Statistics of red sites on elastic and full backbone

@article{Sen1997StatisticsOR,
title={Statistics of red sites on elastic and full backbone},
author={Parongama Sen},
journal={Physica A-statistical Mechanics and Its Applications},
year={1997},
volume={238},
pages={39-48}
}

This method yields the backbone and the elastic backbone, their number of loops, shortest path and other quantities, and accurate estimates for the backbone exponents in two and three dimensions are obtained.Expand

A new Monte Carlo method for studying bond percolation clusters is developed and used to identify new critical quantities associated with the percolation threshold. The bonds in each cluster are… Expand

We study the probability of getting more than one spanning cluster at pc for site percolation in dimensions of two to five. The probability increases from ~0.003 in two dimensions to ~0.16 in five.… Expand

Derives exact relations that allow one to describe unambiguously and quantitatively the structure of clusters near the percolation threshold pc. In particular, the author proves the relations… Expand

An effective dimensionality dp is introduced for the purpose of providing a quantitative characterisation of the degree of ramification of the clusters that occur at the percolation threshold. It is… Expand

2014 We compare the macroscopic conductance 03A3 of a resistor network with a fraction p of conducting links, and the elastic modulus E of a gel obtained by polymerization of z-functional units (p… Expand

Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in… Expand

A general theory is given for the quenched dilute $s$-state Potts and $n$-vector models in any dimension $d$. It is shown that for $T\ensuremath{\rightarrow}0$ at the percolation threshold the Potts… Expand