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Fractal Dimension of 3-Blocks in 4d, 5d, and 6d Percolation Systems
Gerald Paul, H. Eugene Stanley
Using Monte Carlo simulations we study the distributions of the 3-block mass in 4d, 5d, and 6d percolation systems. Because the probability of creating large 3-blocks in thes…
Discrepancy between Monte-Carlo Results and Analytic Values for the Average Excluded Volume of Rectangular Prisms
Sameet Sreenivasan, Don R. Baker, Gerald Paul +1
We perform Monte Carlo simulations to determine the average excluded volume <V_{ex}> of randomly oriented rectangular prisms, randomly oriented ellipsoids and randomly oriented cap…
Water at Positive and Negative Pressures
H. E. Stanley, M. C. Barbosa, S. Mossa +4
We review recent results of molecular dynamics simulations of two models of liquid water, the extended simple point charge (SPC/E) and the Mahoney-Jorgensen transferable intermolec…
Traveling length and minimal traveling time for flow through percolation networks with long-range spatial correlations
A. D. Araujo, A. A. Moreira, H. A. Makse +2
We study the distributions of traveling length l and minimal traveling time t through two-dimensional percolation porous media characterized by long-range spatial correlations. We…
Fractal Behavior of the Shortest Path Between Two Lines in Percolation Systems
Gerald Paul, Shlomo Havlin, H. Eugene Stanley
Using Monte-Carlo simulations, we determine the scaling form for the probability distribution of the shortest path, , between two lines in a 3-dimensional percolation system…
Beyond Blobs in Percolation Cluster Structure: The Distribution of 3-Blocks at the Percolation Threshold
Gerald Paul, H. Eugene Stanley
The incipient infinite cluster appearing at the bond percolation threshold can be decomposed into singly-connected ``links'' and multiply-connected ``blobs.'' Here we decompose blo…