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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">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51127</article-id><article-id pub-id-type="edn">JWJLQR</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Physics and Astronomy</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Физика</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">Dynamic Pressure and its Fluctuations for the Ideal Gas of Relativistic Particles</article-title><trans-title-group xml:lang="ru"><trans-title>Динамическое давление и его флуктуации для классического идеального газа релятивистских частиц</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Rudoy</surname><given-names>Yu. G.</given-names></name><name xml:lang="ru"><surname>Рудой</surname><given-names>Ю. Г.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Keita</surname><given-names>I.</given-names></name><name xml:lang="ru"><surname>Кейта</surname><given-names>И.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Center of Scientific Education of PFUR</institution></aff><aff><institution xml:lang="ru">Центр естественно-научного образования РУДН</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Peoples' Friendship University of Russia</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2007-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2007</year></pub-date><issue>1-2</issue><issue-title xml:lang="en">NO12 (2007)</issue-title><issue-title xml:lang="ru">№12 (2007)</issue-title><fpage>84</fpage><lpage>93</lpage><history><date date-type="received" iso-8601-date="2026-07-08"><day>08</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2007, Rudoy Y.G., Keita I.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2007, Рудой Ю.Г., Кейта И.</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="en">Rudoy Y.G., Keita I.</copyright-holder><copyright-holder xml:lang="ru">Рудой Ю.Г., Кейта И.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/51127">https://journals.rudn.ru/miph/article/view/51127</self-uri><abstract xml:lang="en">The analysis of the dynamical quantities, i.e. the pressure and compressibillity for the ideal gas of classical particles with the relativistic dispersion law is given. The analysis is based on the generalized Bogoliubov--Zubarev theorem for the quasi-dynamical quantities. It is shown that the account of the relativistic corrections in the both regions of small and large moments may be realized by means of the effective uniformity index</abstract><trans-abstract xml:lang="ru">Дан анализ динамических величин "--- давления и сжимаемости идеального газа классических частиц с релятивистким законом дисперсии. Анализ основан на обобщенной теореме Боголюбова--Зубарева для квазидинамических величин. Показано, что учет релятивистких поправок как в области малых, так и больших импульсов может быть реализован посредством эффективного показателя однородности.</trans-abstract></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Гиббс Д. В. Основные принципы статистической механики. - М.: Наука, 1982.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Терлецкий Я. П. 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