Title:	Active Brownian motion in two dimensions under stochastic resetting
Authors:	Kumar, Vijay Sadekar, Onkar Basu, Urna
Issue Date:	Nov-2020
Publisher:	American Physical Society
Citation:	Physical Review E, 2020, Vol. 102, Article No.052129
Abstract:	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 : (I) where both position and orientation of the particle are reset, (II) where only the position is reset, and (III) 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.
Description:	Open Access
URI:	http://hdl.handle.net/2289/7597
ISSN:	2470-0045 2470-0053 (Online)
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2020arXiv200803294K/abstract https://arxiv.org/abs/2008.03294 https://doi.org/10.1103/PhysRevE.102.052129
Copyright:	2020 American Physical Society
Appears in Collections:	Research Papers (TP)

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