Work fluctuations for diffusion dynamics submitted to stochastic return

Abstract

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to determine the work distribution for returning a system facilitated by a confining potential with its minimum at the restart location. The general strategy, based on average over {\it resetting pathways}, constitutes a robust method to gain access to the statistical information of observables from resetting systems. We exploit paradigmatic setups, where explicit computations are attainable, to illustrate the theory. Numerical simulations validate our theoretical predictions. For some of these examples, a non-trivial behavior of the work fluctuations opens a door to optimization problems. Specifically, work fluctuations can be minimized by an appropriate tuning of the return rate.

17 pages, 4 figures

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Cited by in corpus (11)

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• Thermodynamic work of partial resetting
• First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions
• Dynamically emergent correlations between particles in a switching harmonic trap
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Search with stochastic home-returns can expedite classical first passage under resetting
• Optimal resetting strategies for search processes in heterogeneous environments
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Emerging cost-time Pareto front for diffusion with stochastic return
• Nonequilibrium steady state of Brownian motion in an intermittent potential
• Semi-Markov Processes in Open Quantum Systems. II. Counting Statistics with Resetting