Active Brownian motion in two dimensions
Abstract
We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions. The ABP has an intrinsic timescale DR-1 set by the rotational diffusion constant DR. We show that, at short times t ≪DR-1 , the presence of "activeness" results in a strongly anisotropic and nondiffusive dynamics in the (x y ) plane. We compute 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.
- Publication:
-
Physical Review E
- Pub Date:
- December 2018
- DOI:
- 10.1103/PhysRevE.98.062121
- arXiv:
- arXiv:1804.09027
- Bibcode:
- 2018PhRvE..98f2121B
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 11 pages, 4 figures, published version (typos corrected)