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Volume 17   Issue 2   Year 2022
The Incipient Formation of the Internal Dynamics of a Uniformly Moving Polaron in a Polynucleotide Chain Subjected To a Constant Electric Field

Korshunova A.N., Lakhno V.D.

Institute of Mathematical Problems of Biology RAS - the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences,  Pushchino, Moscow Region, Russia 

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.

Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2022.17.452
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)
References Translation into English
Math. Biol. Bioinf.
2022, 17(Suppl):t42-t52
doi: 10.17537/2022.17.t42

Full text (eng., pdf)


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