# 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.

## Key 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.