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SUMMARY:Three-wave interactions in problems with two length scales: Farada
 y waves and soft-matter quasicrystals - Rucklidge\, A (University of Leeds
 )
DTSTART:20130111T113000Z
DTEND:20130111T121000Z
UID:TALK42389@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Three-wave interactions form the basis of our understanding of
  many pattern-forming systems because they encapsulate the most basic nonl
 inear interactions. 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 inte
 ract with one wave of the shorter. Consideration of both types of three-wa
 ve 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 ex
 periment\, where a viscous fluid is subjected to vertical vibration. Our r
 esults enable some previously unexplained experimental observations of spa
 tiotemporal chaos in the Faraday wave experiment to be interpreted in a ne
 w light\; application to quasicrystals recently observed in self-assembled
  colloidal systems is more speculative. \n
LOCATION:Seminar Room 1\, Newton Institute
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