Patterns in the Kardar-Parisi-Zhang equation
Statistical Mechanics
2009-11-13 v1
Abstract
We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many body picture of a growing interface in terms of a network of localized growth modes. Scaling in 1d is associated with a gapless domain wall mode. The method also provides an independent argument for the existence of an upper critical dimension.
Cite
@article{arxiv.0802.1285,
title = {Patterns in the Kardar-Parisi-Zhang equation},
author = {Hans C. Fogedby},
journal= {arXiv preprint arXiv:0802.1285},
year = {2009}
}
Comments
8 pages revtex, 4 eps figures