Phase field formulations for modeling the Ostwald ripening in two-phase systems

Danan Fan, Long Qing Chen, S. P. Chen, Peter W. Voorhees

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42 Scopus citations


Phase field formulations have been constructed for modeling Ostwald ripening in two-phase systems. The microstructural evolution and the kinetics of Ostwald ripening were studied by numerically solving the time-dependent Ginzburg-Landau (TDGL) equations. The simulated microstructures are in a striking resemblance with experimental observations. The shape accommodation of second phase particles occurs as the volume fraction increases. It was observed that these two-phase systems reach the steady state or scaling state after a short transient time and the scaling functions are independent of time for all volume fractions of the second phase. The kinetics of Ostwald ripening in a two-phase mixture have been studied over a range of volume fractions of the coarsening phase. It was found that the coarsening kinetics of second phase particles follows the power growth law Rmt - Rm0 = kt with m = 3, which is independent of the volume fraction of the coarsening phase. The kinetic coefficient k increases significantly as the volume fraction of the coarsening phase increases.

Original languageEnglish (US)
Pages (from-to)329-336
Number of pages8
JournalComputational Materials Science
Issue number3-4
StatePublished - Jan 1998

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • General Chemistry
  • General Materials Science
  • Mechanics of Materials
  • General Physics and Astronomy
  • Computational Mathematics


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