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Time-dependent active microrheology in dilute colloidal suspensions

Sebastian Leitmann1, Suvendu Mandal1, Matthias Fuchs2, Antonio M. Puertas3, and Thomas Franosch1,*

  • 1Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
  • 2Fachbereich Physik, Universität Konstanz, 78457 Konstanz, Germany
  • 3Group of Complex Fluids Physics, Department of Applied Physics, University of Almería, 04120 Almería, Spain

  • *thomas.franosch@uibk.ac.at
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Phys. Rev. Fluids 3, 103301 – Published 11 October, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.103301

Abstract

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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Phys. Rev. Fluids 3, 103301– Published 11 October, 2018
  • Received 20 October 2017
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