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Active Brownian motion in two dimensions under stochastic resetting

Kumar, V and Sadekar, O and Basu, U (2020) Active Brownian motion in two dimensions under stochastic resetting. In: Physical Review E, 102 (5).

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Official URL: https://doi.org/10.1103/PhysRevE.102.052129


We study the position distribution of an active Brownian particle (ABP) in the presence of stochastic resetting in two spatial dimensions. We consider three different resetting protocols: (1) where both position and orientation of the particle are reset, (2) where only the position is reset, and (3) where only the orientation is reset with a certain rate r. We show that in the first two cases, the ABP reaches a stationary state. Using a renewal approach, we calculate exactly the stationary marginal position distributions in the limiting cases when the resetting rate r is much larger or much smaller than the rotational diffusion constant DR of the ABP. We find that, in some cases, for a large resetting rate, the position distribution diverges near the resetting point; the nature of the divergence depends on the specific protocol. For the orientation resetting, there is no stationary state, but the motion changes from a ballistic one at short times to a diffusive one at late times. We characterize the short-time non-Gaussian marginal position distributions using a perturbative approach. © 2020 American Physical Society.

Item Type: Journal Article
Publication: Physical Review E
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Author(s).
Keywords: Active Brownian particles; Limiting case; Perturbative approach; Position and orientations; Rotational diffusion; Spatial dimension; Specific protocol; Stationary state, Stochastic systems, article; case report; clinical article; diffusion coefficient; human; motion; stochastic model
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 10 Jan 2023 06:52
Last Modified: 10 Jan 2023 06:52
URI: https://eprints.iisc.ac.in/id/eprint/79002

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