期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 2021, 期 11, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1742-5468/ac2cc7
关键词
Brownian motion; diffusion; fluctuation phenomena
资金
- FQXi Foundation [FQXi-IAF19-05]
This study experimentally investigates the optimal mean time for a Brownian particle to reach a target with resetting in one or two dimensions. Different resetting protocols were derived and tested, revealing a phase transition at a critical value, with calculations, experimental setup, and limitations discussed.
We experimentally, numerically and theoretically study the optimal mean time needed by a Brownian particle, freely diffusing either in one or two dimensions, to reach, within a tolerance radius R (tol), a target at a distance L from an initial position in the presence of resetting. The reset position is Gaussian distributed with width sigma. We derived and tested two resetting protocols, one with a periodic and one with random (Poissonian) resetting times. We computed and measured the full first-passage probability distribution that displays spectacular spikes immediately after each resetting time for close targets. We study the optimal mean first-passage time as a function of the resetting period/rate for different target distances (values of the ratios b = L/sigma) and target size (a = R (tol)/L). We find an interesting phase transition at a critical value of b, both in one and two dimensions. The details of the calculations as well as the experimental setup and limitations are discussed.
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