TY - JOUR
T1 - Modulational instability of charge transport in the Peyrard-bishop-holstein model
AU - Tabi, Conrad Bertrand
AU - Mohamadou, Alidou
AU - Kofané, Timoléon Crépin
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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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U2 - 10.1088/0953-8984/21/33/335101
DO - 10.1088/0953-8984/21/33/335101
M3 - Article
C2 - 21828595
AN - SCOPUS:70349110101
SN - 0953-8984
VL - 21
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
IS - 33
M1 - 335101
ER -