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Classification of (2+1 ) -dimensional growing surfaces using Schramm-Loewner evolution

Saberi, A. A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.82.020101
  3. Abstract:
  4. 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 (SLEκ). 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 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
  5. Keywords:
  6. Ballistic deposition ; Discrete growth models ; Growing surfaces ; Invariant properties ; Kardar-Parisi-Zhang equations ; Restricted-solid-on-solid models ; Scaling properties ; Self-avoiding random walks ; Statistical behavior ; Two-dimension ; Universality class ; Two dimensional
  7. Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 82, Issue 2 , August , 2010 ; 15393755 (ISSN)
  8. URL: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.82.020101