Theoretical Model for Faraday Waves with Multiple-Frequency Forcing
Soft Condensed Matter
2009-10-30 v2 chao-dyn
Chaotic Dynamics
Pattern Formation and Solitons
patt-sol
Abstract
A simple generalization of the Swift-Hohenberg equation is proposed as a model for the pattern-forming dynamics of a two-dimensional field with two unstable length scales. The equation is used to study the dynamics of surface waves in a fluid driven by a linear combination of two frequencies. The model exhibits steady-state solutions with two-, four-, six-, and twelve-fold symmetric patterns, similar to the periodic and quasiperiodic patterns observed in recent experiments.
Cite
@article{arxiv.cond-mat/9704060,
title = {Theoretical Model for Faraday Waves with Multiple-Frequency Forcing},
author = {Ron Lifshitz and Dean M. Petrich},
journal= {arXiv preprint arXiv:cond-mat/9704060},
year = {2009}
}
Comments
4 pages, 2 figures. Final published version. Also available at http://www.cmp.caltech.edu/~lifshitz/patterns.html