An analytical stability theory for Faraday waves and the observation of the harmonic surface response
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
Abstract
We present an analytical stability theory for the onset of the Faraday instability, applying over a wide frequency range between shallow water gravity and deep water capillary waves. For sufficiently thin fluid layers the surface is predicted to occur in harmonic rather than subharmonic resonance with the forcing. An experimental confirmation of this result is given. PACS: 47.20.Ma, 47.20.Gv, 47.15.Cb
Keywords
Cite
@article{arxiv.patt-sol/9610006,
title = {An analytical stability theory for Faraday waves and the observation of the harmonic surface response},
author = {H. W. Mueller and H. Wittmer and C. Wagner and J. Albers and K. Knorr},
journal= {arXiv preprint arXiv:patt-sol/9610006},
year = {2009}
}
Comments
10 pages (LaTeX-file), 3 figures (Postscript) Submitted for publication