Hydrodynamics of the Kuramoto-Sivashinsky Equation in Two Dimensions
Soft Condensed Matter
2016-08-31 v1 chao-dyn
Disordered Systems and Neural Networks
Statistical Mechanics
Chaotic Dynamics
Pattern Formation and Solitons
patt-sol
Abstract
The large scale properties of spatiotemporal chaos in the 2d Kuramoto-Sivashinsky equation are studied using an explicit coarse graining scheme. A set of intermediate equations are obtained. They describe interactions between the small scale (e.g., cellular) structures and the hydrodynamic degrees of freedom. Possible forms of the effective large scale hydrodynamics are constructed and examined. Although a number of different universality classes are allowed by symmetry, numerical results support the simplest scenario, that being the KPZ universality class.
Keywords
Cite
@article{arxiv.cond-mat/9911069,
title = {Hydrodynamics of the Kuramoto-Sivashinsky Equation in Two Dimensions},
author = {Bruce Boghosian and Carson C. Chow and Terence Hwa},
journal= {arXiv preprint arXiv:cond-mat/9911069},
year = {2016}
}
Comments
4 pages, 3 figures