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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-229</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Magnetic field of type II superconductors in the normal flux core model (in Russian)</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Minkin</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>420008 Kazan</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Tsarevskii</surname><given-names>S. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>420008 Kazan</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Kazan State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2004</year></pub-date><pub-date pub-type="epub"><day>22</day><month>01</month><year>2024</year></pub-date><volume>6</volume><issue>1</issue><issue-title>Special Issue</issue-title><fpage>133</fpage><lpage>139</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Minkin A.V., Tsarevskii S.I., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Minkin A.V., Tsarevskii S.I.</copyright-holder><copyright-holder xml:lang="en">Minkin A.V., Tsarevskii S.I.</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.mrsej.ru/jour/article/view/229">https://www.mrsej.ru/jour/article/view/229</self-uri><abstract><p>The model of the normal flux core of the Abrikosov's vortex in a type II superconductor is used (κ &gt;&gt;1, k is the Ginzburg-Landau parameter). It is shown, that on the basis of the quantum-mechanical generalization of the London's equation for the superconducting current with the supposition of the normal flux core the equations for the magnetic field rearrange to the form of generalized London's equation (with an accuracy 1/κ). Solutions of generalized London 's equation are obtained for a single vortex in infinite superconductor and for the vortex lattice in a semi-infinite superconductor. It is shown, that these solutions are finite in any point of the space and that the removal of divergences is getting automatically. The normal flux core model offers an advantage over the Clem's model, so that it allows to solve the boundary-value problem more successfully for the vortex lattice of the superconducting semispace.</p></abstract><funding-group><funding-statement xml:lang="en">Работа выполнена при поддержке гранта CRDF (REC-007).</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">Ю.М. Белоусов, В.М. Горбунов, В.П. Смилга, И.В. Фесенко, УФН 160, 55 (1990).</mixed-citation><mixed-citation xml:lang="en">Ю.М. Белоусов, В.М. Горбунов, В.П. Смилга, И.В. Фесенко, УФН 160, 55 (1990).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Д. Сан Жам, Г. Сарма, Е. Томас. Сверхпроводимость второго рода. Мир. М. 1970.</mixed-citation><mixed-citation xml:lang="en">Д. Сан Жам, Г. Сарма, Е. Томас. 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