Resistance distribution in the hopping percolation model

Details Resistance distribution in the hopping percolation model Resistance distribution in the hopping percolation model

2005-06-07

arxiv.org/abs/cond-mat/0506179v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Phys Rev E (in press)

Scientific paper

10.1103/PhysRevE.72.016121

We study the distribution function, P(rho), of the effective resistance, rho, in two and three-dimensional random resistor network of linear size L in the hopping percolation model. In this model each bond has a conductivity taken from an exponential form \sigma ~ exp(-kappa r), where kappa is a measure of disorder, and r is a random number, 0< r < 1. We find that in both the usual strong disorder regime L/kappa^{nu} > 1 (not sensitive to removal of any single bond) and the extreme disorder regime L/kappa^{nu} < 1 (very sensitive to such a removal) the distribution depends only on L/kappa^{nu} and can be well approximated by a log-normal function with dispersion b kappa^nu/L, where b is a coefficient which depends on the type of the lattice

Affiliated with

Also associated with

No associations

Rating

Resistance distribution in the hopping percolation model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resistance distribution in the hopping percolation model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resistance distribution in the hopping percolation model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535076