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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">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">phmath-328</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Поверхностная диффузия при субкритических температурах</article-title><trans-title-group xml:lang="en"><trans-title>SURFACE DIFFUSION AT SUBCRITICAL TEMPERATURES: SELECTED RIGOROUS RESULTS</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>Медведь</surname><given-names>Игорь</given-names></name><name name-style="western" xml:lang="en"><surname>Medved</surname><given-names>I. .</given-names></name></name-alternatives><email xlink:type="simple">imedved@ukf.sk</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>Трник</surname><given-names>Антон</given-names></name><name name-style="western" xml:lang="en"><surname>Trnik</surname><given-names>A. .</given-names></name></name-alternatives><email xlink:type="simple">atrnik@ukf.sk</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Чешский технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Czech Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2023</year></pub-date><volume>0</volume><issue>2</issue><fpage>48</fpage><lpage>54</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Медведь И..., Трник А..., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Медведь И., Трник А.</copyright-holder><copyright-holder xml:lang="en">Medved I..., Trnik 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://www.physmathmgou.ru/jour/article/view/328">https://www.physmathmgou.ru/jour/article/view/328</self-uri><abstract><p>Представлен статистическо-механический подход к изучению поверхностной диффузии с помощью модели газовой решётки. Обсуждаются общие формулы для функции покрытия химических и скачковых диффузионных коэффициентов при низких температурах и в локальном равновесном пределе. Также обсуждается использование специфической двухмерной модели.</p></abstract><trans-abstract xml:lang="en"><p>A statistical mechanical approach to study surface diffusion by lattice-gas models is presented. General formulas for the coverage dependences of chemical and jump diffusion coefficients are discussed at low temperatures and in the local equilibrium limit. An application to a specific two-dimensional model is considered.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>зависимость покрытия</kwd><kwd>низкие температуры</kwd><kwd>фазовые переходы</kwd><kwd>коэффициент поверхностной диффузии</kwd><kwd>Coverage dependence</kwd><kwd>low temperatures</kwd><kwd>phase transition</kwd><kwd>surface diffusion coefficient</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Reed D.A., Ehlrich G. Surface diffusion, atomic jump rates and thermodynamics. // Surface Science, 1981 V.102, p. 588</mixed-citation><mixed-citation xml:lang="en">Reed D.A., Ehlrich G. Surface diffusion, atomic jump rates and thermodynamics. // Surface Science, 1981 V.102, p. 588</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Myshlyavtsev A.V., Stepanov A.A, Uebing C., Zhdanov V.P. 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