1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems
Language
en
Article de revue
This item was published in
International journal of bifurcation and chaos in applied sciences and engineering. 2009, vol. 19, n° 10, p. 3541-3552
World Scientific Publishing
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Pattern formation
Cahn-Hilliard dynamics
nonlinear dynamics
symmetry breaking
Origin
Hal imported