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Direct Evaluation of Rare Events in Active Matter from Variational Path Sampling

Avishek Das, Benjamin Kuznets-Speck, David T. Limmer

2022Physical Review Letters24 citationsDOIOpen Access PDF

Abstract

Active matter represents a broad class of systems that evolve far from equilibrium due to the local injection of energy. Like their passive analogs, transformations between distinct metastable states in active matter proceed through rare fluctuations; however, their detailed balance violating dynamics renders these events difficult to study. Here, we present a simulation method for evaluating the rate and mechanism of rare events in generic nonequilibrium systems and apply it to study the conformational changes of a passive solute in an active fluid. The method employs a variational optimization of a control force that renders the rare event a typical one, supplying an exact estimate of its rate as a ratio of path partition functions. Using this method we find that increasing activity in the active bath can enhance the rate of conformational switching of the passive solute in a manner consistent with recent bounds from stochastic thermodynamics.

Topics & Concepts

Rare eventsNon-equilibrium thermodynamicsMetastabilityActive matterStatistical physicsPhysicsPartition (number theory)Path (computing)Detailed balancePath integral formulationEvent (particle physics)Soft matterClass (philosophy)Stochastic dynamicsComplex systemComputer scienceApplied mathematicsStochastic processDynamics (music)Micro and Nano RoboticsAdvanced Thermodynamics and Statistical Mechanicsstochastic dynamics and bifurcation
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