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

Simon Villain-Guillot (1)

1 CPMOH - Centre de physique moléculaire optique et hertzienne

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.

Domaines: Autre [cond-mat.other]

Simon Villain-Guillot. 1D Cahn-Hilliard equation: Ostwald ripening and application to modulated phase systems. Physics Letters A, 2008, 372, pp.7161-7164. ⟨10.1016/j.physleta.2008.10.051⟩. ⟨hal-00139155⟩