<?xml version="1.0"?>
<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<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" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Herald of Technological University</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Herald of Technological University</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>ВЕСТНИК ТЕХНОЛОГИЧЕСКОГО УНИВЕРСИТЕТА</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">3034-4689</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">60215</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>СТРУКТУРА ВЕЩЕСТВА И ТЕОРИЯ ХИМИЧЕСКИХ ПРОЦЕССОВ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject></subject>
    </subj-group>
    <subj-group>
     <subject>СТРУКТУРА ВЕЩЕСТВА И ТЕОРИЯ ХИМИЧЕСКИХ ПРОЦЕССОВ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">МОДЕЛИРОВАНИЕ ЗАМЫКАНИЯ АНАЛИТИЧЕСКОЙ ТЕРМОДИНАМИКИ</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>МОДЕЛИРОВАНИЕ ЗАМЫКАНИЯ АНАЛИТИЧЕСКОЙ ТЕРМОДИНАМИКИ</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Дьяконов</surname>
       <given-names>Г С</given-names>
      </name>
      <name xml:lang="en">
       <surname>Дьяконов</surname>
       <given-names>Г С</given-names>
      </name>
     </name-alternatives>
     <email>office@kstu.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Динмухаметова</surname>
       <given-names>Р А</given-names>
      </name>
      <name xml:lang="en">
       <surname>Динмухаметова</surname>
       <given-names>Р А</given-names>
      </name>
     </name-alternatives>
     <email>rezdin29@gmail.com</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Казанцев</surname>
       <given-names>С А</given-names>
      </name>
      <name xml:lang="en">
       <surname>Казанцев</surname>
       <given-names>С А</given-names>
      </name>
     </name-alternatives>
     <email>sakazancev18@yandex.ru</email>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Клинов</surname>
       <given-names>А В</given-names>
      </name>
      <name xml:lang="en">
       <surname>Клинов</surname>
       <given-names>А В</given-names>
      </name>
     </name-alternatives>
     <email>alklin@kstu.ru</email>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Дьяконов</surname>
       <given-names>С Г</given-names>
      </name>
      <name xml:lang="en">
       <surname>Дьяконов</surname>
       <given-names>С Г</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">АН РТ; КНИТУ</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">АН РТ; КНИТУ</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">КНИТУ</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">КНИТУ</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">КНИТУ</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">КНИТУ</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">КНИТУ</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">КНИТУ</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">АН РТ; КНИТУ</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">АН РТ; КНИТУ</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-08-01T12:57:45+03:00">
    <day>01</day>
    <month>08</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-08-01T12:57:45+03:00">
    <day>01</day>
    <month>08</month>
    <year>2025</year>
   </pub-date>
   <volume>16</volume>
   <issue>4</issue>
   <fpage>26</fpage>
   <lpage>30</lpage>
   <history>
    <date date-type="received" iso-8601-date="2023-04-19T15:41:07+03:00">
     <day>19</day>
     <month>04</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://vestniktu.ru/en/nauka/article/60215/view">https://vestniktu.ru/en/nauka/article/60215/view</self-uri>
   <abstract xml:lang="ru">
    <p>Предлагается пять моделей замыкания уравнений термодинамики для получения уравнения состояния вещества. Проведены расчеты для различных точек фазовой диаграммы и их сравнение с результатами численных экспериментов для молекул с потенциалом Леннард-Джонса .</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>We propose five methods for closing the equations of thermodynamics and obtaining the equation of state. Calculations are performed for different points of the phase diagram in comparison with the results of numerical experiments for molecules with Lennard-Jones potential .</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>термодинамика</kwd>
    <kwd>уравнение состояния</kwd>
    <kwd>потенциал Леннард-Джонса</kwd>
    <kwd>thermodynamics</kwd>
    <kwd>the equation of state</kwd>
    <kwd>potential of the Lennard-Jones</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>термодинамика</kwd>
    <kwd>уравнение состояния</kwd>
    <kwd>потенциал Леннард-Джонса</kwd>
    <kwd>thermodynamics</kwd>
    <kwd>the equation of state</kwd>
    <kwd>potential of the Lennard-Jones</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">J. Johnson, J. Zollweg, K. Gubbins, Mol. Phys., 78, 3, 591-618 (1993);</mixed-citation>
     <mixed-citation xml:lang="en">J. Johnson, J. Zollweg, K. Gubbins, Mol. Phys., 78, 3, 591-618 (1993);</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">М. Ф. Сарры, Журнал технической физики, 68, 10, 1-9 (1998)</mixed-citation>
     <mixed-citation xml:lang="en">M. F. Sarry, Zhurnal tehnicheskoy fiziki, 68, 10, 1-9 (1998)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">А.В. Клинов, С.А.Казанцев., Г.С. Дьяконов Г.С. Дьяконов С.Г., Вест. Казан. технол. ун-та, 12, 1, 10-16 (2010);</mixed-citation>
     <mixed-citation xml:lang="en">A.V. Klinov, S.A.Kazancev., G.S. D'yakonov G.S. D'yakonov S.G., Vest. Kazan. tehnol. un-ta, 12, 1, 10-16 (2010);</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Э. Камке, Справочник по дифференциальным уравнениям в частных производных первого порядка. Наука, Москва,1966. 200c;</mixed-citation>
     <mixed-citation xml:lang="en">E. Kamke, Spravochnik po differencial'nym uravneniyam v chastnyh proizvodnyh pervogo poryadka. Nauka, Moskva,1966. 200c;</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">E.M. Holleran, J.Phys.Chem.Physics, 47, 12, 5318 (1967);</mixed-citation>
     <mixed-citation xml:lang="en">E.M. Holleran, J.Phys.Chem.Physics, 47, 12, 5318 (1967);</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">С.А. Казанцев, А.В. Клинов, Г.С. Дьяконов, С.Г Дьяконов, Вест. Казан. технол. ун-та, 12, 1, 17-21 (2010).</mixed-citation>
     <mixed-citation xml:lang="en">S.A. Kazancev, A.V. Klinov, G.S. D'yakonov, S.G D'yakonov, Vest. Kazan. tehnol. un-ta, 12, 1, 17-21 (2010).</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
