Work fluctuations for diffusion dynamics submitted to stochastic return

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e. 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...

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Detalles Bibliográficos
Autores: Gupta, Deepak, Plata Ramos, Carlos Alberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/147319
Acceso en línea:https://hdl.handle.net/11441/147319
https://doi.org/10.1088/1367-2630/aca25e
Access Level:acceso abierto
Palabra clave:stochastic resetting
stochastic thermodynamics
fluctuations
Descripción
Sumario:Returning a system to a desired state under a force field involves a thermodynamic cost, i.e. 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 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.