Abstract
We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions. The ABP has an intrinsic timescale set by the rotational diffusion constant . We show that, at short times , the presence of “activeness” results in a strongly anisotropic and nondiffusive dynamics in the plane. We compute exactly the marginal distributions of the and 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.
- Received 27 April 2018
- Revised 20 July 2018
DOI:https://doi.org/10.1103/PhysRevE.98.062121
©2018 American Physical Society