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This summary is machine-generated.

This study models phase separation and coarsening on surfaces using the Cahn-Hilliard-Cook equation. Noise and mobility influence the growth rate, with lognormal distributions fitting spherical interfaces.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Surface Science

Background:

  • Phase separation and coarsening are common in natural binary systems.
  • Thermal fluctuations (stochastic noise) often influence these processes on surfaces.

Purpose of the Study:

  • To model and analyze phase segregation and coarsening on curved surfaces.
  • To investigate the impact of noise and mobility on the coarsening process.

Main Methods:

  • Utilized the Cahn-Hilliard-Cook model, a fourth-order parabolic stochastic system.
  • Performed statistical analysis of growth rates on a unit sphere and a dumbbell surface.
  • Examined the influence of noise intensity and mobility parameters.

Main Results:

  • Coarsening dynamics were analyzed on both spherical and dumbbell surfaces.
  • The effect of varying noise levels and mobility on growth rates was quantified.
  • A lognormal distribution was found to accurately describe the growth rate on the spherical interface.

Conclusions:

  • The Cahn-Hilliard-Cook model effectively simulates surface-driven phase separation and coarsening.
  • Noise and mobility are critical factors controlling the rate of coarsening.
  • Growth rate distributions can exhibit specific statistical properties, like lognormal behavior on curved surfaces.