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Article Dans Une Revue International journal of bifurcation and chaos in applied sciences and engineering Année : 2009

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

Résumé

We use a family of stationary solutions of the Cahn-Hilliard dynamics with the aim of describing the process of coarsening during a first order phase transition. With this analytical ansatz, we can compute the characteristic time for one step of period doubling in Langer's self-similar scenario for Ostwald ripening. As an application, the same ansatz is also used to compute the thermodynamically stable period of a 1D modulated phase pattern, described by a modified Cahn-Hilliard dynamics with a long range interaction term.

Dates et versions

hal-00670571 , version 1 (15-02-2012)

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Simon Villain-Guillot. 1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems. International journal of bifurcation and chaos in applied sciences and engineering , 2009, 19 (10), pp.3541-3552. ⟨10.1142/s0218127409024980⟩. ⟨hal-00670571⟩

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