Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1998-03-12
Physica D, vol 123, p. 99-111, (1998).
Nonlinear Sciences
Chaotic Dynamics
15 pages, 14 figures (gif), to appear in Physica D
Scientific paper
10.1016/S0167-2789(98)00115-8
We report novel superlattice wave patterns at the interface of a fluid layer driven vertically. These patterns are described most naturally in terms of two interacting hexagonal sublattices. Two frequency forcing at very large aspect ratio is utilized in this work. A superlattice pattern ("superlattice-I") consisting of two hexagonal lattices oriented at a relative angle of 22^o is obtained with a 6:7 ratio of forcing frequencies. Several theoretical approaches that may be useful in understanding this pattern have been proposed. In another example, the waves are fully described by two superimposed hexagonal lattices with a wavelength ratio of sqrt(3), oriented at a relative angle of 30^o. The time dependence of this "superlattice-II" wave pattern is unusual. The instantaneous patterns reveal a time-periodic stripe modulation that breaks the 6-fold symmetry at any instant, but the stripes are absent in the time average. The instantaneous patterns are not simply amplitude modulations of the primary standing wave. A transition from the superlattice-II state to a 12-fold quasi-crystalline pattern is observed by changing the relative phase of the two forcing frequencies. Phase diagrams of the observed patterns (including superlattices, quasicrystalline patterns, ordinary hexagons, and squares) are obtained as a function of the amplitudes and relative phases of the driving accelerations.
Gollub J. P.
Kudrolli Arshad
Pier B.
No associations
LandOfFree
Superlattice Patterns in Surface Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Superlattice Patterns in Surface Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superlattice Patterns in Surface Waves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-328723