<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">npe</journal-id><journal-title-group><journal-title xml:lang="ru">Ядерная физика и инжиниринг</journal-title><trans-title-group xml:lang="en"><trans-title>Nuclear Physics and Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-5629</issn><issn pub-type="epub">2079-5637</issn><publisher><publisher-name>МИФИ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.56304/S2079562926010380</article-id><article-id custom-type="edn" pub-id-type="custom">QFMJZD</article-id><article-id custom-type="elpub" pub-id-type="custom">npe-662</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>Математическое моделирование в ядерных технологиях</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Mathematical Modeling in Nuclear Technologies</subject></subj-group></article-categories><title-group><article-title>ВЛИЯНИЕ РАЗУПОРЯДОЧЕНИЯ БАЗИСА СЛОЖНЫХ ДЕФЕКТНЫХ СТРУКТУР НА МАГНИТНЫЕ СВОЙСТВА ВТСП</article-title><trans-title-group xml:lang="en"><trans-title>INFLUENCE OF DISORDER OF THE BASIS OF COMPLEX DEFECT STRUCTURES ON THE MAGNETIC PROPERTIES OF HTS</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>Рыкун</surname><given-names>К. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Rykun</surname><given-names>K. N.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мороз</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Moroz</surname><given-names>A. N.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Максимова</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Maksimova</surname><given-names>A. N.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кашурников</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kashurnikov</surname><given-names>V. A.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский ядерный университет “МИФИ”</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>11</day><month>05</month><year>2026</year></pub-date><volume>17</volume><issue>3</issue><fpage>412</fpage><lpage>422</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Рыкун К.Н., Мороз А.Н., Максимова А.Н., Кашурников В.А., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Рыкун К.Н., Мороз А.Н., Максимова А.Н., Кашурников В.А.</copyright-holder><copyright-holder xml:lang="en">Rykun K.N., Moroz A.N., Maksimova A.N., Kashurnikov V.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://npe.elpub.ru/jour/article/view/662">https://npe.elpub.ru/jour/article/view/662</self-uri><abstract><p>Методом Монте-Карло рассчитаны петли перемагничивания образцов сверхпроводника YBa2Cu3O7–x со сложными периодическими дефектными структурами с разной степенью разупорядочения. Продемонстрировано негативное влияние локального беспорядка на ширину петли перемагничивания и остаточную намагниченность образцов. Показано, что основной механизм потери магнитных свойств заключается в образовании каналов для выхода свободных вихрей из образца, однако распределения с большими расстояниями между соседними макродефектами лучше сопротивляются разупорядочению.</p></abstract><trans-abstract xml:lang="en"><p>Magnetization loops of samples of the YBa2Cu3O7–x superconductor with complex periodic defect structures with different degrees of disorder have been calculated using the Monte Carlo method. The negative effect of local disorder on the magnetization loop width and residual magnetization of the samples has been demonstrated. It has been shown that the main mechanism of loss of magnetic properties is the formation of channels for the exit of free vortices from the sample, however, distributions with large distances between neighboring macrodefects resist disordering better.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>высокотемпературный сверхпроводник</kwd><kwd>намагниченность</kwd><kwd>пиннинг</kwd><kwd>вихри Абрикосова</kwd><kwd>разупорядочение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>high-temperature superconductor</kwd><kwd>magnetization</kwd><kwd>pinning</kwd><kwd>Abrikosov vortices</kwd><kwd>disorder</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Данная работа выполнена в рамках программы “Приоритет-2030”</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">Martinez-Perez M.J., Muller B., Schwebius D., Korinski D., Kleiner R., Sese J., Koelle D. NanoSQUID magnetometry of individual cobalt nanoparticles grown by focused electron beam induced deposition // Supercond. Sci. Technol. 2016. V. 30 (2). P. 024003.</mixed-citation><mixed-citation xml:lang="en">Martinez-Perez M.J., Muller B., Schwebius D., Korinski D., Kleiner R., Sese J., Koelle D. NanoSQUID magnetometry of individual cobalt nanoparticles grown by focused electron beam induced deposition // Supercond. Sci. Technol. 2016. V. 30 (2). P. 024003.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu X., Cheng M. Design and Analysis of 10 MW Class HTS Exciting Double Stator Direct-Drive Wind Generator With Stationary Seal // IEEE Access. 2019. V. 7. P. 51129–51139.</mixed-citation><mixed-citation xml:lang="en">Zhu X., Cheng M. Design and Analysis of 10 MW Class HTS Exciting Double Stator Direct-Drive Wind Generator With Stationary Seal // IEEE Access. 2019. V. 7. P. 51129–51139.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Portone A., Giannini L., Lorenzo J., Cau F. Design of superconducting tokamak magnet systems and applications to HTS // Fusion Eng. Des. , 2023. V. 193. P. 113862.</mixed-citation><mixed-citation xml:lang="en">Portone A., Giannini L., Lorenzo J., Cau F. Design of superconducting tokamak magnet systems and applications to HTS // Fusion Eng. Des. , 2023. V. 193. P. 113862.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Ren L., Xu Y., ZuoW., Shi X., Jiao F., Liu Y., Deng J., Li J., Shi J., Wang S., Tang Y., Wen J., Han P., Qu Q., Liu H., Chen J., He Q., Jin T., Zhou S. Development of a Movable HTS SMES System // IEEE Trans. Appl. Supercond. 2015. V. 25 (4). P. 5701109.</mixed-citation><mixed-citation xml:lang="en">Ren L., Xu Y., ZuoW., Shi X., Jiao F., Liu Y., Deng J., Li J., Shi J., Wang S., Tang Y., Wen J., Han P., Qu Q., Liu H., Chen J., He Q., Jin T., Zhou S. Development of a Movable HTS SMES System // IEEE Trans. Appl. Supercond. 2015. V. 25 (4). P. 5701109.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Zou X., Guo S., Ren L., Li X., Xu Y., Tang Y. A safe operation strategy for HTS-SMES magnets based on state prediction // Cryogenics. 2023. V. 131. P. 103660.</mixed-citation><mixed-citation xml:lang="en">Zou X., Guo S., Ren L., Li X., Xu Y., Tang Y. A safe operation strategy for HTS-SMES magnets based on state prediction // Cryogenics. 2023. V. 131. P. 103660.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Feighan J.P.F., Kursumovic A., MacManus-Driscoll J.L. Materials design for artificial pinning centres in superconductor PLD coated conductors // Supercond. Sci. Technol. 2017. V. 30 (12). P. 123001.</mixed-citation><mixed-citation xml:lang="en">Feighan J.P.F., Kursumovic A., MacManus-Driscoll J.L. Materials design for artificial pinning centres in superconductor PLD coated conductors // Supercond. Sci. Technol. 2017. V. 30 (12). P. 123001.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Dou S.X., Pan A.V., Zhou S., Ionescu M., Liu H.K., Munroe P.R. Substitution-induced pinning in MgB2 superconductor doped with SiC nano-particles // Supercond. Sci. Technol. 2002. V. 15 (11). P. 1587.</mixed-citation><mixed-citation xml:lang="en">Dou S.X., Pan A.V., Zhou S., Ionescu M., Liu H.K., Munroe P.R. Substitution-induced pinning in MgB2 superconductor doped with SiC nano-particles // Supercond. Sci. Technol. 2002. V. 15 (11). P. 1587.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Qiu L.-P., Zhang Y.-R., Gao S.-L., Zheng Q.-H., Zhang T.-T., Cheng G.-T., Cao S.-Z., Hang W.- P., Ramakrishna S., Long Y.-Z. Fabrication and magnetic properties of SiO2 nanoparticlesdoped BSCCO superconducting nanofibers by solution blow spinning // Phys. C (Amsterdam, Neth.). 2023. V. 608. P. 1354251.</mixed-citation><mixed-citation xml:lang="en">Qiu L.-P., Zhang Y.-R., Gao S.-L., Zheng Q.-H., Zhang T.-T., Cheng G.-T., Cao S.-Z., Hang W.- P., Ramakrishna S., Long Y.-Z. Fabrication and magnetic properties of SiO2 nanoparticlesdoped BSCCO superconducting nanofibers by solution blow spinning // Phys. C (Amsterdam, Neth.). 2023. V. 608. P. 1354251.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Yi-jun F., Qi-heng C., Pei-heng W. The electron-beam irradiation on the high temperature superconducting thinfilms // Acta Phys. Sin. (Overseas Ed.). 1995. V. 4 (4). P. 301.</mixed-citation><mixed-citation xml:lang="en">Yi-jun F., Qi-heng C., Pei-heng W. The electron-beam irradiation on the high temperature superconducting thinfilms // Acta Phys. Sin. (Overseas Ed.). 1995. V. 4 (4). P. 301.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Swiecicki I., Ulysse C., Wolf T., Bernard R., Bergeal N., Briatico J., Faini G., Lesueur J., Villegas J.E. Strong field-matching effects in superconducting YBa2- Cu3O7−δ films with vortex energy landscapes engineered via masked ion irradiation // Phys. Rev. B. 2012. V. 85. P. 224502.</mixed-citation><mixed-citation xml:lang="en">Swiecicki I., Ulysse C., Wolf T., Bernard R., Bergeal N., Briatico J., Faini G., Lesueur J., Villegas J.E. Strong field-matching effects in superconducting YBa2- Cu3O7−δ films with vortex energy landscapes engineered via masked ion irradiation // Phys. Rev. B. 2012. V. 85. P. 224502.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Haag L., Zechner G., Lang W., Dosmailov M., Bodea M., Pedarnig J. Strong vortex matching effects in YBCO films with periodic modulations of the superconducting order parameter fabricated by masked ion irradiation // Phys. C (Amsterdam, Neth.). 2014. V. 503. P. 75–81.</mixed-citation><mixed-citation xml:lang="en">Haag L., Zechner G., Lang W., Dosmailov M., Bodea M., Pedarnig J. Strong vortex matching effects in YBCO films with periodic modulations of the superconducting order parameter fabricated by masked ion irradiation // Phys. C (Amsterdam, Neth.). 2014. V. 503. P. 75–81.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Karrer M., Aichner B., Wurster K., et al. Vortex matching at 6 T in YBa2Cu3O7−δ thin films by imprinting a 20-nm periodic pinning array with a focused heliumion beam // Phys. Rev. Appl. 2024. V. 22 (1). P. 014043.</mixed-citation><mixed-citation xml:lang="en">Karrer M., Aichner B., Wurster K., et al. Vortex matching at 6 T in YBa2Cu3O7−δ thin films by imprinting a 20-nm periodic pinning array with a focused heliumion beam // Phys. Rev. Appl. 2024. V. 22 (1). P. 014043.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Sinclair J., Zuev Y.L., Cantoni C., Wee S.H., Varanasi C., Thompson J.R., Christen D.K. Matching field effects at Tesla-level magnetic fields in critical current density in high-TC superconductors containing self-assembled columnar defects // Supercond. Sci. Technol. 2012. V. 25 (11). P. 115003.</mixed-citation><mixed-citation xml:lang="en">Sinclair J., Zuev Y.L., Cantoni C., Wee S.H., Varanasi C., Thompson J.R., Christen D.K. Matching field effects at Tesla-level magnetic fields in critical current density in high-TC superconductors containing self-assembled columnar defects // Supercond. Sci. Technol. 2012. V. 25 (11). P. 115003.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Zechner G., Jausner F., Haag L., Lang W., Dosmailov M., Bodea M., Pedarnig J. Hysteretic Vortex-Matching Effects in High-Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection // Phys. Rev. Appl. 2017. V. 8 (1). P. 014021.</mixed-citation><mixed-citation xml:lang="en">Zechner G., Jausner F., Haag L., Lang W., Dosmailov M., Bodea M., Pedarnig J. Hysteretic Vortex-Matching Effects in High-Tc Superconductors with Nanoscale Periodic Pinning Landscapes Fabricated by He Ion-Beam Projection // Phys. Rev. Appl. 2017. V. 8 (1). P. 014021.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Trastoy J., Ulysse C., Bernard R., Malnou M., Bergeal N., Lesueur J., Briatico J., Villegas J.E. Tunable FluxMatching Effects in High-Tc Superconductors with Nonuniform Pinning Arrays // Phys. Rev. Appl. 2015. V. 4 (5). P. 054003.</mixed-citation><mixed-citation xml:lang="en">Trastoy J., Ulysse C., Bernard R., Malnou M., Bergeal N., Lesueur J., Briatico J., Villegas J.E. Tunable FluxMatching Effects in High-Tc Superconductors with Nonuniform Pinning Arrays // Phys. Rev. Appl. 2015. V. 4 (5). P. 054003.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Moroz A., Rudnev I., Stepanenko A., Maksimova A., Kashurnikov V. Features of Vortex Dynamics in a HTS with Disordered Pinning Lattice // J. Supercond. Novel Magn. 2024. V. 37 (2). P. 339–353.</mixed-citation><mixed-citation xml:lang="en">Moroz A., Rudnev I., Stepanenko A., Maksimova A., Kashurnikov V. Features of Vortex Dynamics in a HTS with Disordered Pinning Lattice // J. Supercond. Novel Magn. 2024. V. 37 (2). P. 339–353.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
