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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 pub-id-type="doi">10.17586/2220-8054-2017-8-1-108-120</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-796</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>Equilibrium properties of 3-arm star-shaped polyions: an entropic sampling Monte Carlo study</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>Silanteva</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Universitetskaya nab., 7/9, St. Petersburg, 199034</p></bio><email xlink:type="simple">i.silanteva@spbu.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>Yurchenko</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Universitetskaya nab., 7/9, St. Petersburg, 199034</p></bio><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. N.</given-names></name></name-alternatives><bio xml:lang="en"><p>Universitetskaya nab., 7/9, St. Petersburg, 199034</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Lyubartsev</surname><given-names>A. P.</given-names></name></name-alternatives><bio xml:lang="en"><p> Svante Arrhenius vag 16, Stockholm, 10691</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>St. Petersburg State University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Stockholm University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>1</issue><fpage>108</fpage><lpage>120</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Silanteva I.A., Yurchenko A.A., Vorontsov-Velyaminov P.N., Lyubartsev A.P., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Silanteva I.A., Yurchenko A.A., Vorontsov-Velyaminov P.N., Lyubartsev A.P.</copyright-holder><copyright-holder xml:lang="en">Silanteva I.A., Yurchenko A.A., Vorontsov-Velyaminov P.N., Lyubartsev A.P.</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://nanojournal.ifmo.ru/jour/article/view/796">https://nanojournal.ifmo.ru/jour/article/view/796</self-uri><abstract><p>The entropic sampling Monte Carlo method within Wang-Landau algorithm is applied to investigate properties of a lattice model of strongly charged flexible 3-arm star-shaped polyelectrolyte. The density of states is calculated, from which the canonical properties of the system in a wide temperature range are obtained by simple integration. The effects of the arm length and the short-range monomer-monomer potential on the thermal and structural properties of star polyions are studied. We calculate such characteristics as mean square radius of gyration and its components, the radius vector of the center of mass, components of the tensor of inertia and parameters characterizing the shape of the polyion. In this work, we focus on how these characteristics are influenced by the change of the reduced temperature which, within the considered model, is a parameter combining the effect of real temperature, linear charge density and solvent dielectric permittivity. The coil-globule transition is observed in most of the considered cases, and for the polyions with the longest length of arms (24), the transition from a liquid globule to a solid-like state is observed. Comparison of polyelectrolyte models with neutral ones is given.</p></abstract><kwd-group xml:lang="en"><kwd>star-shaped polymer</kwd><kwd>polyelectrolytes</kwd><kwd>lattice model</kwd><kwd>entropic sampling</kwd><kwd>Monte Carlo method</kwd><kwd>phase transition</kwd><kwd>solvent quality</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is supported by the St. Petersburg State University, the project numbers 11.37.290.2015,  11.57.673.2014, 11.57.159.2016.</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">Alhoranta A.M., Lehtinen J.K., Urtti A.O., Butcher S.J., Aseyev V.O., Tenhu H.J. Cationic amphiphilic star and linear block copolymers: synthesis, self-assembly, and in vitro gene transfection. 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