### Abstract

We present a scaling hypothesis 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 test the hypothesis for the case of two-dimensional percolation.

Original language | English (US) |
---|---|

Pages (from-to) | 603-613 |

Number of pages | 11 |

Journal | Journal of Statistical Physics |

Volume | 93 |

Issue number | 3-4 |

State | Published - Nov 1 1998 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Statistical Physics*,

*93*(3-4), 603-613.

}

*Journal of Statistical Physics*, vol. 93, no. 3-4, pp. 603-613.

**Scaling of the distribution of shortest paths in percolation.** / Dokholyan, Nikolay; Lee, Youngki; Buldyrev, Sergey V.; Havlin, Shlomo; King, Peter R.; Stanley, H. Eugene.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Scaling of the distribution of shortest paths in percolation

AU - Dokholyan, Nikolay

AU - Lee, Youngki

AU - Buldyrev, Sergey V.

AU - Havlin, Shlomo

AU - King, Peter R.

AU - Stanley, H. Eugene

PY - 1998/11/1

Y1 - 1998/11/1

N2 - We present a scaling hypothesis 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 test the hypothesis for the case of two-dimensional percolation.

AB - We present a scaling hypothesis 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 test the hypothesis for the case of two-dimensional percolation.

UR - http://www.scopus.com/inward/record.url?scp=0039992073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039992073&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0039992073

VL - 93

SP - 603

EP - 613

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -