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

O. Farzadian, T. Oikonomou, M.R.R. Good and M.D. Niry

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

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 αc, which separates the localization from the delocalization bands.

Keywords: Entropy; Localization–delocalization transition; Correlated sequence; Disorder systems; Random matrix theory (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318746

DOI: 10.1016/j.physa.2019.123350

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