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Extended acoustic waves in diluted random systems

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  • A. E.B. Costa
  • F.A.B.F. de Moura

Abstract

In this paper we study the propagation of acoustic waves in an one-dimensional diluted random media which is composed of two interpenetrating chains with pure and random elasticity. We considered a discrete one-dimensional version of the wave equation where the elasticity distribution appears as an effective spring constant. By using a matrix recursive reformulation we compute the localization length within the band of allowed frequencies. In addition, we apply a second-order finite difference method for both time and spatial variables, and study the nature of the waves that propagate in the chain. We numerically demonstrate that the diluted random elasticity distribution promotes extended acoustic modes at high-frequencies. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Suggested Citation

  • A. E.B. Costa & F.A.B.F. de Moura, 2011. "Extended acoustic waves in diluted random systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(1), pages 59-63, March.
    • Handle: RePEc:spr:eurphb:v:80:y:2011:i:1:p:59-63
    DOI: 10.1140/epjb/e2011-20016-3
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    Cited by:

    1. Farzadian, O. & Niry, M.D., 2016. "Delocalization of mechanical waves in the ladder chain of DNA with correlated disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 95-103.
    2. Farzadian, O. & Oikonomou, T. & Good, M.R.R. & Niry, M.D., 2020. "Entropic analysis of the localization–delocalization transition in a one-dimensional correlated lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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