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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">10.17586/2220-8054-2020-11-2-171-175</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-440</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>Shannon entropy associated with electrochemically generated ion concentration gradients</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>Ryzhkov</surname><given-names>N. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>9, St. Petersburg, 191002</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>Yurova</surname><given-names>V. Yu.</given-names></name></name-alternatives><bio xml:lang="en"><p>9, St. Petersburg, 191002</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>Skorb</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>9, St. Petersburg, 191002</p></bio><email xlink:type="simple">skorb@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>30</day><month>07</month><year>2025</year></pub-date><volume>11</volume><issue>2</issue><elocation-id>171–175</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Ryzhkov N.V., Yurova V.Y., Skorb E.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ryzhkov N.V., Yurova V.Y., Skorb E.V.</copyright-holder><copyright-holder xml:lang="en">Ryzhkov N.V., Yurova V.Y., Skorb E.V.</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/440">https://nanojournal.ifmo.ru/jour/article/view/440</self-uri><abstract><p>In this work, we discuss Shannon entropy in relation to ion distribution in solutions. Shannon entropy is a key concept of information theory. Discussion of ion solutions informational entropy is essential for consideration of ions as information carriers in iontronic devices. We studied entropy associated with ions redistribution using model electrochemically triggered local ion fluxes. For this purpose, we utilized bare gold electrodes as well as covered by polyelectrolyte layers and lipids. Modification of the electrode surface leads to a change of ion flux triggered by hydroquinone oxidation. Consequently, various distribution of ions in solution can be obtained. Shannon entropy was evaluated for diverse ion distributions.</p></abstract><kwd-group xml:lang="en"><kwd>Shannon entropy</kwd><kwd>proton fluxes</kwd><kwd>layer by layer assemblies</kwd><kwd>electrochemistry</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is supported by RSF Grant No. 17-79-20186. EVS also thanks the ITMO Fellowship Professorship Program for Infrastructural Support. The authors thank Prof. Stanislav O. Yurchenko (BMSTU, Moscow) for the discussion of entropy analysis.</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">Fomina N., Johnson C.A., et al. An electrochemical platform for localized pH control on demand. Lab Chip., 2016, 16, P. 2236–2244.</mixed-citation><mixed-citation xml:lang="en">Fomina N., Johnson C.A., et al. An electrochemical platform for localized pH control on demand. Lab Chip., 2016, 16, P. 2236–2244.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Garnier T., Dochter A., et al. Surface confined self-assembly of polyampholytes generated from charge-shifting polymers. Chem. 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