title: 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 nondecaying 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 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.
authors.affiliation: Department of Physics, Isfahan University of Technology, Isfahan 84156, Iran.
authors.forename: F
authors.initials: F
authors.lastname: Shahbazi
authors.forename: Alireza
authors.initials: A
authors.lastname: Bahraminasab
authors.forename: S Mehdi Vaez
authors.initials: SM
authors.lastname: Allaei
authors.forename: Muhammad
authors.initials: M
authors.lastname: Sahimi
authors.forename: M Reza Rahimi
authors.initials: MR
authors.lastname: Tabar