Three-wave interactions, quasipatterns and spatiotemporal chaos in systems with two length scales.

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• Alastair Rucklidge (Leeds)
• Thursday 27 November 2014, 16:00-17:00
• Muirhead 122.

If you have a question about this talk, please contact Alexandra Tzella.

In problems with two comparable length scales, it is possible for two waves of the shorter wavelength to interact with one wave of the longer, as well as for two waves of the longer wavelength to interact with one wave of the shorter. Consideration of both types of three-wave interactions can generically explain the presence of complex patterns, such as quasipatterns, and spatiotemporal chaos. Two length scales arise naturally in some examples of polymer micelles and in the Faraday wave experiment, where a viscous fluid is subjected to vertical vibration. Our results enable some previously unexplained experimental observations of spatiotemporal chaos in the Faraday wave experiment to be interpreted in a new light; application to reaction-diffusion systems and to quasicrystals recently observed in self-assembled colloidal systems is more speculative.

This talk is part of the Applied Mathematics Seminar Series series.

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• Applied Mathematics Seminar Series
• Muirhead 122
• School of Mathematics Events

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