<?xml version="1.0"?>
<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article 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" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Physics in Higher Education</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Physics in Higher Education</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Физическое образование в вузах</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">1609-3143</issn>
   <issn publication-format="online">1607-2340</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">110824</article-id>
   <article-id pub-id-type="doi">10.54965/1609-3143-2025-31-4-18-35</article-id>
   <article-id pub-id-type="edn">tlhrve</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Образование</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Education</subject>
    </subj-group>
    <subj-group>
     <subject>Образование</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Ponderomotive Forces. 2. Magnetics and Nonlinear Materials</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Пондеромоторные силы. 2. Магнетики и нелинейные материалы</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Максимычев</surname>
       <given-names>Александр Витальевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Maksimychev</surname>
       <given-names>Aleksandr Vital'evich</given-names>
      </name>
     </name-alternatives>
     <email>maksimychev.av@mipt.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Меньшиков</surname>
       <given-names>Леонид Иеронимович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Menshikov</surname>
       <given-names>Leonid Ieronimovich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Меньшиков</surname>
       <given-names>Петр Леонидович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Men'shikov</surname>
       <given-names>Petr Leonidovich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сенченков</surname>
       <given-names>Сергей Анатольевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Senchenkov</surname>
       <given-names>Sergey Anatol'evich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Московский физико-технический институт (государственный университет)</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Moscow Institute of Physics and Technology (State University)</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Национальный исследовательский центр «Курчатовский институт»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">National Research Center «Kurchatov institute»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Национальный исследовательский центр «Курчатовский институт»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">National Research Center «Kurchatov institute»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Национальный исследовательский центр «Курчатовский институт»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">National Research Center «Kurchatov institute»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-12-31T00:00:00+03:00">
    <day>31</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-31T00:00:00+03:00">
    <day>31</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <volume>31</volume>
   <issue>4</issue>
   <fpage>18</fpage>
   <lpage>35</lpage>
   <history>
    <date date-type="received" iso-8601-date="2025-12-23T00:00:00+03:00">
     <day>23</day>
     <month>12</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://pinhe.moomfo.ru/en/nauka/article/110824/view">https://pinhe.moomfo.ru/en/nauka/article/110824/view</self-uri>
   <abstract xml:lang="ru">
    <p>На основе электродинамики сплошной среды и термодинамики рассматриваются основные проявления пондеромоторных сил, действующих в магнетиках и нелинейных материалах. На конкретных примерах обсуждаются методы решения задач по данной теме. Особое внимание уделяется граничным условиям, в которых наблюдается проявление пондеромоторных сил. Данная тема является одной из наиболее сложных в разделе «Электромагнетизм» курса общей физики. Разобраны неточности и ошибки, встречающиеся в литературе при изложении данной темы.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Based on the electrodynamics of a continuous medium and thermodynamics, the main manifestations of the ponderomotive forces acting in ferromagnetics and nonlinear materials are considered. Methods of solving problems on this topic are discussed using specific examples. Special attention is paid to the boundary conditions in which the manifestation of the ponderomotive forces is observed. This topic is one of the most complex in the «Electromagnetism» section of the general physics course. The inaccuracies and errors found in the literature when presenting this topic are analyzed.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>пондеромоторные силы</kwd>
    <kwd>магнетики</kwd>
    <kwd>нелинейные материалы</kwd>
    <kwd>термодинамика</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>ponderomotive forces</kwd>
    <kwd>magnetics</kwd>
    <kwd>nonlinear materials</kwd>
    <kwd>thermodynamics</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Helmholtz H. // Ann. d. Phys. Chem. – 1881. – Vol. 12. – P. 385-401.</mixed-citation>
     <mixed-citation xml:lang="en">Helmholtz H. // Ann. d. Phys. Chem.– 1881. – Vol. 12. – P. 385-401.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Minkowski H. // Math. Annalen. – 1910. – Vol. 68. – P. 472-490.</mixed-citation>
     <mixed-citation xml:lang="en">Minkowski H. // Math. Annalen. – 1910. – Vol. 68. – P. 472-490.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Abraham M. // Rend. Circ. Matem. Palermo. – 1909. – Vol. 28. – P. 1-19.</mixed-citation>
     <mixed-citation xml:lang="en">Abraham M. // Rend. Circ. Matem. Palermo. – 1909. – Vol. 28. – P. 1-19.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Abraham M. // Rend. Circ. Matem. Palermo. – 1910. – Vol. 30. – P. 33-45.</mixed-citation>
     <mixed-citation xml:lang="en">Abraham M. // Rend. Circ. Matem. Palermo. – 1910. – Vol. 30. – P. 33-45.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Павлов В.И. // УФН. – 1978. – Т. 124. – С. 345–349.</mixed-citation>
     <mixed-citation xml:lang="en">Pavlov V.I. // Physics Uspekhi. – 1978. – Vol. 124. – P. 345-349.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Макаров В.П., Рухадзе А.А. // УФН. – 2009. – Т. 179. – С. 995–1001.</mixed-citation>
     <mixed-citation xml:lang="en">Makarov V.P., Rukchadze A.A. // Physics Uspekhi. – 2009. – Vol. 179. – P. 995-1001</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Абрагам М., Беккер Р. Теория электричества. – Москва-Ленинград: ГОНТИ НКТН СССР, 1939.</mixed-citation>
     <mixed-citation xml:lang="en">Abraham M., Becker R. Theory of electricity. – Moscow-Leningrad: GONTI NCTN USSR, 1939.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Тамм И.Е. Основы теории электричества. – Москва: ФИЗМАТЛИТ, 2003.</mixed-citation>
     <mixed-citation xml:lang="en">Tamm I.E. Fundamentals of the theory of electricity. – Moscow: PHYSMATHLIT, 2003.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ландау Л.Д., Лифшиц Е.М. Электродинамика сплошных сред. – Москва: ФИЗМАТЛИТ, 2005.</mixed-citation>
     <mixed-citation xml:lang="en">Landau L.D., Lifshitz E.M. Electrodynamics of continuous media. – Moscow: PHYSMATHLIT, 2005.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Гинзбург В.Л. Теоретическая физика и астрофизика. Дополнительные главы. – Москва: Наука, 1981.</mixed-citation>
     <mixed-citation xml:lang="en">Ginzburg V.L. Theoretical Physics and Astrophysics. Additional Chapters. – Nauka, 1981.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Walker G.B., Lahоz D.G. // Nature. – 1975. – Vol. 253. – P. 339–340.</mixed-citation>
     <mixed-citation xml:lang="en">Walker G.B., Lahoz D.G. // Nature. – 1975. – Vol. 253. – P. 339-340.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Brevick I. // International Journal of Modern Physics A. – 2022. – Vol. 37. – № 11n12. – P. 2230007.</mixed-citation>
     <mixed-citation xml:lang="en">Brevick I. // International Journal of Modern Physics A. – 2022. – Vol. 37. – № 11n12. – P. 2230007.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Козел С.М., Лейман В.Г., Локшин Г.Р., Овчинкин В.А., Прут Э.В. Сборник задач по общему курсу физики. Часть 2. Электричество и магнетизм. Оптика. – Москва: Физматкнига, 2023.</mixed-citation>
     <mixed-citation xml:lang="en">Kozel S.M., Leiman V.G., Lokshin G.R., Ovchinkin V.A., Prut E.V. Collection of problems on the general course of physics. Part 2. Electricity and magnetism. Optics. – Moscow: PhysMathBook, 2023.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Кириченко Н.А. Электричество и магнетизм. – Москва: МФТИ, 2017.</mixed-citation>
     <mixed-citation xml:lang="en">Kirichenko N.A. Electricity and Magnetism. – Moscow: MIPT, 2017.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Корявов В.П. Методы решения задач в общем курсе физики. Электричество и магнетизм. – Москва: Студент, 2011</mixed-citation>
     <mixed-citation xml:lang="en">Koryavov V.P. Methods of solving problems in the general course of physics. Electricity and magnetism. – Moscow: Student, 2011</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
