Interfaces in Driven Ising Models: Shear Enhances Confinement

Thomas H. R. Smith, Oleg Vasilyev, Douglas B. Abraham, Anna Maciołek, and Matthias Schmidt
Phys. Rev. Lett. 101, 067203 – Published 6 August 2008
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Abstract

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields, and a driving field parallel to the walls is applied which (i) either acts locally at the walls or (ii) varies linearly with distance across the strip. Using computer simulations with Kawasaki dynamics, we find that the system reaches a steady state in which the magnetization profile is the same as that in equilibrium, but with a rescaled length implying a reduction of the interfacial width. An analogous effect was recently observed in sheared phase-separated colloidal dispersions. Pair correlation functions along the interface decay more rapidly with distance under drive than in equilibrium and for cases of weak drive, can be rescaled to the equilibrium result.

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  • Received 25 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.067203

©2008 American Physical Society

Authors & Affiliations

Thomas H. R. Smith1, Oleg Vasilyev2, Douglas B. Abraham2,3, Anna Maciołek2,3,4, and Matthias Schmidt1

  • 1H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
  • 2Max-Planck-Institut für Metallforschung, Heisenbergstraße 3, D-70569 Stuttgart, Germany
  • 3Theoretical Physics, Department of Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 4Institute of Physical Chemistry, Polish Academy of Sciences, Department III, Kasprzaka 44/52, PL-01-224 Warsaw, Poland

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Issue

Vol. 101, Iss. 6 — 8 August 2008

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