Coarsening by Ginzburg-Landau Dynamics
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
We study slowly moving solutions of the real Ginzburg-Landau equation on the line, by a method due to J. Carr and R.L. Pego. These are functions taking alternately positive or negative values on large intervals. A consequence of our approach is that we can propose a rigorous derivation of a stochastic model of coarsening by successive elimination of the smallest interval, which was described in earlier work by A.J. Bray, B. Derrida and C. Godr\`eche.
Cite
@article{arxiv.chao-dyn/9706012,
title = {Coarsening by Ginzburg-Landau Dynamics},
author = {J. -P. Eckmann and J. Rougemont},
journal= {arXiv preprint arXiv:chao-dyn/9706012},
year = {2009}
}
Comments
30 pages, TeX + postscript figures