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Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
Shahbazi, F ; Sharif University of Technology | 2005
176
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- Type of Document: Article
- DOI: 10.1103/PhysRevLett.94.165505
- Publisher: 2005
- 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. © 2005 The American Physical Society
- Keywords:
- Correlation functions ; Martin-Siggia-Rose methods ; Renormalization group (RG) ; Transfer-matrix ; Acoustic wave propagation ; Computer simulation ; Correlation theory ; Elastic moduli ; Finite difference method ; Functions ; Matrix algebra ; White noise ; Elastic waves
- Source: Physical Review Letters ; Volume 94, Issue 16 , 2005 ; 00319007 (ISSN)
- URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.94.165505