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Asymptotic analysis of mode-coupling theory of active nonlinear microrheology

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2012

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Gnann, Manuel Victor

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https://doi.org/10.1103/PhysRevE.86.011406
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http://arxiv.org/abs/1204.2407

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Physical Review E. American Physical Society (APS). 2012, 86(1), 011406. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.86.011406

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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.

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ISO 690GNANN, Manuel Victor, Thomas VOIGTMANN, 2012. Asymptotic analysis of mode-coupling theory of active nonlinear microrheology. In: Physical Review E. American Physical Society (APS). 2012, 86(1), 011406. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.86.011406
BibTex
@article{Gnann2012-07Asymp-48590,
  year={2012},
  doi={10.1103/PhysRevE.86.011406},
  title={Asymptotic analysis of mode-coupling theory of active nonlinear microrheology},
  number={1},
  volume={86},
  issn={1539-3755},
  journal={Physical Review E},
  author={Gnann, Manuel Victor and Voigtmann, Thomas},
  note={Article Number: 011406}
}
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