Modulational instability of charge transport in the Peyrard-bishop-holstein model

Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané

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16 Citations (Scopus)


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.

Original languageEnglish
Article number335101
JournalJournal of Physics Condensed Matter
Issue number33
Publication statusPublished - Sept 21 2009

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics


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