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

O. Farzadian; M. D. Niry

doi:10.1016/j.physa.2015.12.132

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

O. Farzadian, M. D. Niry

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

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	95-103
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	450
DOIs	https://doi.org/10.1016/j.physa.2015.12.132
Publication status	Published - May 15 2016
Externally published	Yes

Keywords

Disordered systems
DNA
Localization
Random matrix theory

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2015.12.132

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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.",

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AU - Farzadian, O.

AU - Niry, M. D.

PY - 2016/5/15

Y1 - 2016/5/15

N2 - 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.

AB - 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.

KW - Disordered systems

KW - DNA

KW - Localization

KW - Random matrix theory

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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