Long time behavior of run-and-tumble particles in two dimensions

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8068

Title:	Long time behavior of run-and-tumble particles in two dimensions
Authors:	Santra, Ion Basu, Urna Sabhapandit, Sanjib
Issue Date:	15-Mar-2023
Publisher:	IOP Publishing Ltd
Citation:	Journal of Statistical Mechanics, 2023, Vol. 2023, p033203
Abstract:	We study the long-time asymptotic behavior of the position distribution of a run-and-tumble particle (RTP) in two dimensions in the presence of translational diffusion and show that the distribution at a time t can be expressed as a perturbative series in $(\gamma t)^{-1}$, where γ−1 is the persistence time of the RTP. We show that the higher order corrections to the leading order Gaussian distribution generically satisfy an inhomogeneous diffusion equation where the source term depends on the previous order solutions. The explicit solution of the inhomogeneous equation requires the position moments, and we develop a recursive formalism to compute the same. We find that the subleading corrections undergo shape transitions as the translational diffusion is increased.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/8068
ISSN:	1742-5468
Alternative Location:	https://arxiv.org/abs/2211.07337 http://dx.doi.org/10.1088/1742-5468/acbc22 https://ui.adsabs.harvard.edu/abs/2022arXiv221107337S/abstract
Copyright:	2023 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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