Crossover from a square to a hexagonal pattern in Faraday surface waves
patt-sol
2009-10-31 v1 Pattern Formation and Solitons
Abstract
We report on surface wave pattern formation in a Faraday experiment operated at a very shallow filling level, where modes with a subharmonic and harmonic time dependence interact. Associated with this distinct temporal behavior are different pattern selection mechanisms, favoring squares or hexagons, respectively. In a series of bifurcations running through a pair of superlattices the surface wave pattern transforms between the two incompatible symmetries. The close analogy to 2D and 3D crystallography is pointed out.
Cite
@article{arxiv.patt-sol/9911001,
title = {Crossover from a square to a hexagonal pattern in Faraday surface waves},
author = {C. Wagner and H. W. Mueller and K. Knorr},
journal= {arXiv preprint arXiv:patt-sol/9911001},
year = {2009}
}
Comments
4 pages, 4 figures