3 papers
cond-mat.stat-mech2000
Flow Between Two Sites on a Percolation Cluster
José S. Andrade, Sergey V. Buldyrev, Nikolay V. Dokholyan +5
We study the flow of fluid in porous media in dimensions and 3. The medium is modeled by bond percolation on a lattice of sites, while the flow front is modeled by trac…
cond-mat.stat-mech1999
Dependence of Conductance on Percolation Backbone Mass
Gerald Paul, Sergey V. Buldyrev, Nikolay V. Dokholyan +4
On two-dimensional percolation clusters at the percolation threshold, we study , the average conductance of the backbone, defined by two points separated by Euclidean d…
cond-mat.stat-mech1999
Scaling of the distribution of shortest paths in percolation
Nikolay V. Dokholyan, Youngki Lee, Sergey V. Buldyrev +3
We present a scaling hypothesis for the distribution function of the shortest paths connecting any two points on a percolating cluster which accounts for {\it (i)} the effect of th…