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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">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2020-11-3-294-300</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-423</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Mechanisms of energy-efficient magnetization switching in a bistable nanowire</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>Badarneh</surname><given-names>M.H.A.</given-names></name></name-alternatives><bio xml:lang="en"><p>107 Reykjav´ık</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>Kwiatkowsk</surname><given-names>G. J.</given-names></name></name-alternatives><bio xml:lang="en"><p>107 Reykjav´ık</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>Bessarab</surname><given-names>P. F.</given-names></name></name-alternatives><bio xml:lang="en"><p>107 Reykjav´ık</p><p>197101 St. Petersburg, Russia</p><p>Forschungszentrum Julich, 52425 Julich, Germany</p></bio><email xlink:type="simple">bessarab@hi.is</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Science Institute, University of Iceland</institution><country>Iceland</country></aff><aff xml:lang="en" id="aff-2"><institution>Science Institute, University of Iceland; ITMO University; Peter Grunberg Institute and Institute for Advanced Simulation</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>30</day><month>07</month><year>2025</year></pub-date><volume>11</volume><issue>3</issue><elocation-id>294–300</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Badarneh M., Kwiatkowsk G.J., Bessarab P.F., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Badarneh M., Kwiatkowsk G.J., Bessarab P.F.</copyright-holder><copyright-holder xml:lang="en">Badarneh M., Kwiatkowsk G.J., Bessarab P.F.</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://nanojournal.ifmo.ru/jour/article/view/423">https://nanojournal.ifmo.ru/jour/article/view/423</self-uri><abstract><p>Theoretical calculations of optimal control paths minimizing the energy cost of the magnetization reversal in 1D magnetic nanowires are presented. The energy-efficient reversal mechanism is studied as a function of the nanowire length and Gilbert damping parameter. For short nanowires, the optimal reversal mechanism corresponds to a uniform rotation of magnetization. If the length of the wire exceeds a certain critical length defined by the material parameters, switching time and damping, a standing spin wave emerges during magnetization switching. Comparison between the calculated optimal control paths and minimum energy paths reveals that realization of high energy efficiency of switching does not necessarily translate to the minimization of the energy barrier between the target magnetic states.</p></abstract><kwd-group xml:lang="en"><kwd>magnetic nanowire</kwd><kwd>magnetization switching</kwd><kwd>optimal control</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The authors would like to thank T. Sigurjonsd´ ottir for helpful discussions. This work was funded by the Rus-´ sian Science Foundation (Grant No. 19-72-10138), the Icelandic Research Fund (Grant No. 184949-052), and the Alexander von Humboldt Foundation.</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">Stano M., Fruchart O. Magnetic nanowires and nanotubes. Inˇ Handbook of Magnetic Materials, vol. 27, ed. Bruck E. Elsevier, Amsterdam.,¨ 2018, P. 155–267.</mixed-citation><mixed-citation xml:lang="en">Stano M., Fruchart O. Magnetic nanowires and nanotubes. Inˇ Handbook of Magnetic Materials, vol. 27, ed. Bruck E. Elsevier, Amsterdam.,¨ 2018, P. 155–267.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Parkin S.S.P., Hayashi M. Thomas L. Magnetic domain-wall racetrack memory. 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