Anomalous wave transport in one-dimensional systems with Levy disorder

TL;DR

This paper investigates wave transport in one-dimensional Levy-disordered media using random matrix theory, revealing how Levy flights influence wave propagation statistics.

Contribution

It introduces a novel application of random matrix theory to analyze wave transport in Levy-disordered systems, highlighting the impact of Levy flights.

Findings

Wave transport exhibits anomalous statistical behavior due to Levy flights

Levy disorder significantly alters wave transmission properties

Theoretical predictions match numerical simulations

Abstract

We use random matrix theory to study the statistics of wave transport in one-dimensional random media with Levy disorder, in which waves perform Levy flights.