title: Classification of (2+1) -dimensional growing surfaces using Schramm-Loewner evolution.
abstract: Statistical behavior and scaling properties of isoheight lines in three different saturated two-dimensional grown surfaces with controversial universality classes are investigated using ideas from Schramm-Loewner evolution (SLE_{κ}). We present some evidence that the isoheight lines in the ballistic deposition (BD), Eden and restricted solid-on-solid (RSOS) models have conformally invariant properties all in the same universality class as the self-avoiding random walk (SAW), equivalently SLE_{8/3}. This leads to the conclusion that all these discrete growth models fall into the same universality class as the Kardar-Parisi-Zhang (KPZ) equation in two dimensions.
authors.affiliation: Institute for Research in Fundamental Sciences, Tehran, Iran. a_saberi@ipm.ir
authors.forename: A A
authors.initials: AA
authors.lastname: Saberi
authors.forename: H
authors.initials: H
authors.lastname: Dashti-Naserabadi
authors.forename: S
authors.initials: S
authors.lastname: Rouhani
mesh_terms: D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D046911:Macromolecular Substances / Q000737:chemistry*; D008956:Models, Chemical; D008958:Models, Molecular; D008968:Molecular Conformation
chemical_list: D046911:Macromolecular Substances