Crossover from a square to a hexagonal pattern in Faraday surface waves

C. Wagner; H. W. Mueller; K. Knorr

doi:10.1103/physreve.62.r33

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arXiv · patt-sol/9911001

Crossover from a square to a hexagonal pattern in Faraday surface waves

C. Wagner·H. W. Mueller·K. Knorr

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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.

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C. Wagner, H. W. Mueller, K. Knorr. 1999-11-02. Crossover from a square to a hexagonal pattern in Faraday surface waves. https://doi.org/10.1103/physreve.62.r33

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