title: Feedback-induced oscillations in one-dimensional colloidal transport.
abstract: We investigate a driven, one-dimensional system of colloidal particles in a periodically corrugated narrow channel subject to a time-delayed feedback control. Our goal is to identify conditions under which the control induces oscillatory, time-periodic states. The investigations are based on the Fokker-Planck equation involving the density distribution of the system. First, by using the numerical continuation technique, we determine the linear stability of a stationary density. Second, the nonlinear regimes are analyzed by studying numerically the temporal evolution of the first moment of the density distribution. In this way we construct a bifurcation diagram revealing the nature of the instability. Apart from the case of a system with periodic boundary conditions, we also consider a microchannel of finite length. Finally, we study the influence of (repulsive) particle interactions based on dynamical density functional theory.
authors.affiliation: Institute of Theoretical Physics, Secr EW 7-1, Technical University Berlin, Hardenbergstr 36, D-10623 Berlin, Germany. lichtner@mailbox.tu-berlin.de
authors.forename: K
authors.initials: K
authors.lastname: Lichtner
authors.forename: A
authors.initials: A
authors.lastname: Pototsky
authors.forename: S H L
authors.initials: SH
authors.lastname: Klapp
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D005246:Feedback; D044085:Microfluidics / Q000379:methods*; D008956:Models, Chemical; D008958:Models, Molecular; D009038:Motion; D009991:Oscillometry / Q000379:methods*
chemical_list: D003102:Colloids