Tomorrow's seminar

[Valentini]

YOU ARE CORDIALLY INVITED TO ATTEND THE:
>
> JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR
>
> Tuesday, 14 July-    17:00 hrs.
>
> Euler Lecture Hall
> ICTP Leonardo Building - terrace level
>
>
> Shanin ROUHANI
> ( Sharif University of Technology, Teheran )
>
>
> "Analysis of isoheight lines of rough surfaces using Schramm-Leowner 
> evolution (SLE)"
>
>
> Abstract
>
> We investigate the statistics of isoheight lines of some rough 
> surfaces  (simulated and grown) at different level sets around the 
> mean height in the saturation regime.  We find that these contour 
> lines are closely related to Schramm-Leowner evolutions, therefore 
> suggesting that conformal invariance is present.
> We show that the isoheight lines on the WO3 surface are conformally 
> invariant with the same statistics of domain walls in the critical 
> Ising model.  They belong to the family of Schramm-Loewner evolutions 
> with diffusivity coefficient of 3 (or SLE3).  This can be regarded as 
> the firstexperimental observation of SLE curves.
> We also investigate the statistics of isoheight lines of 2+1 
> dimensional Kardar-Parisi-Zhang (KPZ) model. We find that the exponent 
> describing the distribution of the height-cluster size behaves 
> differently for level cuts above and below the mean height, while the 
> fractal dimensions of the height-clusters and their perimeters remain 
> unchanged.  The statistics of the winding angle also confirms this 
> observation in particular that the contour lines of the KPZ model lie 
> in the same universality class as self-avoiding random walks, or SLE8/3.
>