Modulational instability of charge transport in the Peyrard-bishop-holstein model
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Subtitle: Modulational instability of charge transport in the Peyrard-bishop-holstein model
Publisher: IOP Publishing: Hybrid Open Access
Publication year: 2009
Volume number: 21
Issue number: 33
Start page: 1
End page: 8
Number of pages: 8
ISSN: 0953-8984
URL: https://www.ncbi.nlm.nih.gov/pubmed/21828595
Abstract
We report on modulational instability (MI) on a DNA charge transfer model known as the Peyrard-Bishop-Holstein (PBH) model. In the continuum approximation, the system reduces to a modified Klein-Gordon-Schrödinger (mKGS) system through which linear stability analysis is performed. This model shows some possibilities for the MI region and the study is carried out for some values of the nearest-neighbor transfer integral. Numerical simulations are then performed, which confirm analytical predictions and give rise to localized structure formation. We show how the spreading of charge deeply depends on the value of the charge-lattice-vibrational coupling.
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