Anomalous scaling for 3d Cahn-Hilliard fronts
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We prove the stability of the one dimensional kink solution of the Cahn-Hilliard equation under d-dimensional perturbations for d > 2. We also establish a novel scaling behavior of the large time asymptotics of the solution. The leading asymptotics of the solution is characterized by a length scale proportional to the cubic root of t instead of the usual square root of t scaling typical to parabolic problems.
Keywords
Cite
@article{arxiv.math-ph/0402026,
title = {Anomalous scaling for 3d Cahn-Hilliard fronts},
author = {Timo Korvola and Antti Kupiainen and Jari Taskinen},
journal= {arXiv preprint arXiv:math-ph/0402026},
year = {2007}
}
Comments
34 pages, 4 figures