Title:	Run-and-tumble particles in two dimensions: Marginal position distributions
Authors:	Santra, Ion Basu, Urna Sabhapandit, Sanjib
Issue Date:	Jun-2020
Publisher:	American Physical Society
Citation:	Physical Review E, 2020, Vol.101, Article No.062120
Abstract:	We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a continuous variable. We calculate exactly the marginal position distributions for n = 3,4 and the continuous case and show that in all the cases the RTP shows a cross-over from a ballistic to diffusive regime. The ballistic regime is a typical signature of the active nature of the systems and is characterized by non-trivial position distributions which depends on the specific model. We also show that, the signature of activity at long-times can be found in the atypical fluctuations which we also characterize by computing the large deviation functions explicitly.
Description:	Open Access
URI:	http://hdl.handle.net/2289/7494
ISSN:	2470-0045 2470-0053 (Online)
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2020arXiv200407562S/abstract https://arxiv.org/abs/2004.07562 https://doi.org/10.1103/PhysRevE.101.062120
Copyright:	2020 American Physical Society
Appears in Collections:	Research Papers (TP)

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