LOCALIZATION OF ACOUSTIC WAVES IN ONE-DIMENSIONAL MODELS WITH CHAOTIC ELASTICITY

A. E. B. Costa and F. A. B. F. de Moura ()
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A. E. B. Costa: Instituto de Física, Universidade Federal de Alagoas, 57072-970, Maceió-AL, Brazil
F. A. B. F. de Moura: Instituto de Física, Universidade Federal de Alagoas, 57072-970, Maceió-AL, Brazil

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 06, 573-580

Abstract: In this paper we study the propagation of acoustic waves in a one-dimensional system with nonstationary chaotic elasticity distribution. The elasticity distribution is assumed to have a power spectrumS(f) ~ 1/f(2B-3)/(B-1)forB ≥ 1.5. By using a transfer-matrix method we solve the discrete version of the scalar wave equation and compute the Lyapunov exponent. In addition, we apply a second-order finite-difference method for both the time and spatial variables and study the nature of the waves that propagate in the chain. Our numerical data indicate the presence of weak localized acoustic waves for high degree of correlations (B > 2).

Keywords: Acoustic waves; localization; Bernoulli map; 62.30.+d; 62.20.dq; 72.15.Rn (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016452

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