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Matematicheskaya Biologiya i Bioinformatika, 2022, Volume 17, Issue 2, Pages 452–464
DOI: https://doi.org/10.17537/2022.17.452
(Mi mbb499)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field

A. N. Korshounova, V. D. Lakhno

Institute of Mathematical Problems of Biology RAS – the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Moscow Region, 142290, Russia
Full-text PDF (562 kB) Citations (4)
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Abstract: In this paper we consider the incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field. The calculations performed show that Bloch oscillations arising in the course of the polaron oscillatory motion along the chain do not completely disappear when the polaron’s motion along the chain becomes uniform. When the polaron moves uniformly along the chain, Bloch oscillations are also observed, although in a slightly different form. It is shown that the shape of the electron density distribution in a polaron during its stationary motion in a constant electric field takes an explicit structure. In this case, such characteristics of Bloch oscillations as the period of Bloch oscillations and the maximum Bloch amplitude demonstrate low-density components of the polaron.
Key words: nanobioelectronics, nanowire, molecular chain, polaron, DNA, charge transfer, Holstein model.
Received 25.11.2022, 09.12.2022, Published 14.12.2022
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Mat. Biolog. Bioinform., 17:2 (2022), 452–464
Citation in format AMSBIB
\Bibitem{KorLak22}
\by A.~N.~Korshounova, V.~D.~Lakhno
\paper The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field
\jour Mat. Biolog. Bioinform.
\yr 2022
\vol 17
\issue 2
\pages 452--464
\mathnet{http://mi.mathnet.ru/mbb499}
\crossref{https://doi.org/10.17537/2022.17.452}
\elib{https://elibrary.ru/item.asp?id=50158443}
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  • https://www.mathnet.ru/eng/mbb/v17/i2/p452
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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