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Hydrodynamics of confined colloidal fluids in two dimensions

Jimaan Sané1,2, Johan T. Padding3, and Ard A. Louis1

  • 1Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 2Department of Chemistry, Cambridge University, Lensfield Road, Cambridge CB2 1EW, United Kingdom
  • 3Computational Biophysics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands

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Phys. Rev. E 79, 051402 – Published 12 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.051402

Abstract

We apply a hybrid molecular dynamics and mesoscopic simulation technique to study the dynamics of two-dimensional colloidal disks in confined geometries. We calculate the velocity autocorrelation functions and observe the predicted t−1 long-time hydrodynamic tail that characterizes unconfined fluids, as well as more complex oscillating behavior and negative tails for strongly confined geometries. Because the t−1 tail of the velocity autocorrelation function is cut off for longer times in finite systems, the related diffusion coefficient does not diverge but instead depends logarithmically on the overall size of the system. The Langevin equation gives a poor approximation to the velocity autocorrelation function at both short and long times.

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Phys. Rev. E 79, 051402– Published 12 May, 2009
  • Received 18 December 2008

© 2009 American Physical Society

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