Abstract In this work, we apply entropic analysis to investigate and quantify the localization–delocalization transition of acoustic waves propagating in a one-dimensional binary chain. The wave propagation depends on the… Click to show full abstract
Abstract In this work, we apply entropic analysis to investigate and quantify the localization–delocalization transition of acoustic waves propagating in a one-dimensional binary chain. The wave propagation depends on the elasticity distribution in the chain. For distributions exhibiting long-range correlations, corresponding to scaling exponent values α ∈ ( 1 , 2 ) , we detect the critical value of α c , which separates the localization from the delocalization bands.
               
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