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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">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-116</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Impurity spin in normal stochastic field: basic model of magnetic resonance</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>Dzheparov</surname><given-names>F. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>B. Cheremushkinskaya 25, Moscow 117258; Kashirskoe shosse 31, Moscow 115409</p></bio><email xlink:type="simple">dzheparov@itep.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Lvov</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>B. Cheremushkinskaya 25, Moscow 117258; Kashirskoe shosse 31, Moscow 115409</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute for Theoretical and Experimental Physics; National Research Nuclear University "MEPhI"</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>17</day><month>12</month><year>2016</year></pub-date><volume>18</volume><issue>2</issue><elocation-id>16201 (8 pp.)</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Dzheparov F.S., Lvov D.V., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Dzheparov F.S., Lvov D.V.</copyright-holder><copyright-holder xml:lang="en">Dzheparov F.S., Lvov D.V.</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://www.mrsej.ru/jour/article/view/116">https://www.mrsej.ru/jour/article/view/116</self-uri><abstract><p>Famous Anderson-Weiss-Kubo model of magnetic resonance is reconsidered in order to bridge existing gaps in its applications for solutions of fundamental problems of spin dynamics and theory of master equations. The model considers the local field fluctuations as one-dimensional normal random process. We refined the conditions of applicability of perturbation theory to calculate the spin depolarization. It is shown that for very slow fluctuations the behavior of the longitudinal magnetization is simply related to the correlation function of the local field. The effect could be checked by the experimental studies of magnetic resonance in quasi-Ising paramagnets.</p></abstract><kwd-group xml:lang="en"><kwd>magnetic resonance</kwd><kwd>spin relaxation</kwd><kwd>normal stochastic field</kwd><kwd>longitudinal correlation function</kwd><kwd>Anderson-Weiss-Kubo model</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Abragam A. Principles of Nuclear Magnetism. Oxford University Press, Oxford (1961)</mixed-citation><mixed-citation xml:lang="en">Abragam A. Principles of Nuclear Magnetism. 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