Far-from-equilibrium sheared colloidal liquids: Disentangling relaxation, advection, and shear-induced diffusion

Neil Y. C. Lin, Sushmit Goyal, Xiang Cheng, Roseanna N. Zia, Fernando A. Escobedo, and Itai Cohen
Phys. Rev. E 88, 062309 – Published 18 December 2013

Abstract

Using high-speed confocal microscopy, we measure the particle positions in a colloidal suspension under large-amplitude oscillatory shear. Using the particle positions, we quantify the in situ anisotropy of the pair-correlation function, a measure of the Brownian stress. From these data we find two distinct types of responses as the system crosses over from equilibrium to far-from-equilibrium states. The first is a nonlinear amplitude saturation that arises from shear-induced advection, while the second is a linear frequency saturation due to competition between suspension relaxation and shear rate. In spite of their different underlying mechanisms, we show that all the data can be scaled onto a master curve that spans the equilibrium and far-from-equilibrium regimes, linking small-amplitude oscillatory to continuous shear. This observation illustrates a colloidal analog of the Cox-Merz rule and its microscopic underpinning. Brownian dynamics simulations show that interparticle interactions are sufficient for generating both experimentally observed saturations.

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  • Received 21 June 2013
  • Revised 9 October 2013

DOI:https://doi.org/10.1103/PhysRevE.88.062309

©2013 American Physical Society

Authors & Affiliations

Neil Y. C. Lin1, Sushmit Goyal2, Xiang Cheng1,3, Roseanna N. Zia2, Fernando A. Escobedo2, and Itai Cohen1

  • 1Department of Physics, Cornell University, Ithaca, New York 14853, USA
  • 2Department of Chemical and Biomolecular Engineering, Cornell University, Ithaca, New York 14853, USA
  • 3Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA

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Vol. 88, Iss. 6 — December 2013

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