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

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 (US)
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 - Apr 15 1999
Event	Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: Jul 14 1998 → Jul 17 1998

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/S0378-4371(98)00574-3

Cite this

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title = "Distribution of shortest paths in percolation",

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.",

author = "Dokholyan, \{Nikolay V.\} and Buldyrev, \{Sergey V.\} and Shlomo Havlin and King, \{Peter R.\} and Youngki Lee and Stanley, \{H. Eugene\}",

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. ; Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications ; Conference date: 14-07-1998 Through 17-07-1998",

year = "1999",

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doi = "10.1016/S0378-4371(98)00574-3",

language = "English (US)",

volume = "266",

pages = "55--61",

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}

TY - JOUR

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.

UR - https://www.scopus.com/pages/publications/0345149483

UR - https://www.scopus.com/pages/publications/0345149483#tab=citedBy

U2 - 10.1016/S0378-4371(98)00574-3

DO - 10.1016/S0378-4371(98)00574-3

M3 - Conference article

AN - SCOPUS:0345149483

SN - 0378-4371

VL - 266

SP - 55

EP - 61

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

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

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