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Paper   IPM / Physic / 11496
School of Physics
  Title:   Classification of (2+1)-Dimensional Growing Surfaces Using Schramm-Loewner Evolution
  Author(s): 
1.  A.A. Saberi
2.  H. Dashti-Naserabadi
3.  S. Rouhani
  Status:   Published
  Journal: Phys. Rev. E (Rapid Communication)
  Vol.:  82
  Year:  2010
  Pages:   020101
  Supported by:  IPM
  Abstract:
Statistical behavior and scaling properties of iso-height lines in three different saturated two-dimensional grown surfaces with controversial universality classes are investigated using ideas from Schramm-Loewner evolution (SLEκ). We present some evidence that the iso-height 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 SLE8/3. 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.

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