arXiv subjects

G. George Batrouni

Publications and source records attributed to G. George Batrouni.

21 records · Page 2Linked to original sources

arXiv1995

Current Distribution in the Three-Dimensional Random Resistor Network at the Percolation Threshold

We study the multifractal properties of the current distribution of the three-dimensional random resistor network at the percolation threshold. For lattices ranging in size from $8^3$ to $80^3$ we measure the second, fourth and sixth moments of the current distribution, finding {\it e.g.\/} that $t/ν=2.282(5)$ where $t$ is the conductivity exponent and $ν$ is the correlation length exponent.

cond-mat↗

arXiv1994

Dynamic and Static Properties of the Randomly Pinned Planar Flux Array

We report the results of large scale numerical studies of the dynamic and static properties of the random phase model of the randomly pinned flux lines confined in a plane. From the onset of nonlinear IV characteristics, we identify a vortex glass transition at the theoretically anticipated temperature. However, the vortex glass phase itself is much {\it less glassy} than expected. No signature of the glass transition has been detected in the static quantities measured.

cond-mat↗

arXiv1993

Tolerance and Sensitivity in the Fuse Network

We show that depending on the disorder, a small noise added to the threshold distribution of the fuse network may or may not completely change the subsequent breakdown process. When the threshold distribution has a lower cutoff at a finite value and a power law dependence towards large thresholds with an exponent which is less than $0.16\pm0.03$, the network is not sensitive to the added noise, otherwise it is. The transition between sensitivity or not appears to be second order, and is related to a localization-delocalization transition earlier observed in such systems.

cond-mat↗