Please use this identifier to cite or link to this item:
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
ISSN: 2470-0045
2470-0053 (Online)
Alternative Location:
Copyright: 2020 American Physical Society
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2020_Phys Rev E_Vol.102_Article No.052129.pdfOpen Access2.06 MBAdobe PDFView/Open

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.