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Distribution of shortest paths in percolation

Author

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

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.

Suggested Citation

  • Dokholyan, Nikolay V & Buldyrev, Sergey V & Havlin, Shlomo & King, Peter R & Lee, Youngki & Stanley, H.Eugene, 1999. "Distribution of shortest paths in percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 55-61.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:55-61
    DOI: 10.1016/S0378-4371(98)00574-3
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    Cited by:

    1. Stanley, H.Eugene & Andrade, José S, 2001. "Physics of the cigarette filter: fluid flow through structures with randomly-placed obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 17-30.
    2. Stalgorova, Ekaterina & Babadagli, Tayfun, 2014. "Scaling of production data obtained from Random Walk Particle Tracking simulations in highly fractured porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 181-192.

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