Eur. Phys. J. Plus (2022) 137: 166
https://doi.org/10.1140/epjp/s13360-021-02282-2

Regular Article

Delocalized charge through the DNA with microscopic effect

¹ Department of Physics, Faculty of Science, University of Bamenda, P.O. Box 39, Bambili, Cameroon
² Laboratory of Atomic, Molecular and Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
³ African Centre of Excellence in Information and Communication Technologies, University of Yaounde I, P.O. Box 8390, Yaounde, Cameroon
⁴ Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
⁵ Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

Received: 16 May 2021
Accepted: 8 December 2021
Published online: 24 January 2022

Abstract

Charge transfer and localization via modulation instability are studied in extended DNA model. We show that the model can be reduced to a set of five coupled equations. The linear stability analysis of plane-wave solutions is studied, and the growth rate of instability is plotted numerically. We show that the growth rate of instability is highly modified by the torsional modes. We discuss the importance of parameter, the coupling parameter between charges and internal molecular vibration, which steeply influences the migration of charges in the lattice. The increase in also induces a strong localization of information in the molecule. By introducing the thermal effect, we prove that the localized structures are formed; thereafter, the spreading of information inside the molecule becomes unperceptively. The density of charges flowing around the pair of bases is very poor. We observe a gradual extinction of localized structures when we increase the thermal effect. We show that the transfer and the storage of information in biosystems become more explainable by the quantum treatment.