2007/12/18 by Abbas Ali Saberi, A. A. Saberi, M. A. Rajabpour +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Conformal map #Geometry #Invariant (physics) #Ising model #Kappa #Mathematical physics #Mathematics #Physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.100.044504
published as Phys. Rev. Lett. 100, 044504 (2008) · 4 pages, 6 figures. accepted in PRL
arxiv created 2007/12/18 · openalex publication_date 2008/01/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have studied the isoheight lines on the WO3 surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invariant with the same statistics of domain walls in the critical Ising model. They belong to the family of conformal invariant curves called Schramm-Loewner evolution (or SLE(kappa)), with diffusivity of kappa approximately 3. This can be regarded as the first experimental observation of SLE curves. We have also argued that Ballistic Deposition (BD) can serve as a growth model giving rise to contours with similar statistics at large scales.