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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">techusgu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета. Серия: Техника и технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University. Series: Engineering and Technology</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1528</issn><publisher><publisher-name>Юго-Западный государственный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/22231528-2022-12-1-146-158</article-id><article-id custom-type="elpub" pub-id-type="custom">techusgu-70</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Генерация низкочастотных упругих волн в магнитной жидкости</article-title><trans-title-group xml:lang="en"><trans-title>Generation of Low-Frequency Elastic Waves in Magnetic Fluids</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5963-9904</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пауков</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Paukov</surname><given-names>V. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пауков Владимир Митрофанович, кандидат физико-математических наук, доцент  кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Vladimir M. Paukov, Сand. of Sci. (Physics and Mathematics), Associate Professor  of the Department of Nanotechnology, General and Applied Physics</p><p>50 Let Oktyabrya str. 94, Kursk, 305040</p></bio><email xlink:type="simple">paukov.vm@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0348-8844</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Беседин</surname><given-names>А. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Besedin</surname><given-names>A. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Беседин Александр Геннадьевич, кандидат физико-математематических наук, доцент  кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Alexander G. Besedin, Сand. of Sci. (Physics and Mathematics), Associate Professor  of the Department of Nanotechnology,  General and Applied Physics</p><p>50 Let Oktyabrya str. 94, Kursk, 305040</p></bio><email xlink:type="simple">besedin_a_g@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4517-7139</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Танцюра</surname><given-names>А. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Tantsyura</surname><given-names>A. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Танцюра Антон Олегович, кандидат физикоматематематических наук, доцент кафедры электроснабжения</p><p>ул. 50 лет Октября 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Anton O. Tantsyura, Сand. of Sci. (Physics  and Mathematics), Associate Professor  of the Department of Power Supply</p><p>50 Let Oktyabrya str. 94, Kursk, 305040</p></bio><email xlink:type="simple">tanczyra@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1652-7830</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чекаданов</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Chekadanov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чекаданов Александр Сергеевич, научный  сотрудник Регионального центра  нанотехнологий</p><p>ул. 50 лет Октября 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Alexander S. Chekadanov, Researcher of the Regional Center for Nanotechnology</p><p>50 Let Oktyabrya str. 94, Kursk, 305040</p></bio><email xlink:type="simple">alexch17@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8087-874X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Неручев</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Neruchev</surname><given-names>Yu. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Неручев Юрий Анатольевич, доктор  физико-математических наук, профессор</p><p>ул. Радищева 33, г.Курск 305000</p></bio><bio xml:lang="en"><p>Yuri A. Neruchev, Dr. of Sci. (Physics and Mathematics), Professor</p><p>33 Radishcheva str., Kursk 305000</p></bio><email xlink:type="simple">yuan2003@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Булгакова</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bulgakova</surname><given-names>A.  A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Булгакова Анастасия Александровна,  студент кафедры нанотехнологий,  микроэлектроники, общей и прикладной  физики</p><p>ул. 50 лет Октября 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Anastasia A. Bulgakova, Student  of Department of Nanotechnology, General  and Applied Physics</p><p>50 Let Oktyabrya str. 94, Kursk, 305040</p></bio><email xlink:type="simple">bulgakova.0@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southwest State University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Курский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kursk State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>28</day><month>04</month><year>2023</year></pub-date><volume>12</volume><issue>1</issue><fpage>146</fpage><lpage>158</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Пауков В.М., Беседин А.Г., Танцюра А.О., Чекаданов А.С., Неручев Ю.А., Булгакова А.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Пауков В.М., Беседин А.Г., Танцюра А.О., Чекаданов А.С., Неручев Ю.А., Булгакова А.А.</copyright-holder><copyright-holder xml:lang="en">Paukov V.M., Besedin A.G., Tantsyura A.O., Chekadanov A.S., Neruchev Y.A., Bulgakova A.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://techusgu.elpub.ru/jour/article/view/70">https://techusgu.elpub.ru/jour/article/view/70</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования. Анализ механизмов генерации упругих волн в магнитной жидкости, находящейся в постоянном магнитном поле, посредством наложения переменного магнитного поля.  </p></sec><sec><title>Методы</title><p>Методы. Теоретический расчет зависимости относительной амплитуды возбуждаемых колебаний от напряженности подмагничивающего поля (постоянной составляющей) проводится в предположении о жесткой связи между магнитной наночастицей и ее магнитным моментом (броуновский механизм намагничивания) и возможности магнитного момента вращаться независимо от самой частицы (неелевский механизм намагничивания). В работе проводится сравнение теоретических выводов с ранее опубликованными экспериментальными данными.  </p></sec><sec><title>Результаты</title><p>Результаты. В случае, когда постоянное и переменное магнитные поля перпендикулярны друг другу, функция амплитуды магнитоакустического эффекта от величины постоянного магнитного поля имеет вначале линейно возрастающий характер, затем переходящий в насыщение. Зависимость величины магнитоакустического эффекта от частоты может обнаруживать несколько максимумов. Теоретический анализ показывает, что число максимумов равно четырем (на опыте обнаружено три). При фиксированном магнитном поле максимум величины упругих колебаний, генерируемых в магнитной жидкости, растет пропорционально квадрату частоты. В случае параллельности переменного и постоянного магнитных полей доминирующим механизмом генерации упругих волн является пондеромоторный механизм. Зависимость магнитоакустического эффекта от постоянного магнитного поля имеет вид функции Ланжевена. </p></sec><sec><title>Заключение</title><p>Заключение. В работе предложены механизмы генерации упругих волн в магнитной жидкости, находящейся в постоянном магнитном поле, посредством наложения переменного магнитного поля, которое в одном случае перпендикулярно переменному полю, а в другом – параллельно ему. </p></sec></abstract><trans-abstract xml:lang="en"><p>The purpose of the study is to analyse the mechanisms of generation of elastic waves in magnetic fluids in a constant magnetic field by applying an alternating magnetic field.  </p><sec><title>Metods</title><p>Metods. The theoretical calculation of the dependence of the relative amplitude of the excited oscillations on the strength of the magnetizing field (constant component) is carried out under the assumption of a rigid connection between a magnetic nanoparticle and its magnetic moment (Brownian mechanism of magnetization) and the possibility of the magnetic moment to rotate independently of the particle itself (Néel mechanism of magnetization). The work provides a comparison of theoretical conclusions with previously published experimental data. </p></sec><sec><title>Results</title><p>Results. In the case when the constant and alternating magnetic fields are perpendicular to each other, the function of the amplitude of the magnetoacoustic effect on the magnitude of the constant magnetic field has a linearly increasing character at first, then turns into saturation. The frequency dependence of the magnitude of the magnetoacoustic effect can exhibit several maxima. Theoretical analysis shows that the number of maxima is four (three were found experimentally). At a fixed magnetic field, the maximum value of the elastic vibrations generated in the magnetic fluid increases in proportion to the square of the frequency. In the case of parallelism of alternating and constant magnetic fields, the dominant mechanism for the generation of elastic waves is the ponderomotive mechanism. The dependence of the magnetoacoustic effect on a constant magnetic field has the form of the Langevin function. </p></sec><sec><title>Conclusion</title><p>Conclusion. The paper proposes mechanisms for the generation of elastic waves in a magnetic fluid in a constant magnetic field by applying an alternating magnetic field, which in one case is perpendicular to the alternating field, and in the other parallel to it.  </p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>магнитная жидкость</kwd><kwd>переменное магнитное поле</kwd><kwd>упругая волна</kwd><kwd>магнитоакустический эффект</kwd><kwd>вращательный момент частицы</kwd><kwd>функция Ланжевена</kwd></kwd-group><kwd-group xml:lang="en"><kwd>magnetic fluid</kwd><kwd>alternating magnetic field</kwd><kwd>elastic wave</kwd><kwd>magnetoacoustic effect</kwd><kwd>rotational moment of a particle</kwd><kwd>Langevin function</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Публикация подготовлена в рамках реализации программы стратегического академического лидерства «Приоритет-2030» (Соглашения № 075-15-2021-1155 и № 075-15-2021-1213) и государственного задания (номер 0851-2020-0035).</funding-statement><funding-statement xml:lang="en">The publication was prepared as part of the implementation of the strategic academic leadership program  "Priority 2030" (Agreements No. 075-15-2021-1155 and No. 075-15-2021-1213) and the State Task (number 08512020-0035).</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">Odenbach S. 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