2012/04/11 by Manuel Victor Gnann, Thomas Voigtmann · 1 citation
Physics and Astronomy · #cond-mat.soft
paper · pdf · doi:10.1103/physreve.86.011406
published as Phys. Rev. E 86, 011406 (2012) · 17 pages, 12 figures
arxiv created 2012/04/11 · arxiv updated 2018/07/11
We discuss a schematic model of mode-coupling theory for force-driven active nonlinear microrheology, where a single probe particle is pulled by a constant external force through a dense host medium. The model exhibits both a glass transition for the host, and a force-induced delocalization transition, where an initially localized probe inside the glassy host attains a nonvanishing steady-state velocity by locally melting the glass. Asymptotic expressions for the transient density correlation functions of the schematic model are derived, valid close to the transition points. There appear several nontrivial time scales relevant for the decay laws of the correlators. For the nonlinear friction coeffcient of the probe, the asymptotic expressions cause various regimes of power-law variation with the external force, and two-parameter scaling laws.