Non-Gaussian behaviour of a self-propelled particle on a substrate

42Citations
Citations of this article
68Readers
Mendeley users who have this article in their library.

Abstract

The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The "active" particle under study is restricted to move along a linear channel. The direction of its internal force is orientationally diffusing on a unit circle in a plane perpendicular to the substrate. An additional time-dependent torque is acting on the internal force orientation. The model is relevant for active particles like catalytically driven Janus particles and bacteria moving on a substrate. Analytical results for the first four time-dependent displacement moments are presented and analysed for several special situations. For a vanishing torque, there is a significant dynamical non-Gaussian behaviour at finite times t as signalled by a non-vanishing normalized kurtosis in the particle displacement which approaches zero for long time with a 1/t long-time tail. © B. ten Hagen, S. van Teeffelen, H. Löwen.

Cite

CITATION STYLE

APA

ten Hagen, B., van Teeffelen, S., & Löwen, H. (2009). Non-Gaussian behaviour of a self-propelled particle on a substrate. Condensed Matter Physics, 12(4), 725–738. https://doi.org/10.5488/CMP.12.4.725

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free