Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
Abstract
Using the Martin-Siggia-Rose method, we study propagation of acoustic waves in strongly heterogeneous media which are characterized by a broad distribution of the elastic constants. Gaussian-white distributed elastic constants, as well as those with long-range correlations with non-decaying power-law correlation functions, are considered. The study is motivated in part by a recent discovery that the elastic moduli of rock at large length scales may be characterized by long-range power-law correlation functions. Depending on the disorder, the renormalization group (RG) flows exhibit a transition to localized regime in {\it any} dimension. We have numerically checked the RG results using the transfer-matrix method and direct numerical simulations for one- and two-dimensional systems, respectively.
Keywords
Cite
@article{arxiv.cond-mat/0504630,
title = {Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations},
author = {F. Shahbazi and Alireza Bahraminasab and S. Mehdi Vaez Allaei and Muhammad Sahimi and M. Reza Rahimi Tabar},
journal= {arXiv preprint arXiv:cond-mat/0504630},
year = {2009}
}
Comments
5 pages, 4 figures, to appear in Phys. Rev. Lett