title: Nonlinearly coupled flows.
abstract: We study energy flows that are coupled at a higher than linear order. A number of examples are presented where a force brings about a flow in the perpendicular direction. In some cases the symmetry of the system is such that coupling can only take place at even orders. We apply the theory to recently proposed two-dimensional devices that separate colloidal particles by ratcheting the different particles in different directions.
authors.affiliation: Department of Biochemistry and Molecular Biology and Department of Surgery, MC6035, University of Chicago, 5841 South Maryland Avenue, Chicago, Illinois 60637, USA.
authors.forename: M
authors.initials: M
authors.lastname: Bier
authors.forename: M
authors.initials: M
authors.lastname: Kostur
authors.forename: I
authors.initials: I
authors.lastname: Derényi
authors.forename: R D
authors.initials: RD
authors.lastname: Astumian
mesh_terms: D001703:Biophysics / Q000379:methods; D003102:Colloids / Q000737:chemistry; D004734:Energy Metabolism; D004735:Energy Transfer; D008390:Markov Chains; D008956:Models, Chemical; D017711:Nonlinear Dynamics
chemical_list: D003102:Colloids