Levy distributions of the currents intensities in metal dielectric systems

TL;DR

This paper investigates the use of Levy distributions to model current intensities in metal-dielectric systems, providing insights into metal-insulator transitions through computational analysis of resistor networks.

Contribution

It introduces a novel application of Levy distributions to analyze current distributions in composite systems during metal-insulator transitions.

Findings

Current distributions follow Levy's law across different system widths.

The method effectively characterizes the transition behavior in resistor networks.

Levy distributions provide a better understanding of conduction phenomena in composite materials.

Abstract

Levy distributions are involved in many physical phenomenon. The purpose of our study is to understand metal insulator transitions in composite systems using the above distributions. The exact method (EM) based on the calculation of Kirchhoff s equations solutions is used to compute currents intensities in each network division. Currents intensities distributions are studies for different widths of the system. We interpret these distributions in terms of Levy s law. Keywords: Levy distribution, percolation, composite materials, resistors network.