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.
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
\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}
This publication is cited in the following 4 articles:
A.N. Korshunova, V.D. Lakhno, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 10, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2024
A. N. Korshunova, V. D. Lakhno, “Dinamika kholsteinovskogo polyarona v postoyannom i sovmestnom deistvii postoyannogo i peremennogo elektricheskikh polei”, Matem. biologiya i bioinform., 19:2 (2024), 472–485
A. N. Korshunova, V. D. Lakhno, “Perekhod ot ravnomernogo rezhima dvizheniya polyarona k kolebatelnomu pri izmenenii nachalnogo polyaronnogo sostoyaniya”, Preprinty IPM im. M. V. Keldysha, 2023, 053, 26 pp.
A. N. Korshunova, V. D. Lakhno, “Perekhod ot ravnomernogo rezhima dvizheniya polyarona k kolebatelnomu pri izmenenii nachalnogo polyaronnogo sostoyaniya”, Matem. biologiya i bioinform., 18:2 (2023), 446–463
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