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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solnechno-Zemnaya Fizika</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solnechno-Zemnaya Fizika</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Солнечно-земная физика</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2712-9640</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">50739</article-id>
   <article-id pub-id-type="doi">10.12737/szf-83202201</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Обзоры</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Reviews </subject>
    </subj-group>
    <subj-group>
     <subject>Обзоры</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Numerical analysis of the spatial structure of Alfvén waves in a finite pressure plasma in a dipole magnetosphere</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Численный анализ пространственной структуры альфвеновских волн в плазме конечного давления в дипольной магнитосфере</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Петращук</surname>
       <given-names>Александр Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Petrashchuk</surname>
       <given-names>Aleksandr Vladimirovich</given-names>
      </name>
     </name-alternatives>
     <email>av.petrashchuk@mail.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5450-3397</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Магер</surname>
       <given-names>Павел Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mager</surname>
       <given-names>Pavel Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>p.mager@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3278-6250</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Климушкин</surname>
       <given-names>Дмитрий Юрьевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Klimushkin</surname>
       <given-names>Dmitri Yur'evich</given-names>
      </name>
     </name-alternatives>
     <email>klimush@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-09-30T20:55:38+03:00">
    <day>30</day>
    <month>09</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-09-30T20:55:38+03:00">
    <day>30</day>
    <month>09</month>
    <year>2022</year>
   </pub-date>
   <volume>8</volume>
   <issue>3</issue>
   <fpage>4</fpage>
   <lpage>13</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-05-28T00:00:00+03:00">
     <day>28</day>
     <month>05</month>
     <year>2022</year>
    </date>
    <date date-type="accepted" iso-8601-date="2022-08-17T00:00:00+03:00">
     <day>17</day>
     <month>08</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://naukaru.ru/en/nauka/article/50739/view">https://naukaru.ru/en/nauka/article/50739/view</self-uri>
   <abstract xml:lang="ru">
    <p>Проведен численный анализ пространственной структуры альфвеновских волн в неоднородной плазме конечного давления в дипольной модели магнитосферы. Были рассмотрены три модели магнитосферы, различающиеся максимальным плазменным давлением и градиентом давления. Была рассмотрена задача на собственные значения частоты волны. Установлено, что частота полоидальной моды может быть либо больше частоты тороидальной моды, либо меньше ее в зависимости от давления плазмы и его градиента. Рассмотрена задача на собственные значения радиальной компоненты волнового вектора. Найдены точки отражения альфвеновской волны в различных моделях магнитосферы. Показано, что область распространения волны в модели с холодной плазмой существенно уже, чем в моделях с конечным давлением плазмы. Исследована структура главной гармоники альфвеновской волны при смене ее поляризации в трех моделях магнитосферы. Проведено численное исследование влияния давления плазмы на структуру поведения всех компонент электрического и магнитного поля альфвеновских волн. Установлено, что при определенных параметрах модели магнитосферы магнитное поле может иметь три узла в то время как в модели с холодной плазмой только один. Кроме того, продольная компонента магнитного поля дважды меняет знак вдоль силовой линии магнитного поля.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>We have carried out a numerical analysis of the spatial structure of Alfvén waves in a finite pressure inhomogeneous plasma in a dipole model of the magnetosphere. We have considered three magnetosphere models differing in maximum plasma pressure and pressure gradient. The problem of wave eigenfrequencies was addressed. We have established that the poloidal frequency can be either greater or less than the toroidal frequency, depending on plasma pressure and its gradient. The problem of radial wave vector component eigenvalues was considered. We have found points of Alfvén wave reflection in various magnetosphere models. The wave propagation region in the cold plasma model is shown to be significantly narrower than that in models with finite plasma pressure. We have investigated the structure of the main Alfvén wave harmonic when its polarization changes in three magnetosphere models. A numerical study into the effect of plasma pressure on the structure of behavior of all Alfvén wave electric and magnetic field components has been carried out. We have established that for certain parameters of the magnetosphere model the magnetic field can have three nodes, whereas in the cold plasma model there is only one. Moreover, the longitudinal magnetic field component changes sign twice along the magnetic field line.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>МГД-волны</kwd>
    <kwd>дипольная модель магнитосферы</kwd>
    <kwd>МГД-резонансы</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>MHD waves</kwd>
    <kwd>dipole model of the magnetosphere</kwd>
    <kwd>MHD resonances</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Минобрнауки России</funding-statement>
    <funding-statement xml:lang="en">The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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