStatisticsGeometryAdvanced Thermodynamics and Statistical MechanicsNeural dynamics and brain functionstochastic dynamics and bifurcation