English

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

Other Condensed Matter 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0703782,
  title  = {1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems},
  author = {Simon Villain-Guillot},
  journal= {arXiv preprint arXiv:cond-mat/0703782},
  year   = {2009}
}