Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Poster - Statistical Physics, Critical Phenomena, Brownian motion

DY 27.11: Poster

Tuesday, March 8, 2016, 18:15–21:00, Poster C

Transport of colloidal particles under the impact of time-delayed feedback control — •Sarah A. M. Loos and Sabine H. L. Klapp — Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, D-10623 Berlin, Germany

We explore possibilities to analytically investigate the influence of time-delayed feedback control on transport and diffusion of overdamped Brownian particles in one dimension [1]. In particular, we consider particles in static external potentials supplemented by linear feedback forces, where the delayed particle position serves as control target. We use both, the equation of motion which is given by a non-Markovian Langevin equation, and the equation of the temporal evolution of the corresponding probability density field, i.e., the delayed Fokker-Planck equation [2,3]. We have thus access to the fluctuating trajectories as well as to the deterministic evolution of the density field. We focus on theoretical predictions of transport and diffusion properties such as the mean particle position and the mean squared displacement. In order to validate our analytical findings, we compare them with numerical results obtained by Brownian dynamics simulations. We further discuss possible applications to the case of interacting particles.
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