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Delocalization of mechanical waves in the ladder chain of DNA with correlated disorder

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  • Farzadian, O.
  • Niry, M.D.

Abstract

Localization–delocalization transition of mechanical vibrations in a ladder chain with correlated disorder is studied analytically and numerically. An exact analytical analysis is carried out for the delocalization properties of the waves in the ladder chain. This analysis predicts resonance frequencies at which the waves can propagate in the entire chain like DNA. Our analytical results in prediction of extended modes are confirmed by numerical simulations using the transfer matrix method. Finally we consider the entropy of disorder as a control parameter for localization–delocalization transition in chain with correlated disorder.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:95-103
    DOI: 10.1016/j.physa.2015.12.132
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    References listed on IDEAS

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    1. Boian S Alexandrov & Vladimir Gelev & Sang Wook Yoo & Alan R Bishop & Kim Ø Rasmussen & Anny Usheva, 2009. "Toward a Detailed Description of the Thermally Induced Dynamics of the Core Promoter," PLOS Computational Biology, Public Library of Science, vol. 5(3), pages 1-10, March.
    2. 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.
    3. Carbone, Anna & Stanley, H. Eugene, 2007. "Scaling properties and entropy of long-range correlated time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(1), pages 21-24.
    4. Stanley, H.E & Buldyrev, S.V & Goldberger, A.L & Havlin, S & Peng, C.-K & Simons, M, 1999. "Scaling features of noncoding DNA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(1), pages 1-18.
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    1. 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).
    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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