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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vestvfu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Северо-Восточного федерального университета имени М. К. Аммосова</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik of North-Eastern Federal University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2222-5404</issn><issn pub-type="epub">2587-5620</issn><publisher><publisher-name>Северо-Восточный федеральный университет имени М.К. Аммосова</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25587/2222-5404-2024-21-4-73-80</article-id><article-id custom-type="elpub" pub-id-type="custom">vestvfu-537</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>Динамика 2-краудиона и перенос энергии в вольфраме: атомистическое моделирование</article-title><trans-title-group xml:lang="en"><trans-title>Dynamics of 2-crowdion and energy transfer in tungsten: atomistic modeling</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шарапова</surname><given-names>Ю. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Sharapova</surname><given-names>Yu. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шарапова Юлия Равильевна – инженер-исследователь молодежной НИЛ «Металлы и сплавы при экстремальных воздействиях»</p><p>г. Уфа</p></bio><bio xml:lang="en"><p>Yulia R. Sharapova – Researcher engineer, Youth Scientific Research Laboratory of Metals andAlloys under Extreme Impacts</p><p>Ufa</p></bio><email xlink:type="simple">ulya_usinsk@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Казаков</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kazakov</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Казаков Арсений Максимович – инженер-исследователь молодежной НИЛ «Металлы и сплавы при экстремальных воздействиях»</p><p>г. Уфа</p></bio><bio xml:lang="en"><p>Arseny M. Kazakov — Researcher engineer, Youth Scientific Research Laboratory of Metals and Alloys under Extreme Impacts</p><p>Ufa</p></bio><email xlink:type="simple">arseny.m.kazakov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Семёнова</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Semyonova</surname><given-names>M. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Семёнова Мария Николаевна – к. ф.-м. н., доцент кафедры ФиПМ</p><p>г. Мирный</p></bio><bio xml:lang="en"><p>Mariya N. Semyonova — Cand. Sci. (Phys. and Math.), Assoc. Prof., Department of Fundamental and Applied Mathematics</p><p>Mirny</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рахматуллина</surname><given-names>Ж. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Rahmatullina</surname><given-names>Zh. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рахматуллина Жанна Геннадьевна – к. ф.-м. н., м. н. с. молодежной НИЛ «Металлы и сплавы при экстремальных воздействиях»</p><p>г. Уфа</p></bio><bio xml:lang="en"><p>Zhanna G. Rahmatullina – Сand. Sci. (Phys. and Math.), Junior Researcher, Youth Scientific Research Laboratory of Metals and Alloys under Extreme Impacts</p><p>Ufa</p></bio><email xlink:type="simple">ishmitovazhanna@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тимербаев</surname><given-names>Д. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Timerbaev</surname><given-names>D. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тимербаев Дмитрий Рамилевич – ведущий инженер Института компьютерных исследований</p><p>г. Уфа</p></bio><bio xml:lang="en"><p>Dmitry R. Timerbaev – Lead. Engineer at the Institute of Computer Research</p><p>Ufa</p></bio><email xlink:type="simple">mity99@ya.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Корзникова</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Korznikova</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Корзникова Елена Александровна – д. ф.-м. н., профессор, зав. молодежной НИЛ «Металлы и сплавы при экстремальных воздействиях»; проф. каф. электротехники и автоматизации промышленного производства</p><p>г. Уфа</p><p>г. Мирный</p></bio><bio xml:lang="en"><p>Elena A. Korznikova – Dr. Sci. (Phys. and Math.), Prof., Head of the Youth Scientific Research Laboratory of Metals and Alloys under Extreme Impacts; Prof. of the Department of Electrification and Automation of Industrial Production</p><p>Ufa</p><p>Mirny</p></bio><email xlink:type="simple">elena.a.korznikova@gmail.com</email><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Уфимский университет науки и технологий</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ufa University of Science and Technology</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Политехнический институт (филиал) СВФУ</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Polytechnic Institute (branch) of M.K. Ammosov NEFU</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Уфимский университет науки и технологий; Институт проблем сверхпластичности металлов РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ufa University of Science and Technology; Institute for Metals Superplasticity Problems of RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Уфимский университет науки и технологий; Политехнический институт (филиал) СВФУ; Институт проблем сверхпластичности металлов РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ufa University of Science and Technology; Polytechnic Institute (branch) of M.K. Ammosov NEFU; Institute for Metals Superplasticity Problems of RAS</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>07</day><month>01</month><year>2025</year></pub-date><volume>21</volume><issue>4</issue><fpage>73</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шарапова Ю.Р., Казаков А.М., Семёнова М.Н., Рахматуллина Ж.Г., Тимербаев Д.Р., Корзникова Е.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Шарапова Ю.Р., Казаков А.М., Семёнова М.Н., Рахматуллина Ж.Г., Тимербаев Д.Р., Корзникова Е.А.</copyright-holder><copyright-holder xml:lang="en">Sharapova Y.R., Kazakov A.M., Semyonova M.N., Rahmatullina Z.G., Timerbaev D.R., Korznikova E.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestvfu.elpub.ru/jour/article/view/537">https://vestvfu.elpub.ru/jour/article/view/537</self-uri><abstract><p>Миграция точечных дефектов в металлах способствует переносу массы и энергии при пластической деформации, термообработке, облучении и т. д. В связи с этим изучение таких физических процессов нелинейной динамики кристаллической решетки металлов является актуальной задачей. В данной работе исследуется динамика 2-краудиона и процессы переноса энергии в вольфраме, направленные на понимание механизмов формирования дефектов и диссипации энергии в условиях экстремальных температур и давления. Известно, что кристаллические решетки под внешним воздействием накапливают большое количество дефектов, таких как вакансии, дислокации, границы зерен. Все эти дефекты создают поля внутренних напряжений, которые будут влиять на динамику краудионов. С использованием метода молекулярно-динамического моделирования и модели погруженного атома было изучено распространение 2-краудионов в трехмерной структуре. Основные результаты показывают, что формирование 2-краудионов происходит при критических значениях энергии возбуждения и зависит от начальной конфигурации системы, где 2-краудионы инициируют цепные процессы переноса энергии по атомной решетке. Выявлено, что глубина прохождения 2-краудиона линейно зависит от величины начальной энергии. Полученные пространственно-временные характеристики распределения энергии демонстрируют роль 2-краудионов в локальной концентрации энергии и последующей ее передаче через атомные связи, что приводит к образованию точечных дефектов. Эти результаты важны для проектирования новых радиационно-стойких материалов, поскольку помогают предсказать устойчивость материала к высокоэнергетическим воздействиям. Работа вносит вклад в понимание физических основ диссипации энергии и поведения дефектов в тугоплавких материалах, применимых в условиях термоядерного синтеза и других высокотемпературных процессов</p></abstract><trans-abstract xml:lang="en"><p>The migration of point defects in metals contributes to the transfer of mass and energy during plastic deformation, heat treatment, irradiation, etc. In this regard, the study of such physical processes of nonlinear dynamics of the crystal lattice of metals is an urgent task. In this paper, the dynamics of 2-crowdion and the processes of energy transfer in tungsten are studied, aimed at understanding the mechanisms of defect formation and energy dissipation under extreme temperatures and pressures. It is known that crystal lattices accumulate a large number of defects under external influence, such as vacancies, dislocations, and grain boundaries. All these defects create internal stress fields that will affect the dynamics of crowdions. Using the methods of molecular dynamic modeling and embedded atom model, the propagation of 2-crowdions in a three-dimensional structure was studied. The main results show that the formation of 2-crowdions occurs at critical values of the excitation energy and depends on the initial configuration of the system, where 2-crowdions initiate chain processes of energy transfer through the atomic lattice. It is revealed that the depth of passage of the 2-crowdion linearly depends on the magnitude of the initial energy. The obtained spatiotemporal characteristics of the energy distribution demonstrate the role of 2-crowdions in the local concentration of energy and its subsequent transfer through atomic bonds, which leads to the formation of point defects. These results are important for the design of new radiation-resistant materials, as they help predict the material’s resistance to high-energy influences. The work contributes to the understanding of the physical foundations of energy dissipation and the behavior of defects in refractory materials used in thermonuclear fusion and other high-temperature processes</p></trans-abstract><kwd-group xml:lang="ru"><kwd>вольфрам</kwd><kwd>дефекты кристаллической решетки</kwd><kwd>вакансия</kwd><kwd>дислокация</kwd><kwd>краудионы</kwd><kwd>перенос энергии</kwd><kwd>нелинейная динамика</kwd><kwd>потенциал взаимодействия</kwd><kwd>метод молекулярной динамики</kwd><kwd>моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>tungsten</kwd><kwd>crystal lattice defects</kwd><kwd>vacancy</kwd><kwd>dislocation</kwd><kwd>crowdions</kwd><kwd>energy transfer</kwd><kwd>nonlinear dynamics</kwd><kwd>interaction potential</kwd><kwd>molecular dynamics method</kwd><kwd>modeling</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке Министерства науки и высшего образования РФ в рамках государственного задания ФГБОУ ВО «УУНиТ» (соглашение №075-03-2023-119/1) молодежной научно-исследовательской лаборатории НОЦ «Металлы и сплавы при экстремальных воздействиях» для Ю. Р. Шараповой (проведение расчетов) и М. М. Казакова (анализ и обсуждение полученных результатов). М. Н. Семёнова (постановка задачи и моделирование) благодарит за поддержку исследования Российский научный фонд, грант 24-22-00092.</funding-statement><funding-statement xml:lang="en">The research was conducted with the financial support from the Ministry of Science and Higher Education of the Russian Federation within the framework of the state assignment of Ufa University of Science and Technology (Agreement No. 075-03-2023-119/1) of the Youth Scientific Research Laboratory of the Research and Educational Center “Metals and Alloys under Extreme Impacts” to Yu. R. Sharapova (performing calculations) and M. M. Kazakov (analysing and discussing the results obtained). M. N. Semyonova (problem formulation and modeling) acknowledges support from the Russian Science Foundation (grant 24-22-00092).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Wei Q, Schuster BE, Mathaudhu SN, et al. Dynamic behaviors of body-centered cubic metals with ultrafine grained and nanocrystalline microstructures. Elsevier: Materials Science and Engineering: A, 2008;493:58-64 (in English).</mixed-citation><mixed-citation xml:lang="en">Wei Q, Schuster BE, Mathaudhu SN, et al. Dynamic behaviors of body-centered cubic metals with ultrafine grained and nanocrystalline microstructures. Elsevier: Materials Science and Engineering: A, 2008;493:58-64 (in English).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Shepelev IA, Chetverikov AP, Dmitriev SV, Korznikova EA. 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