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SUMMARY:Emerging symmetries and condensates in inverse cascades - Falkovic
 h\, G (Weizmann Institute of Science)
DTSTART:20080929T093000Z
DTEND:20080929T100000Z
UID:TALK13834@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I shall review symmetry aspects of turbulent inverse cascades 
 in fluid mechanics\, optics and plasma physics. Inverse cascades are gener
 ally scale invariant in distinction from most direct cascades. It has been
  recently discovered that in many cases scale scale invariance can be prom
 oted to a more general and powerful conformal invariance. Namely\, two-dim
 ensional isolines of different fields (vorticity\, temperature) belong to 
 the remarkable class of curves called Schramm-Loewner evolution (SLE). I s
 hall briefly review the properties of such curves. That discovery brings u
 nexpected connections between fluid mechanics\, mathematics (SLE was a sub
 ject of the recent Fields medal)\, theory of critical phenomena and quantu
 m field theory. I then describe the appearance of spectral condensates (mo
 des coherent across the whole system) due to inverse cascades. I briefly d
 iscuss the possible role of condensates in atmospheric physics\, including
  the controversy on the energy flux at meso-scales. I shall describe initi
 al findings on how condensates break symmetries established in inverse cas
 cades.
LOCATION:Seminar Room 1\, Newton Institute
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