Mesoscopic simulation of Ostwald ripening

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Abstract

The self-organization of particles in a two phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. This phenomenon is an example of a multiscale problem in that the microscopic level interaction of the particles can greatly impact the macroscale or observable morphology of the system. Ostwald ripening is studied here through the use of a mesoscopic model which is a stochastic partial integrodifferential equation that is derived from a spin exchange Ising model. This model is studied through the use of recently developed and benchmarked spectral schemes for the simulation of solutions to stochastic partial differential equations. The typical cluster size is observed to grow like tfrac(1, 3) over range of times with faster growth at later times. The results included here also demonstrate the effect of adjusting the interparticle interaction on the morphological evolution of the system at the macroscopic level.

Original languageEnglish (US)
Pages (from-to)429-441
Number of pages13
JournalJournal of Computational Physics
Volume218
Issue number1
DOIs
StatePublished - Oct 10 2006

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • 65C30
  • 68U20
  • 82C80
  • Lifshitz-Slyozov growth law
  • Mesoscopic models
  • Monte Carlo simulation
  • Spectral methods
  • Stochastic partial differential equations

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