Time-dependent active microrheology in dilute colloidal suspensions

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2018
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Leitmann, Sebastian
Mandal, Suvendu
Puertas, Antonio M.
Franosch, Thomas
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Physical Review Fluids. 2018, 3(10), 103301. eISSN 2469-990X. Available under: doi: 10.1103/PhysRevFluids.3.103301
Zusammenfassung

In a microrheological setup a single probe particle immersed in a complex fluid is exposed to a strong external force driving the system out of equilibrium. Here, we elaborate analytically the time-dependent response of a probe particle in a dilute suspension of Brownian particles to a large step force, exact in first order of the density of the bath particles. The time-dependent drift velocity approaches its stationary-state value exponentially fast for arbitrarily small driving in striking contrast to the power-law prediction of linear response encoded in the long-time tails of the velocity autocorrelation function. We show that the stationary-state behavior depends nonanalytically on the driving force and connect this behavior to the persistent correlations in the equilibrium state. We argue that this relation holds generically. Furthermore, we elaborate that the fluctuations in the direction of the force display transient superdiffusive behavior.

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ISO 690LEITMANN, Sebastian, Suvendu MANDAL, Matthias FUCHS, Antonio M. PUERTAS, Thomas FRANOSCH, 2018. Time-dependent active microrheology in dilute colloidal suspensions. In: Physical Review Fluids. 2018, 3(10), 103301. eISSN 2469-990X. Available under: doi: 10.1103/PhysRevFluids.3.103301
BibTex
@article{Leitmann2018-10-11Timed-43959,
  year={2018},
  doi={10.1103/PhysRevFluids.3.103301},
  title={Time-dependent active microrheology in dilute colloidal suspensions},
  number={10},
  volume={3},
  journal={Physical Review Fluids},
  author={Leitmann, Sebastian and Mandal, Suvendu and Fuchs, Matthias and Puertas, Antonio M. and Franosch, Thomas},
  note={Article Number: 103301}
}
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