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Active Brownian Motion in Two Dimensions (1804.09027v4)
Published 24 Apr 2018 in cond-mat.stat-mech and cond-mat.soft
Abstract: We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions. The ABP has an intrinsic time scale $D_R{-1}$ set by the rotational diffusion constant $D_R$. We show that, at short-times $t \ll D_R{-1}$, the presence of `activness' results in a strongly anisotropic and non-diffusive dynamics in the $(xy)$ 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.