1D Cahn-Hilliard dynamics : coarsening and interrupted coarsening - Archive ouverte HAL
Chapitre D'ouvrage Année : 2014

1D Cahn-Hilliard dynamics : coarsening and interrupted coarsening

Résumé

Many systems exhibit a phase where the order parameter is spatially modulated. These patterns can be the result of a frustration caused by the competition between interaction forces with opposite effects. In all models with local interactions, these ordered phases disappear in the strong segregation regime (low temperature). It is expected however that these phases should persist in the case of long range interactions, which can't be correctly described by a Ginzburg-Landau type model with only a finite number of spatial derivatives of the order parameter. An alternative approach is to study the dynamics of the phase transition or pattern formation. While, in the usual process of Ostwald ripening, succession of doubling of the domain size leads to a total segregation, or macro-segregation, C. Misbah and P. Politi have shown that long-range interactions could cause an interruption of this coalescence process, stabilizing a pattern which then remains in a micro-structured state or super-crystal. We show that this is the case for a modified Cahn-Hilliard dynamics due to Oono which includes a non local term and which is particularly well suited to describe systems with a modulated phase.
Fichier principal
Vignette du fichier
SVGNSC12book.pdf (160.05 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00933636 , version 1 (20-01-2014)

Identifiants

Citer

Simon Villain-Guillot. 1D Cahn-Hilliard dynamics : coarsening and interrupted coarsening. J. A. Tenreiro Machado, Dumitru Baleanu, Albert C J Luo. Discontinuity and Complexity in Nonlinear Physical Systems, Springer, pp.153, 2014, Nonlinear Systems and Complexity (Springer), 978-3-319-01410-4. ⟨hal-00933636⟩

Collections

CNRS LOMA
185 Consultations
507 Téléchargements

Altmetric

Partager

More