najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2021-12-1-32-41najo-380Research ArticlePHYSICSФИЗИКАOn the long-distance charge transport in DNA-like macromoleculesО переносе заряда на большие расстояния в ДНК-подобных макромолекулахChevizovichD.ChevizovichD.

P.O. BOX 522, Belgrade, 11001

P.O. BOX 522, Belgrade, 11001

cevizd@vinca.rsChizhovA. V.ChizhovA. V.

Joliot-Curie, 6, Dubna, 141980; Universitetskaya, 19, Dubna, 141980

Joliot-Curie, 6, Dubna, 141980; Universitetskaya, 19, Dubna, 141980

IvićZ.IvićZ.

P.O. BOX 522, Belgrade, 11001

P.O. BOX 522, Belgrade, 11001

ReshetnyakA. A.ReshetnyakA. A.

Academichesky ave., 2/4, Tomsk, 634021

Academichesky ave., 2/4, Tomsk, 634021

University of Belgrade, Vinča Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter PhysicsUniversity of Belgrade, Vinča Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter PhysicsLaboratory of Radiation Biology, Joint Institute for Nuclear Research; Dubna State UniversityLaboratory of Radiation Biology, Joint Institute for Nuclear Research; Dubna State UniversityInstitute of Strength Physics and Materials Science SB RASInstitute of Strength Physics and Materials Science SB RAS2021280720251213241Copyright © Chevizovich D., Chizhov A.V., Ivić Z., Reshetnyak A.A., 20252025Chevizovich D., Chizhov A.V., Ivić Z., Reshetnyak A.A.Chevizovich D., Chizhov A.V., Ivić Z., Reshetnyak A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/380

In this paper, we investigate the possibility of stable migration of charge carriers over long distances in DNA-like macromolecular structures in the form of an adiabatic soliton and derive the conditions for the formation of solitons. We find two types of soliton solutions: symmetric and antisymmetric. Comparing the energy of both types of soliton solutions with the energy of free extra charge, we find the region of the system parameters in which the soliton states are more energetically favorable than the states of quasi-free charges. At the same time, which of the two mentioned soliton solutions corresponds to an energetically favorable state depends on the ratio of the energy parameters of the molecular structure.

В данной работе исследуется возможность стабильной миграции носителей заряда на большие расстояния в ДНК-подобных макромолекулярных структурах в виде адиабатического солитона и выводятся условия образования солитонов. Найдены два типа солитонных решений: симметричные и антисимметричные. Сравнивая энергию обоих типов солитонных решений с энергией свободного дополнительного заряда, находим область параметров системы, в которой солитонные состояния более энергетически выгодны, чем состояния квазисвободных зарядов. При этом то, какое из двух указанных солитонных решений соответствует энергетически выгодному состоянию, зависит от соотношения энергетических параметров молекулярной структуры.

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The authors declare that there are no conflicts of interest present.