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Paper   IPM / Physic / 8798
School of Physics
  Title:   New Scaling Relations for Contour Lines of Rough Surfaces
  Author(s): 
1.  M.A. Rajabpour
2.  S.M. Vaez Allaei
  Status:   Published
  Journal: Phys. Rev. E
  Vol.:  80
  Year:  2009
  Pages:   011115
  Supported by:  IPM
  Abstract:
The scaling properties of cumulative distribution of area of iso-hight lines of rough self-affine surfaces with respect to area and system size were investigated. In addition the generating function of the area of the loops were found by getting motivation from coulomb gas results. Finally we propose some Zipf like scaling relations for racked loops. We support our proposed scaling relations with simulation results.

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