Author/Authors :
Nikolay V Dokholyan، نويسنده , , Sergey V. Buldyrev، نويسنده , , Shlomo Havlin، نويسنده , , Peter R King، نويسنده , , Youngki Lee، نويسنده , , H. Eugene Stanley، نويسنده ,
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.
