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Paper   IPM / P / 9476
School of Physics
  Title:   Scaling of Clusters and Winding Angle Statistics of Iso-Height Lines in Two-Dimensional Kardar-Parisi-Zhang Surface
1.  A.A. Saberi
2.  S. Rouhani
  Status:   Published
  Journal: Phys. Rev. E
  Vol.:  79
  Year:  2009
  Pages:   036102
  Supported by:  IPM
We investigate the statistics of Iso-height lines of (2+1)-dimensional Kardar-Parisi-Zhang model at different level sets around the mean height in the saturation regime. 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 winding angle statistics also confirms again the conformal invariance of these contour lines in the same universality class of self-avoiding random walks (SAWs).

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