Rhombic Patterns Near a Bicritical Point in Periodically Forced Surface Waves
arXiv:2008.06847
Abstract
We present here a study of selection of rhombic patterns close to a bicritical point at the onset of primary surface instability in viscous fluids under two-frequency vertical vibration. Rhombic patterns appear to be natural at the primary instability in the form of a bicritical point if the ratio of driving frequencies is selected properly. We present two different patterns which may be accessible in a Faraday experiment.
11 pages, 4 figures; Revised version of the paper published in Indian Journal of Physics; Changes include typo corrections, colour figures, and enhanced citations
References in corpus (7)
- Superlattice Patterns in Surface Waves
- Amplitude equations and pattern selection in Faraday waves
- Amplitude equations and pattern selection in Faraday waves
- Nonlinear Competition Between Small and Large Hexagonal Patterns
- Parametrically Excited Surface Waves: Two-Frequency Forcing, Normal Form Symmetries, and Pattern Selection
- Broken symmetries and pattern formation in two-frequency forced Faraday waves
- Pattern formation at the bi-critical point of the Faraday instability