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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">22072</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Mathematical Modeling and Computational Physics</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математическое моделирование и вычислительная физика</subject></subj-group><subj-group subj-group-type="article-type"><subject></subject></subj-group></article-categories><title-group><article-title xml:lang="en">Charge diffusion in homogeneous molecular chains based on the analysis of  generalized frequency spectra in the framework of the Holstein model</article-title><trans-title-group xml:lang="ru"><trans-title>О диффузии заряда в однородных молекулярных цепочках на основе анализа обобщенных частотных спектров в рамках модели Холстейна}</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tikhonov</surname><given-names>Dmitry</given-names></name><name xml:lang="ru"><surname>Тихонов</surname><given-names>Дмитрий Анатольевич</given-names></name></name-alternatives><email>dmitry.tikhonov@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sobolev</surname><given-names>Egor</given-names></name><name xml:lang="ru"><surname>Соболев</surname><given-names>Егор Васильевич</given-names></name></name-alternatives><email>egor.sobolev@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lakhno</surname><given-names>Viktor</given-names></name><name xml:lang="ru"><surname>Лахно</surname><given-names>Виктор Дмитриевич</given-names></name></name-alternatives><email>lak@impb.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff id="aff1"><institution></institution></aff><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>27</volume><issue>3</issue><issue-title xml:lang="en">VOL 27, NO3 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 27, №3 (2019)</issue-title><history><date date-type="received" iso-8601-date="2019-11-12"><day>12</day><month>11</month><year>2019</year></date><date date-type="accepted" iso-8601-date="2019-12-11"><day>11</day><month>12</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2021, Tikhonov D., Sobolev E., Lakhno V.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2021, Тихонов Д.А., Соболев Е.В., Лахно В.Д.</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="en">Tikhonov D., Sobolev E., Lakhno V.</copyright-holder><copyright-holder xml:lang="ru">Тихонов Д.А., Соболев Е.В., Лахно В.Д.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/22072">https://journals.rudn.ru/miph/article/view/22072</self-uri><abstract xml:lang="en"><p><span style="background-color: #ffffff;">We analyze velocity autocorrelation functions and generalized frequency spectra of  charge distribution in homogeneous DNA sequences at finite temperature. The functions are calculated numerically in the framework of the semi-classical Holstein model. We show that for all the sequences, only one parameter of the system is mainly responsible for the charge kinetics. Character of individual motions contributing into the charge mobility is determined. Temperature-dependent regimes of charge distribution are identified.</span></p></abstract><trans-abstract xml:lang="ru"><p><span style="background-color: #ffffff;">В статье приведен анализ автокорреляционных функций скорости и обобщенных частотных спектров распространения заряда в однородных последовательностях ДНК при конечной температуре. Функции рассчитаны численно в рамках квазиклассической модели Холстейна. Показано, что в системе только один параметр главным образом определяет кинетику заряда для всех последовательностей. Анализ позволил определить характер отдельных движений вносящих вклад в подвижность заряда и выделить различные режимы распространения заряда в зависимости от температуры.</span></p></trans-abstract><funding-group/></article-meta></front><body></body><back><ref-list/></back></article>
