Anderson transition for elastic waves in three dimensions

TL;DR

This paper demonstrates the Anderson localization transition for elastic waves in 3D disordered solids using microscopic models, revealing its universality class and comparing it to light scattering in similar media.

Contribution

It introduces two vectorial microscopic models for elastic waves and identifies the transition as belonging to the 3D orthogonal universality class.

Findings

Transition belongs to the 3D orthogonal universality class

Critical parameters are determined via finite-time and finite-size scaling

Similarities and differences with light scattering are discussed

Abstract

We use two different fully vectorial microscopic models featuring nonresonant and resonant scattering, respectively, to demonstrate the Anderson localization transition for elastic waves in three-dimensional (3D) disordered solids. Critical parameters of the transition determined by finite-time and finite-size scaling analyses suggest that the transition belongs to the 3D orthogonal universality class. Similarities and differences between the elastic-wave and light scattering in strongly disordered media are discussed.