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

Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Article number335101
JournalJournal of Physics Condensed Matter
Volume21
Issue number33
DOIs
Publication statusPublished - Sep 21 2009

Fingerprint

Charge transfer
Linear stability analysis
DNA
deoxyribonucleic acid
charge transfer
continuums
Computer simulation
predictions
approximation
simulation

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

@article{ad848777f1354fdc88f0dd47e2a1a7ac,
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-Schr{\"o}dinger (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.",
author = "Tabi, {Conrad Bertrand} and Alidou Mohamadou and Kofan{\'e}, {Timol{\'e}on Cr{\'e}pin}",
year = "2009",
month = "9",
day = "21",
doi = "10.1088/0953-8984/21/33/335101",
language = "English",
volume = "21",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "33",

}

Modulational instability of charge transport in the Peyrard-bishop-holstein model. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoléon Crépin.

In: Journal of Physics Condensed Matter, Vol. 21, No. 33, 335101, 21.09.2009.

Research output: Contribution to journalArticle

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 - 2009/9/21

Y1 - 2009/9/21

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.

UR - http://www.scopus.com/inward/record.url?scp=70349110101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349110101&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/21/33/335101

DO - 10.1088/0953-8984/21/33/335101

M3 - Article

C2 - 21828595

AN - SCOPUS:70349110101

VL - 21

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 33

M1 - 335101

ER -