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

O. Farzadian and M.D. Niry

Physica A: Statistical Mechanics and its Applications, 2016, vol. 450, issue C, 95-103

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.

Keywords: Localization; Disordered systems; Random matrix theory; DNA (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:450:y:2016:i:c:p:95-103

DOI: 10.1016/j.physa.2015.12.132

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