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

Author

Listed:
  • Farzadian, O.
  • Oikonomou, T.
  • Good, M.R.R.
  • Niry, M.D.

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.

Suggested Citation

  • Farzadian, O. & Oikonomou, T. & Good, M.R.R. & Niry, M.D., 2020. "Entropic analysis of the localization–delocalization transition in a one-dimensional correlated lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318746
    DOI: 10.1016/j.physa.2019.123350
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    References listed on IDEAS

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    1. A. Croy & P. Cain & M. Schreiber, 2011. "Anderson localization in 1D systems with correlated disorder," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 82(2), pages 107-112, July.
    2. Farzadian, O. & Niry, M.D., 2018. "Role of short-range correlation in facilitation of wave propagation in a long-range ladder chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 49-60.
    3. A. E.B. Costa & F.A.B.F. de Moura, 2011. "Extended acoustic waves in diluted random systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(1), pages 59-63, March.
    4. Farzadian, O. & Niry, M.D., 2016. "Delocalization of mechanical waves in the ladder chain of DNA with correlated disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 95-103.
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    1. Farzadian, O. & Niry, M.D., 2016. "Delocalization of mechanical waves in the ladder chain of DNA with correlated disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 95-103.
    2. Farzadian, O. & Niry, M.D., 2018. "Role of short-range correlation in facilitation of wave propagation in a long-range ladder chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 49-60.

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