Extended acoustic waves in a one-dimensional aperiodic system |
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Authors: | A EB Costa F ABF de Moura |
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Institution: | (1) Laboratoire de Physique Théorique, CNRS-UMR5152, Université Paul Sabatier, 31062 Toulouse, France;(2) Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany |
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Abstract: | We numerically study the propagation of acoustic waves in a one-dimensional system with an aperiodic pseudo-random elasticity
distribution. The elasticity distribution was generated
by using a sinusoidal function whose phase
varies as a power-law, f μ nn\phi \propto n^{\nu}, where n labels the positions along the
media. By considering a discrete one-dimensional
version of the wave equation and 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 the time and spatial variables and study the nature of the waves that propagate
in the chain. Our numerical data indicates the presence of extended acoustic waves with non-zero frequency for sufficient
degree of aperiodicity. |
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Keywords: | |
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