Distribution of shortest paths in percolation

نویسندگان

  • Nikolay V. Dokholyan
  • Sergey V. Buldyrev
  • Shlomo Havlin
  • Peter R. King
  • Youngki Lee
  • H. Eugene Stanley
چکیده

We present a scaling Ansatz for the distribution function of the shortest paths connecting any two points on a percolating cluster which accounts for (i) the e ect of the nite size of the system, and (ii) the dependence of this distribution on the site occupancy probability p. We present evidence supporting the scaling Ansatz for the case of two-dimensional percolation. c © 1999 Elsevier Science B.V. All rights reserved. PACS: 64.60.A

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تاریخ انتشار 2007