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1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems

Simon Villain-Guillot
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Abstract

Using an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition, we compute the characteristic time for one step of period doubling in Langer's self similar scenario for Ostwald ripening. As an application, we compute the thermodynamically stable period of a 1D modulated phase pattern.

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Simon Villain-Guillot. 2007-03-29. 1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems. https://doi.org/10.1016/j.physleta.2008.10.051

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