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Matematicheskaya Biologiya i Bioinformatika, 2021, Volume 16, Issue 2, Pages 411–421
DOI: https://doi.org/10.17537/2021.16.411
(Mi mbb475)
 

Mathematical Modeling

Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements

A. N. Korshounova, V. D. Lakhno

Institute of Mathematical Problems of Biology RAS – the Branch of Keldysh Institute of Applied Mathematics RAS
References:
Abstract: Various regimes of a charge motion along a chain in a constant electric field are investigated. This motion is simulated on the basis of the Holstein model. Earlier studies demonstrate a possibility of a uniform motion of a charge in a constant electric field over very long distances. For small values of the electric field intensity a Holstein polaron can move at a constant velocity. As the electric field intensity increases, a charge motion acquires oscillatorily character, performing Bloch oscillations. Since the charge motion depends on the whole set of the system parameters the character of the motion depends not only on the value of the electric field intensity. Therefore, the electric field intensity for which the uniform motion takes place differs for chains with different parameters. The character of the charge motion and distribution is considered in chains with different values of the constant of coupling between the charge and the displacements of the chain. We showed that the values of the electric field intensity for which the regime of a charge motion changes are different in chains with different values of the coupling constant. We also demonstrated that for one and the same value of the electric field intensity, in chains with different values of the coupling constant either a uniform motion or an oscillatory motion, or a stationary polaron can be observed.
Key words: nanobioelectronics, nanowires, molecular chains, polarons, DNA, charge transfer, Holstein model.
Funding agency Grant number
Russian Foundation for Basic Research 19-07-00406
This work was supported by the RFBR grant № 19-07-00406.
Received 01.10.2021, 27.11.2021, Published 04.12.2021
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. N. Korshounova, V. D. Lakhno, “Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements”, Mat. Biolog. Bioinform., 16:2 (2021), 411–421
Citation in format AMSBIB
\Bibitem{KorLak21}
\by A.~N.~Korshounova, V.~D.~Lakhno
\paper Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements
\jour Mat. Biolog. Bioinform.
\yr 2021
\vol 16
\issue 2
\pages 411--421
\mathnet{http://mi.mathnet.ru/mbb475}
\crossref{https://doi.org/10.17537/2021.16.411}
\elib{https://elibrary.ru/item.asp?id=47918046}
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  • https://www.mathnet.ru/eng/mbb/v16/i2/p411
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