Comparison of phase-field and potts models for coarsening processes

V. Tikare, E. A. Holm, D. Fan, Long-qing Chen

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

We have compared the phase-field model to the Potts model for two coarsening processes, grain growth and Ostwald ripening, both in two-dimensions. The Potts model is a discrete, statistical mechanical numerical simulation technique. In contrast, the phase-field model is a continuum, thermodynamic numerical simulation technique. The similarities and differences in microstructures, kinetics, and grain size distributions obtained for grain growth and Ostwald ripening by the phase-field model and by the Potts model were investigated. Both models gave very similar kinetic, topological and grain size distribution results for grain growth and Ostwald ripening in spite of their different approaches. In this paper, we review each model and its application to coarsening processes, present the results of grain growth and Ostwald ripening and finally, discuss how the physics of grain growth and Ostwald ripening is incorporated into these two different models.

Original languageEnglish (US)
Pages (from-to)363-371
Number of pages9
JournalActa Materialia
Volume47
Issue number1
DOIs
StatePublished - Dec 11 1998

Fingerprint

Potts model
Coarsening
Ostwald ripening
Grain growth
Kinetics
Computer simulation
Physics
Thermodynamics
Microstructure

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

Cite this

Tikare, V. ; Holm, E. A. ; Fan, D. ; Chen, Long-qing. / Comparison of phase-field and potts models for coarsening processes. In: Acta Materialia. 1998 ; Vol. 47, No. 1. pp. 363-371.
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Comparison of phase-field and potts models for coarsening processes. / Tikare, V.; Holm, E. A.; Fan, D.; Chen, Long-qing.

In: Acta Materialia, Vol. 47, No. 1, 11.12.1998, p. 363-371.

Research output: Contribution to journalArticle

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