Ratchet-mediated resetting: current, efficiency, and exact solution
File(s)
Published version
Author(s)
Roberts, Connor
Sezik, Emir
Lardet, Eloise
Type
Journal Article
Abstract
We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the particle’s first passage to a resetting point at the minimum of the potential. Repeating this cycle sustains a non-equilibrium steady-state, as well as a directed steady-state current which can be harnessed to perform useful work. We derive exact analytic expressions for the probability densities of the free-diffusion and resetting phases, the associated currents for each phase, and an efficiency parameter that quantifies the return in current for given power input. These expressions allow us to fully characterise the system and obtain experimentally relevant results such as the optimal current and efficiency. Our results are corroborated by simulations, and have implications for experimentally viable finite-time resetting protocols.
Date Issued
2024-08-09
Date Acceptance
2024-07-11
Citation
Journal of Physics A: Mathematical and Theoretical, 2024, 57 (32)
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
57
Issue
32
Copyright Statement
© 2024 The Author(s). Published by IOP Publishing Ltd Original Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
License URL
Subjects
exact solution
non-equilibrium statistical mechanics
non-equilibrium steady state
Physical Sciences
Physics
Physics, Mathematical
Physics, Multidisciplinary
ratchet potential
Science & Technology
stochastic resetting
Publication Status
Published
Article Number
325001
Date Publish Online
2024-07-24