Abstract:
In this paper, the motion of a polaron in a polynucleotide chain in an external electric field is considered. 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 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.
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, Suppl. (2022), t42–t52
\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
\pages t42--t52
\issueinfo Suppl.
\mathnet{http://mi.mathnet.ru/mbb504}
\crossref{https://doi.org/10.17537/2022.17.t42}
This publication is cited in the following 3 articles:
A.N. Korshunova, V.D. Lakhno, “Bloch internal dynamics of a polaron uniformly moving in a constant electric field along molecular chains of various lengths”, Chaos, Solitons & Fractals, 191 (2025), 115930
A.N. Korshunova, V.D. Lakhno, “Internal dynamics of a polaron uniformly moving along a molecular chain in a constant electric field”, Chaos, Solitons & Fractals, 182 (2024), 114786
N.S. Fialko, “Modeling Of Charge Dynamics in Synthetic DNA under the Influence of an External Electric Field”, Math.Biol.Bioinf., 19:2 (2024), 439