title: Resistance distribution in the hopping percolation model.
abstract: We study the distribution function P (rho) of the effective resistance rho in two- and three-dimensional random resistor networks of linear size L in the hopping percolation model. In this model each bond has a conductivity taken from an exponential form sigma proportional to exp (-kappar) , where kappa is a measure of disorder and r is a random number, 0< or = r < or =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 lattice, and nu is the correlation critical exponent.
authors.affiliation: Minerva Center, Jack and Pearl Resnick Institute of Advanced Technology, and Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel.
authors.forename: Yakov M
authors.initials: YM
authors.lastname: Strelniker
authors.forename: Shlomo
authors.initials: S
authors.lastname: Havlin
authors.forename: Richard
authors.initials: R
authors.lastname: Berkovits
authors.forename: Aviad
authors.initials: A
authors.lastname: Frydman