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.
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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 -