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Interface fluctuations under shear.

A J Bray1, A Cavagna, R D Travasso

  • 1Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
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Thermal fluctuations can destabilize layered structures in coarsening systems. This study shows stretched domains are stable in 3D but only marginally stable in 2D, impacting materials science and physics.

Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Coarsening systems under uniform shear exhibit long-time behavior with stretched, thin domains.
  • The stability of these layered structures against thermal fluctuations is a key question.

Purpose of the Study:

  • To investigate the impact of thermal fluctuations on layered structures in systems with nonconserved dynamics under uniform shear.
  • To determine the stability of stretched domains against thermal fluctuations in different dimensions.

Main Methods:

  • Studied an anisotropic version of the Burgers equation.
  • Modeled thermal fluctuations of an interface in the presence of a uniform shear flow.

Main Results:

  • Stretched domains were found to be marginally stable against thermal fluctuations in two dimensions (d=2).

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  • Stretched domains were found to be stable against thermal fluctuations in three dimensions (d=3).

    • Conclusions:

    • The stability of layered structures in coarsening systems is dimension-dependent.
    • Thermal fluctuations play a critical role in determining the long-time behavior and structural integrity of sheared systems.