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Role of short-range correlation in facilitation of wave propagation in a long-range ladder chain

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  • Farzadian, O.
  • Niry, M.D.

Abstract

We extend a new method for generating a random chain, which has a kind of short-range correlation induced by a repeated sequence while retaining long-range correlation. Three distinct methods are considered to study the localization–delocalization transition of mechanical waves in one-dimensional disordered media with simultaneous existence of short and long-range correlation. First, a transfer-matrix method was used to calculate numerically the localization length of a wave in a binary chain. We found that the existence of short-range correlation in a long-range correlated chain can increase the localization length at the resonance frequency Ωc. Then, we carried out an analytical study of the delocalization properties of the waves in correlated disordered media around Ωc. Finally, we apply a dynamical method based on the direct numerical simulation of the wave equation to study the propagation of waves in the correlated chain. Imposing short-range correlation on the long-range background will lead the propagation to super-diffusive transport. The results obtained with all three methods are in agreement with each other.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:49-60
    DOI: 10.1016/j.physa.2018.02.206
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    References listed on IDEAS

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    1. 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.
    2. 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. & 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).

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