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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">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">najo-1345</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Stepwise conformation transitions for a semi-stiff ring polymer confined in a conical trap induced by the increasing external field or by cone's opening angle variation</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>Siretskiy</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Dept. of Informational Technology, SE-751 05, Uppsala</p></bio><email xlink:type="simple">alexey.siretskiy@it.uu.se</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>Elvingson</surname><given-names>C.</given-names></name></name-alternatives><bio xml:lang="en"><p>Dept. of Chemistry, Physical Chemistry P.O. Box 523, SE-751 20, Uppsala</p></bio><email xlink:type="simple">christer.elvingson@kemi.uu.se</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>Vorontsov-Velyaminov</surname><given-names>P.</given-names></name></name-alternatives><bio xml:lang="en"><p>Dept. of Molecular Biophysical, Physical Faculty, 198504, Saint-Petersburg</p></bio><email xlink:type="simple">voron.wgroup@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">Uppsala University<country>Sweden</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="en">Saint Petersburg University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>22</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>2</issue><fpage>225</fpage><lpage>235</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Siretskiy A., Elvingson C., Vorontsov-Velyaminov P., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Siretskiy A., Elvingson C., Vorontsov-Velyaminov P.</copyright-holder><copyright-holder xml:lang="en">Siretskiy A., Elvingson C., Vorontsov-Velyaminov P.</copyright-holder><license 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://nanojournal.ifmo.ru/jour/article/view/1345">https://nanojournal.ifmo.ru/jour/article/view/1345</self-uri><abstract><p>In this paper a stepwise compaction process of a ring semi-stiff polymer chain placed in a 3d conical nano-cavity and being under the action of the increasing external field is studied. Compaction from a circle like shape to several toroidal-like loops for a three-dimensional system was observed. The thermodynamic stability of these toroidal-like structures was investigated by observing a hysteresis of the compaction extension curves. This study extends our previous work [<xref ref-type="bibr" rid="cit1">1</xref>] with investigation of the effect of the cone opening angle variation on the distinct shape transitions.</p></abstract><kwd-group xml:lang="en"><kwd>semi-stiff ring polymers</kwd><kwd>Monte Carlo</kwd><kwd>compact structures</kwd><kwd>shape transitions</kwd><kwd>confinement</kwd><kwd>nanocone</kwd></kwd-group><funding-group xml:lang="en"><funding-statement>The authors thank John Grime for his visualisation tool, jgrime@uchicago.edu.</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">Siretskiy A., Elvingson C. 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