Asymptotic analysis of mode-coupling theory of active nonlinear microrheology

Abstract

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.

17 pages, 12 figures

References in corpus (3)

• A mode coupling theory for Brownian particles in homogeneous steady shear flow
• Active and Nonlinear Microrheology in Dense Colloidal Suspensions
• Long-Wavelength Anomalies in the Asymptotic Behavior of Mode-Coupling Theory

Cited by in corpus (5)

• Nonlinear microrheology of dense colloidal suspensions: a mode-coupling theory
• Time-Dependent Fluctuations and Superdiffusivity in the Driven Lattice Lorentz Gas
• Local elastic response measured near the colloidal glass transition
• Time-dependent active microrheology in dilute colloidal suspensions
• Time-dependent perpendicular fluctuations in the driven lattice Lorentz gas