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Large scale simulations of the two-dimensional Cahn-Hilliard model

Author

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  • Toral, Raúl
  • Chakrabarti, Amitabha
  • Gunton, James D.

Abstract

We review some recent numerical studies of the Cahn-Hilliard model in two dimensions, for phase separation with different values of the minority area fraction φ. We find that dynamical scaling is satisfied at sufficiently late times for the pair correlation function, the structure factor and the droplet distribution function. We study how the shape of these scaling functions change with the area fractions and compare these results with available theoretical predictions. The time dependence of the characteristics length is consistent with an asymptotic growth law exponent 13 for all area fractions.

Suggested Citation

  • Toral, Raúl & Chakrabarti, Amitabha & Gunton, James D., 1995. "Large scale simulations of the two-dimensional Cahn-Hilliard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(1), pages 41-49.
    • Handle: RePEc:eee:phsmap:v:213:y:1995:i:1:p:41-49
    DOI: 10.1016/0378-4371(94)00146-K
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    Cited by:

    1. Abyzov, A.S. & Davydov, L.N. & Mchedlov-Petrosyan, P.O. & Schmelzer, J., 1999. "Spinodal decomposition in systems with initially quenched fluctuations of the order parameter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 459-480.
    2. Kang Zhang & Wen-Si Hu & Quan-Xing Liu, 2020. "Quantitatively Inferring Three Mechanisms from the Spatiotemporal Patterns," Mathematics, MDPI, vol. 8(1), pages 1-13, January.

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