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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Asymptotic analysis of mode-coupling theory of active nonlinear microrheology
Manuel Gnann and Thomas VoigtmannAbstract
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 steadystate velocity by locally melting the glass. Asymptotic expressions for the transient 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 correlator. For the nonlinear friction coefficient of the probe, the asymptotic expressions give rise to two-parameter scaling laws.
- Received:
- 10.04.12
- Published:
- 12.04.12
- PACS:
- 82.70.-y, 64.70.pv, 83.10.-y
- Keywords:
- Colloidal dispersions, suspensions, and aggregates