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Asymptotic analysis of mode-coupling theory of active nonlinear microrheology

Gnann, M. V. and Voigtmann, Th. (2012) Asymptotic analysis of mode-coupling theory of active nonlinear microrheology. Physical Review E, 86, 011406. DOI: 10.1103/PhysRevE.86.011406.

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Official URL: http://link.aps.org/doi/10.1103/PhysRevE.86.011406


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 coefficient of the probe, the asymptotic expressions cause various regimes of power-law variation with the external force, and two-parameter scaling laws.

Document Type:Article
Title:Asymptotic analysis of mode-coupling theory of active nonlinear microrheology
AuthorsInstitution or Email of Authors
Voigtmann, Th.thomas.voigtmann@dlr.de
Date:23 July 2012
Journal or Publication Title:Physical Review E
Refereed publication:Yes
In Open Access:No
In ISI Web of Science:No
Page Range:011406
Keywords:microrheology, mode-coupling theory, glass transition, colloidal suspensions
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Materialwissenschaftliche Forschung
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Dr.rer.nat. Thomas Voigtmann
Deposited On:24 Jul 2012 09:00
Last Modified:16 Feb 2016 05:04

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