Distribution of shortest paths in percolation

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

Research output: Contribution to journalConference articlepeer-review

17 Scopus citations

Abstract

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 effect of the finite 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.

Original languageEnglish (US)
Pages (from-to)55-61
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume266
Issue number1-4
DOIs
StatePublished - Apr 15 1999
EventProceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger
Duration: Jul 14 1998Jul 17 1998

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Distribution of shortest paths in percolation'. Together they form a unique fingerprint.

Cite this