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

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

doi:10.1016/j.physa.2019.123350

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

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

Institute for Advanced Studies in Basic Sciences, Zanjan

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

5 Downloads (Pure)

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.

Original language	English
Article number	123350
Journal	Physica A: Statistical Mechanics and its Applications
Volume	545
DOIs	https://doi.org/10.1016/j.physa.2019.123350
Publication status	Published - 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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KW - Correlated sequence

KW - Disorder systems

KW - Entropy

KW - Localization–delocalization transition

KW - Random matrix theory

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

Abstract

Keywords

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