S. E. Skipetrov, Y. M. Beltukov
Published 2018-03-27, updated 2018-07-23Version 2
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.
Comments: Considerably extended version. 10 pages, 5 figures
Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons
Density of States near the Anderson Transition in a Space of Dimensionality d=4-epsilon
Topological effect on the Anderson transition in chiral symmetry classes
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