Distribution of backbone mass between non-parallel lines

Luciano R. Da Silva, Gerald Paul, Shlomo Havlin, Don R. Baker, H. Eugene Stanley

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We determine the backbone mass distributions for bond percolation between two lines of arbitrary orientations in three dimensions. All simulations were performed at the percolation threshold pc. The slope of the power law regime of the backbone mass distribution is dependent upon the angle between the lines, θ, but the characteristic backbone mass is only weakly affected by θ. We propose new scaling functions that reproduce the θ dependence of the characteristic backbone mass found in the simulations.

Original languageEnglish
Pages (from-to)140-145
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 2002

Bibliographical note

Funding Information:
We thank L. Braunstein and S.V. Buldyrev for helpful discussions, and British Petroleum, CPNq, and the National Science Foundation for support.


  • Backbone
  • Fractal
  • Percolation
  • Power-law


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