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Coalescence in the 1D Cahn-Hilliard model

Simon Villain-Guillot
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Abstract

We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation. Using properties of the soliton lattices, periodic solutions of the Ginzburg-Landau equation, we have construct a family of ansatz describing continuously the processus of destabilization and period doubling predicted in Langer's self similar scenario.

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Simon Villain-Guillot. 2004-04-02. Coalescence in the 1D Cahn-Hilliard model. https://doi.org/10.1088/0305-4470%2F37%2F27%2F005

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