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Title: Active Brownian Motion in Two Dimensions
Authors: Basu, Urna
Majumdar, Satya N.
Rosso, Alberto
Schehr, Gregory
Issue Date: 14-Dec-2018
Publisher: American Physical Society
Citation: Physical. Review. E , 2018, vol .98; p062121
Abstract: We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions. The ABP has an intrinsic timescale D−1R set by the rotational diffusion constant DR. We show that, at short times t≪D−1R, the presence of “activeness” results in a strongly anisotropic and nondiffusive dynamics in the (xy) plane. Wecompute exactly the marginal distributions of the x and y position coordinates along with the radial distribution, which are all shown to be non-Brownian. In addition, we show that, at early times, the ABP has anomalous first-passage properties, characterized by non-Brownian exponents.
Description: Open Access
ISSN: 2470-0045 (print)
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Copyright: ©2018 American Physical Society
Appears in Collections:Research Papers (TP)

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