title: Modulational instability of charge transport in the Peyrard-Bishop-Holstein model.
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.
authors.affiliation: Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon. The Abdus Salam International Center For Theoretical Physics, PO Box 586, Strada Costiera 11, I-34014 Trieste, Italy.
authors.forename: Conrad Bertrand
authors.initials: CB
authors.lastname: Tabi
authors.forename: Alidou
authors.initials: A
authors.lastname: Mohamadou
authors.forename: Timoléon Crépin
authors.initials: TC
authors.lastname: Kofané