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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">10.17586/2220-8054-2017-8-2-277-281</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-676</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>Two eccentric cylinders in a uniform electric field</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>Starkov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">starkovalexandr@corp.ifmo.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>Korzenkov</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">korund607@yandex.com</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>Starkov</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">ferroelectrics@ya.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>2017</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>2</issue><fpage>277</fpage><lpage>281</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Starkov A.S., Korzenkov K.V., Starkov K.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Starkov A.S., Korzenkov K.V., Starkov K.A.</copyright-holder><copyright-holder xml:lang="en">Starkov A.S., Korzenkov K.V., Starkov K.A.</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/676">https://nanojournal.ifmo.ru/jour/article/view/676</self-uri><abstract><p>The present study examines the electric field distribution in the structure made of two eccentric dielectric cylinders. In oder to find the potential of electric field, we employ a bipolar coordinate system. The obtained results allow one to quantify the impact of the eccentricity on effective characteristics of a periodic set of eccentric cylinders. Special attention is paid to the analysis of the structure polarizability.</p></abstract><kwd-group xml:lang="en"><kwd>Eccentric cylinders</kwd><kwd>polarizability</kwd><kwd>Maxwell-Garnett approximation</kwd><kwd>effective dielectric constant</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The research leading to the results exposed has received funding from the Government of Russian Federation, Grant 074-U01.</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">Lagarkov A. N., Matytsin S. M., Rozanov K. N., Sarychev A. K. Dielectric properties of fiber-filled composites. J. Appl. Phys, 1998, 84(7), P. 3806–3814.</mixed-citation><mixed-citation xml:lang="en">Lagarkov A. N., Matytsin S. M., Rozanov K. N., Sarychev A. K. Dielectric properties of fiber-filled composites. J. Appl. Phys, 1998, 84(7), P. 3806–3814.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Dang Z. M., Yuan J. K., Zha J. W., Zhou T., Li S. T., Hu G. H. Fundamentals, processes and applications of high-permittivity polymer-matrix composites. Progress in Materials Science, 2012, 57(4), P. 660–723.</mixed-citation><mixed-citation xml:lang="en">Dang Z. M., Yuan J. K., Zha J. W., Zhou T., Li S. T., Hu G. H. Fundamentals, processes and applications of high-permittivity polymer-matrix composites. Progress in Materials Science, 2012, 57(4), P. 660–723.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Alekseev A. V., Predtechenskiy M. R. Aluminum foil reinforced by carbon nanotubes. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(1), P. 185–189.</mixed-citation><mixed-citation xml:lang="en">Alekseev A. V., Predtechenskiy M. R. Aluminum foil reinforced by carbon nanotubes. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(1), P. 185–189.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Khodke M. R., Joshi S. V. An investigative study on application of carbon nanotubes for strain sensing. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(4), P. 755–758.</mixed-citation><mixed-citation xml:lang="en">Khodke M. R., Joshi S. V. An investigative study on application of carbon nanotubes for strain sensing. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(4), P. 755–758.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Garnett J. C. M. Colours in metal glasses, in metallic films, and in metallic solutions. II Philosophical Transactions of the Royal Society of London, Series A, 1906, 203, P. 237–288.</mixed-citation><mixed-citation xml:lang="en">Garnett J. C. M. Colours in metal glasses, in metallic films, and in metallic solutions. II Philosophical Transactions of the Royal Society of London, Series A, 1906, 203, P. 237–288.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Rayleigh L. LVI. On the influence of obstacles arranged in rectangular order upon the properties of a medium. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1892, 34(211), P. 481–502.</mixed-citation><mixed-citation xml:lang="en">Rayleigh L. LVI. On the influence of obstacles arranged in rectangular order upon the properties of a medium. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1892, 34(211), P. 481–502.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang H., Shen Y., Xu Y., Zhu H., Lei M., Zhang X., Xu M. Effective medium theory for two-dimensional random media composed of core-shell cylinders, Opt. Comm., 2013, 306, P. 9-16.</mixed-citation><mixed-citation xml:lang="en">Zhang H., Shen Y., Xu Y., Zhu H., Lei M., Zhang X., Xu M. Effective medium theory for two-dimensional random media composed of core-shell cylinders, Opt. Comm., 2013, 306, P. 9-16.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Starkov I. A., Starkov A. S. Effective parameters of nanomatryoshkas. Journal of Nanophotonics, 2016, 10(3), P. 033503–033503.</mixed-citation><mixed-citation xml:lang="en">Starkov I. A., Starkov A. S. Effective parameters of nanomatryoshkas. Journal of Nanophotonics, 2016, 10(3), P. 033503–033503.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Grinberg G. A., Selected Topics in the Mathematical Theory of Electrical and Magnetical Phenomena. Acad. of Sci. USSR, Leningrad, 1948, 733 pp.</mixed-citation><mixed-citation xml:lang="en">Grinberg G. A., Selected Topics in the Mathematical Theory of Electrical and Magnetical Phenomena. Acad. of Sci. USSR, Leningrad, 1948, 733 pp.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Chaumet P. C., Dufour J. P. Electric potential and field between two different spheres. Journal of electrostatics, 1998, 43(2), P. 145–159.</mixed-citation><mixed-citation xml:lang="en">Chaumet P. C., Dufour J. P. Electric potential and field between two different spheres. Journal of electrostatics, 1998, 43(2), P. 145–159.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Balagurov B. Y. On the polarizability of a pair of cylinders in a transverse electric field. Technical Physics, 2003, 48(8), P. 945–951.</mixed-citation><mixed-citation xml:lang="en">Balagurov B. Y. On the polarizability of a pair of cylinders in a transverse electric field. Technical Physics, 2003, 48(8), P. 945–951.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Lebedev N. N., Skalskaya I. P., Uflyand Y. S. Worked Problems in Applied Mathematics. Dover, New York, 2010, 420 pp.</mixed-citation><mixed-citation xml:lang="en">Lebedev N. N., Skalskaya I. P., Uflyand Y. S. Worked Problems in Applied Mathematics. Dover, New York, 2010, 420 pp.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Kiselev A. D., Plutenko D. O. Light scattering of Laguerre-Gaussian beams: near-field structures and symmetries. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(2), P. 349–370.</mixed-citation><mixed-citation xml:lang="en">Kiselev A. D., Plutenko D. O. Light scattering of Laguerre-Gaussian beams: near-field structures and symmetries. Nanosystems: Physics, Chemistry, Mathematics, 2016, 7(2), P. 349–370.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Bunge R. P., Bunge M. B., Bates M. Movements of the Schwann cell nucleus implicate progression of the inner (axon-related) Schwann cell process during myelination. The Journal of Cell Biology, 1989, 109(1), P. 273–284.</mixed-citation><mixed-citation xml:lang="en">Bunge R. P., Bunge M. B., Bates M. Movements of the Schwann cell nucleus implicate progression of the inner (axon-related) Schwann cell process during myelination. The Journal of Cell Biology, 1989, 109(1), P. 273–284.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Xiao J., Xu Y., Zhang F. A generalized self-consistent method for nano composites accounting for fiber section shape under antiplane shear. Mechanics of Materials, 2015, 81, P. 8194–8200.</mixed-citation><mixed-citation xml:lang="en">Xiao J., Xu Y., Zhang F. A generalized self-consistent method for nano composites accounting for fiber section shape under antiplane shear. Mechanics of Materials, 2015, 81, P. 8194–8200.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
