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<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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Plasma Physics Reports</journal-id><journal-title-group><journal-title xml:lang="en">Plasma Physics Reports</journal-title><trans-title-group xml:lang="ru"><trans-title>Физика плазмы</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0367-2921</issn><issn publication-format="electronic">3034-6371</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">668762</article-id><article-id pub-id-type="doi">10.31857/S0367292124050026</article-id><article-id pub-id-type="edn">PWWXPV</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>TOKAMAKS</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ТОКАМАКИ</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Comparison of energy transport in plasma with ECR heating on the L-2M stellarator and T-10 tokamak</article-title><trans-title-group xml:lang="ru"><trans-title>Сравнение переноса энергии в плазме с ЭЦР-нагревом на стеллараторе Л-2М и токамаке Т-10</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Dnestrovskij</surname><given-names>Yu. N.</given-names></name><name xml:lang="ru"><surname>Днестровский</surname><given-names>Ю. Н.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Melnikov</surname><given-names>A. V.</given-names></name><name xml:lang="ru"><surname>Мельников</surname><given-names>А. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lysenko</surname><given-names>S. E.</given-names></name><name xml:lang="ru"><surname>Лысенко</surname><given-names>С. Е.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Meshcheryakov</surname><given-names>A. I.</given-names></name><name xml:lang="ru"><surname>Мещеряков</surname><given-names>А. И.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kharchev</surname><given-names>N. K.</given-names></name><name xml:lang="ru"><surname>Харчев</surname><given-names>Н. К.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Vasilkov</surname><given-names>D. G.</given-names></name><name xml:lang="ru"><surname>Васильков</surname><given-names>Д. Г.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Grebenshchikov</surname><given-names>S. E.</given-names></name><name xml:lang="ru"><surname>Гребенщиков</surname><given-names>С. Е.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kasyanova</surname><given-names>N. V.</given-names></name><name xml:lang="ru"><surname>Касьянова</surname><given-names>Н. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Cherkasov</surname><given-names>S. V.</given-names></name><name xml:lang="ru"><surname>Черкасов</surname><given-names>С. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Vafin</surname><given-names>I. Y.</given-names></name><name xml:lang="ru"><surname>Вафин</surname><given-names>И. Ю.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff4"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Eliseev</surname><given-names>L. G.</given-names></name><name xml:lang="ru"><surname>Елисеев</surname><given-names>Л. Г.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sychugov</surname><given-names>D. Yu.</given-names></name><name xml:lang="ru"><surname>Сычугов</surname><given-names>Д. Ю.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>Lysenko_SE@nrcki.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff5"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">National Research Centre «Kurchatov Institute»</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский центр «Курчатовский институт»</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">National Research Nuclear University MEPHI</institution></aff><aff><institution xml:lang="ru">Национальный ядерный университет МИФИ</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">Moscow Institute of Physics and Technology</institution></aff><aff><institution xml:lang="ru">Московский физико-технический институт (НИУ)</institution></aff></aff-alternatives><aff-alternatives id="aff4"><aff><institution xml:lang="en">Prokhorov General Physics Institute, Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт общей физики им. А.М. Прохорова РАН</institution></aff></aff-alternatives><aff-alternatives id="aff5"><aff><institution xml:lang="en">Moscow State University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет им. М.В. Ломоносова</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-12-05" publication-format="electronic"><day>05</day><month>12</month><year>2024</year></pub-date><volume>50</volume><issue>5</issue><issue-title xml:lang="ru"/><fpage>526</fpage><lpage>542</lpage><history><date date-type="received" iso-8601-date="2025-02-27"><day>27</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Российская академия наук</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0367-2921/article/view/668762">https://journals.eco-vector.com/0367-2921/article/view/668762</self-uri><abstract xml:lang="en"><p>Plasma was heated at the second harmonic of electron cyclotron resonance (ECR) in the L-2M stellarator and the T-10 tokamak. The concept of equivalent tokamak and stellarator discharges was extended to the case of both full and partial absorption of EC power. Comparison of experimental electron temperature profiles with profiles calculated using the canonical profiles transport model allows us to estimate the efficiency of ECR heating in the L-2M discharges without suprathermal electrons, which distort the distribution function, preventing reliable measurements of temperature. The dependence of the ECR heating efficiency on the plasma density was obtained, describing experiments on the L-2M and TJ-II stellarators, and on the T-10 tokamak. The energy characteristics (the stored energy and the confinement time) for L-2M discharges were calculated. Predictions for ECR heating in the T-15MD tokamak are considered. The features of solving the ill-posed transport problem for the L-2M are discussed.</p></abstract><trans-abstract xml:lang="ru"><p>Нагрев плазмы в стеллараторе Л-2М и токамаке Т-10 производится на второй гармонике электронно-циклотронного резонанса (ЭЦР). Использована концепция эквивалентных разрядов токамака и стелларатора, расширенная на случай как полного, так и частичного поглощения ЭЦ-мощности. Сравнение экспериментальных профилей электронной температуры с рассчитанными по транспортной модели канонических профилей позволило оценить эффективность ЭЦР-нагрева в разрядах Л-2М, где отсутствуют надтепловые электроны, искажающие функцию распределения и препятствующие надежным измерениям температуры. Получена зависимость эффективности ЭЦР-нагрева от плотности плазмы, описывающая эксперименты на стеллараторах Л-2М и TJ-II и токамаке Т-10. Рассчитаны энергетические характеристики (запас энергии и энергетическое время жизни) для разрядов Л-2М. Сделаны прогнозы ЭЦР-нагрева в токамаке Т-15МД. Обсуждаются особенности решения некорректной транспортной задачи для Л-2М.</p></trans-abstract><kwd-group xml:lang="en"><kwd>stellarator</kwd><kwd>tokamak</kwd><kwd>electron cyclotron resonance heating (ECRH)</kwd><kwd>canonical profile transport model</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>стелларатор</kwd><kwd>токамак</kwd><kwd>электронно-циклотронный нагрев</kwd><kwd>перенос энергии</kwd><kwd>транспортная модель канонических профилей</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Dnestrovskij Yu.N., Connor J.W., Cherkasov S.V., Danilov A.V., Dnestrovskij A.Yu., Lysenko S.E., Roach C.M., Walsh M. // Plasma Phys. Control. Fusion. 2007. V. 49. P. 1477. Doi: 10.1088/0741-3335/49/9/009</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Днестровский Ю.Н. Самоорганизация горячей плазмы. 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