Modulational instability in DNA model with competing short- and long-range dispersive interactions

Journal article

Authors / Editors

Tabi, Condrad

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: Modulational instability in DNA model with competing short- and long-range dispersive interactions

Publisher: American Scientific Publishers

Publication year: 2008

Volume number: 2

Issue number: 2

Start page: 89

End page: 96

Number of pages: 8

ISSN: 1557-7910

eISSN: 1557-7929

Languages: English-United States (EN-US)

Abstract

We study the modulational instability (MI) in the Peyrard-Bishop (PB) model of DNA dynamics, with short-range interaction, due to the stacking of base pairs, and long-range interaction, due to the finite dipole moment of the bonds within each base pair. Within the framework of the linear stability analysis, a critical value of the long-range coupling constant is found and, it is shown that, below this critical value, the system displays as the Klein-Gordon chain while, above the critical value, one can appreciate the influence of the dipole-dipole interactions. The study is supported by numerical analysis which confirms analytical predictions. Energy localization via MI is also investigated.

Keywords

: DIPOLE-DIPOLE INTERACTIONS; DNA DYNAMICS; ENERGY LOCALIZATION; MI

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