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