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http://hdl.handle.net/2289/7810Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Santra, Ion | - |
| dc.contributor.author | Das, Santanu | - |
| dc.contributor.author | Nath, Sujit Kumar | - |
| dc.date.accessioned | 2021-08-10T12:00:21Z | - |
| dc.date.available | 2021-08-10T12:00:21Z | - |
| dc.date.issued | 2021-07 | - |
| dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 2021, Vol. 54, p334001 | en_US |
| dc.identifier.uri | http://hdl.handle.net/2289/7810 | - |
| dc.description | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) | en_US |
| dc.description.abstract | We 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.iso | en | en_US |
| dc.publisher | IOP Publishing | en_US |
| dc.relation.uri | https://arxiv.org/abs/2104.00609 | en_US |
| dc.relation.uri | https://doi.org/10.1088/1751-8121/ac12a0 | en_US |
| dc.relation.uri | https://ui.adsabs.harvard.edu/abs/2021arXiv210400609S/abstract | en_US |
| dc.rights | 2021 IOP Publishing | en_US |
| dc.title | Brownian motion under intermittent harmonic potentials | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2021_J._Phys._A _Math._Theor._54_334001.pdf Restricted Access | Restricted Access | 1.11 MB | Adobe PDF | View/Open Request a copy |
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