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SUMMARY:Classification of rough surfaces using Schramm-Loewner evolution -
  Rouhani\, S (Sharif University of Technology\, Tehran)
DTSTART:20121122T113000Z
DTEND:20121122T123000Z
UID:TALK41612@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The theory of Schramm-Loewner Evolution (SLEk) was developed o
 riginally as the theory of random curves with conformally invariant probab
 ility distribution\, describing domain interfaces at criticality. I argue 
 that iso-height lines on rough surfaces can also be regarded as SLEk. This
  may be regarded as evidence of conformal invariance in systems far from e
 quilibrium. Perhaps this connection provides a new avenue for classificati
 on of self-affine surfaces in 2+1 dimensions. In this talk I present numer
 ical evidence that SLE curves exist on rough surfaces. In particular I ana
 lyze the KPZ surface\, having the same exponent as the self avoiding walk 
 (SAW). I also present evidence that a physically grown Deposited WO3 surfa
 ce has k=3\, i.e. it is in the Ising class. Finally I discuss the Abelian 
 Sandpile model and the Explosive Percolation (Watersheds).\n
LOCATION:Seminar Room 1\, Newton Institute
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