Tomorrow's seminar

[CM]

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.