Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice

摘要

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 alpha is an element of (1, 2), we detect the critical value of alpha(c), which separates the localization from the delocalization bands. (C) 2019 Elsevier B.V. All rights reserved.