Anderson transition for elastic waves in three dimensions
Disordered Systems and Neural Networks
2018-08-24 v3
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.
Cite
@article{arxiv.1803.10134,
title = {Anderson transition for elastic waves in three dimensions},
author = {S. E. Skipetrov and Y. M. Beltukov},
journal= {arXiv preprint arXiv:1803.10134},
year = {2018}
}
Comments
A misprint in Eq. (21) was corrected. No other changes