Coalescence in the 1D Cahn-Hilliard model
Other Condensed Matter
2009-11-10 v2
Abstract
We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation. Using properties of the soliton lattices, periodic solutions of the Ginzburg-Landau equation, we have construct a family of ansatz describing continuously the processus of destabilization and period doubling predicted in Langer's self similar scenario.
Cite
@article{arxiv.cond-mat/0312398,
title = {Coalescence in the 1D Cahn-Hilliard model},
author = {Simon Villain-Guillot},
journal= {arXiv preprint arXiv:cond-mat/0312398},
year = {2009}
}