Polymer dynamics
Single tethered polymer under shear flow: cyclic dynamics
The long-time dynamics of a single end-tethered chain under shear flow are studied using molecular and Brownian dynamics simulations of a flexible polymer. As observed in previous experiments with tethered DNA [Phys. Rev. Lett. 84, 4769 (2000)], under a flow sheared at constant rate the chain performs a cyclic motion. But contrary to what it has been previously suggested, a well defined characteristic period exists and, it is clearly revealed in the cross-spectra of the chain extension along flow and gradient directions. The main cycling time scales like the convective time needed by the flow to stretch the polymer, being about ten times the longest relaxation time of the chain in flow. This coherent recursive motion introduces long memory in the fluid and suggests resonance effects under periodic external forcing.R. Delgado-Buscalioni, Cyclic dynamics of a tethered polymer under shear flow, Phys. Rev. Lett. 96, 088303 (2006)