Multiple dynamic transitions in nonequilibrium work fluctuations

Abstract

The time-dependent work probability distribution function $P(W)$ is investigated analytically for a diffusing particle trapped by an anisotropic harmonic potential and driven by a nonconservative drift force in two dimensions. We find that the exponential tail shape of $P(W)$ characterizing rare-event probabilities undergoes a sequence of dynamic transitions in time. These remarkable locking-unlocking type transitions result from an intricate interplay between a rotational mode induced by the nonconservative force and an anisotropic decaying mode due to the conservative attractive force. We expect that most of high-dimensional dynamical systems should exhibit similar multiple dynamic transitions.

5 pages, 3 figures, published version

References in corpus (17)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• The Einstein relation generalized to non-equilibrium
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• Power and heat fluctuation theorems for electric circuits
• On the heat flux and entropy produced by thermal fluctuations
• The Brownian gyrator: a minimal heat engine on the nano-scale
• Work fluctuations for a Brownian particle between two thermostats
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
• Fluctuation Relation for Heat
• Stochastic thermodynamics for delayed Langevin systems
• Bound particle coupled to two thermostats
• A field-theoretic approach to nonequilibrium work identities
• Fluctuation Properties of Steady-State Langevin Systems
• Threshold for everlasting initial memory in equilibration processes

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