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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7810
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dc.contributor.authorSantra, Ion-
dc.contributor.authorDas, Santanu-
dc.contributor.authorNath, Sujit Kumar-
dc.date.accessioned2021-08-10T12:00:21Z-
dc.date.available2021-08-10T12:00:21Z-
dc.date.issued2021-07-
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical, 2021, Vol. 54, p334001en_US
dc.identifier.urihttp://hdl.handle.net/2289/7810-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe study the effects of an intermittent harmonic potential of strength μ = μ0ν—that switches on and off stochastically at a constant rate γ, on an overdamped Brownian particle with damping coefficient ν. This can be thought of as a realistic model for realisation of stochastic resetting. We show that this dynamics admits a stationary solution in all parameter regimes and compute the full time dependent variance for the position distribution and find the characteristic relaxation time. We find the exact non-equilibrium stationary state distributions in the limits—(i) γ Lt μ0 which shows a non-trivial distribution, in addition as μ0 → ∞, we get back the result for resetting with refractory period; (ii) γ Gt μ0 where the particle relaxes to a Boltzmann distribution of an Ornstein–Uhlenbeck process with half the strength of the original potential and (iii) intermediate γ = 2nμ0 for n = 1, 2. The mean first passage time (MFPT) to find a target exhibits an optimisation with the switching rate, however unlike instantaneous resetting the MFPT does not diverge but reaches a stationary value at large rates. MFPT also shows similar behavior with respect to the potential strength. Our results can be verified in experiments on colloids using optical tweezers.en_US
dc.language.isoenen_US
dc.publisherIOP Publishingen_US
dc.relation.urihttps://arxiv.org/abs/2104.00609en_US
dc.relation.urihttps://doi.org/10.1088/1751-8121/ac12a0en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2021arXiv210400609S/abstracten_US
dc.rights2021 IOP Publishingen_US
dc.titleBrownian motion under intermittent harmonic potentialsen_US
dc.typeArticleen_US
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