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Updated: Jul 13, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
How short-range attractions impact the structural order, self-diffusivity, and viscosity of a fluid
William P Krekelberg1, Jeetain Mittal, Venkat Ganesan
1Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA. krekel@che.utexas.edu
Abstract:
We present molecular simulation data for viscosity, self-diffusivity, and the local structural ordering of (i) a hard-sphere fluid and (ii) a square-well fluid with short-range attractions. The latter fluid exhibits a region of dynamic anomalies in its phase diagram, where its mobility increases upon isochoric cooling, which is found to be a subset of a larger region of structural anomalies, in which its pair correlations strengthen upon isochoric heating. This "cascade of anomalies" qualitatively resembles that found in recent simulations of liquid water. The results for the hard-sphere and square-well systems also show that the breakdown of the Stokes-Einstein relation upon supercooling occurs for conditions where viscosity and self-diffusivity develop different couplings to the degree of pairwise structural ordering of the liquid. We discuss how these couplings reflect dynamic heterogeneities. Finally, we note that the simulation data suggest how repulsive and attractive glasses may generally be characterized by two distinct levels of short-range structural order.
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