Distribution of shortest paths in percolation

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

doi:10.1016/S0378-4371(98)00574-3

Distribution of shortest paths in percolation

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

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Conference article › peer-review

18 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 language	English
Pages (from-to)	55-61
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	266
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(98)00574-3
State	Published - 15 Apr 1999
Event	Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: 14 Jul 1998 → 17 Jul 1998

Bibliographical note

Funding Information:
We would like to thank Prof. A. Bunde and Prof. D. Stauffer for fruitful discussions. This work is supported by British Petroleum Amoco Exploration Operating Co. Ltd.

Funding

We would like to thank Prof. A. Bunde and Prof. D. Stauffer for fruitful discussions. This work is supported by British Petroleum Amoco Exploration Operating Co. Ltd.

Funders
British Petroleum Amoco Exploration Operating Co. Ltd.

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10.1016/S0378-4371(98)00574-3

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T1 - Distribution of shortest paths in percolation

AU - Dokholyan, Nikolay V.

AU - Buldyrev, Sergey V.

AU - Havlin, Shlomo

AU - King, Peter R.

AU - Lee, Youngki

AU - Stanley, H. Eugene

N1 - Funding Information: We would like to thank Prof. A. Bunde and Prof. D. Stauffer for fruitful discussions. This work is supported by British Petroleum Amoco Exploration Operating Co. Ltd.

PY - 1999/4/15

Y1 - 1999/4/15

N2 - 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.

AB - 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.

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T2 - Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications

Y2 - 14 July 1998 through 17 July 1998

ER -

Distribution of shortest paths in percolation

Abstract

Bibliographical note

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