Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation
Condensed Matter
2009-10-28 v1 adap-org
Adaptation and Self-Organizing Systems
Abstract
We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization group calculation. For a system in which the lattice spacing is smaller than the typical wavelength of the linear instability occurring in the system, the large-distance and long-time behavior of this equation is the same as for the Kardar-Parisi-Zhang equation in one and two spatial dimensions. For the case the agreement is only qualitative. On the other hand, when coarse-graining on larger scales the asymptotic flow depends on the initial values of the parameters.
Keywords
Cite
@article{arxiv.cond-mat/9505076,
title = {Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation},
author = {Rodolfo Cuerno and Kent Baekgaard Lauritsen},
journal= {arXiv preprint arXiv:cond-mat/9505076},
year = {2009}
}
Comments
8 pages, 5 figures, revtex