Active Brownian particles in two-dimensional traps
Department of Mathematics and Applied Mathematics, University of Cape Town Cape Town 7701 Rondebosch, South Africa
2 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstrasse 36, 10623, Berlin, Germany, EU
Accepted: 14 May 2012
We consider a population of self-propelled Brownian particles in 2D traps. For non-interacting particles the stationary distribution for position and orientation is found analytically for small and large rotational diffusivities. These results are used to map the system of interacting active particles onto a system of passive particles in a modified trapping potential which we then formulate as a dynamic density functional theory. Our approach is supported by Brownian dynamics simulations of the original and the effective model.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 87.10.Mn – Stochastic modeling / 87.17.Jj – Cell locomotion, chemotaxis
© EPLA, 2012