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

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Article number123350
JournalPhysica A: Statistical Mechanics and its Applications
Volume545
DOIs
Publication statusPublished - May 1 2020

Keywords

  • Correlated sequence
  • Disorder systems
  • Entropy
  • Localization–delocalization transition
  • Random matrix theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability

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