Orientational probability distribution of an active Brownian particle: an analytical study

Sinha, Supurna

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7510

Title:	Orientational probability distribution of an active Brownian particle: an analytical study
Authors:	Sinha, Supurna
Keywords:	active matter Brownian motion probability distribution
Issue Date:	Aug-2020
Publisher:	IOP Publishing and SISSA
Citation:	Journal of Statistical Mechanics: Theory and Experiment, 2020, Article No.083201
Abstract:	We use the Fokker Planck equation as a starting point for studying the orientational probability distribution of an Active Brownian Particle (ABP) in (d+1) dimensions. This Fokker Planck equation admits an exact solution in series form which is, however, unwieldly to use because of poor convergence for short and intermediate times. A truncated version of this series is a reasonable approximation for long times. In this paper, we present an analytical closed form expression, which gives a good approximate orientational probability distribution, which is derived using saddle point methods for short times. However, it works well even for intermediate times. Thus, we have simple analytical forms for the entire range of time scales for the orientational probability distribution of an ABP. Our predictions can be tested against future experiments and simulations probing orientational probability distribution of an ABP.
Description:	Restricted Access
URI:	http://hdl.handle.net/2289/7510
ISSN:	1742-5468
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2020arXiv200310394S/abstract https://arxiv.org/abs/2003.10394 https://doi.org/10.1088/1742-5468/aba497
Copyright:	2020 IOP Publishing and SISSA
Appears in Collections:	Research Papers (TP)

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