Herald of Technological University Herald of Technological University ВЕСТНИК ТЕХНОЛОГИЧЕСКОГО УНИВЕРСИТЕТА 3034-4689 61247 СТРУКТУРА ВЕЩЕСТВА И ТЕОРИЯ ХИМИЧЕСКИХ ПРОЦЕССОВ СТРУКТУРА ВЕЩЕСТВА И ТЕОРИЯ ХИМИЧЕСКИХ ПРОЦЕССОВ THE FRACTAL KINETICS OF POLYMERIZATION CATALYZED BY NANOFILLERS Kozlov G V Kozlov G V Zaikov G E Zaikov G E ov_stoyanov@mail.ru Klodzinska E Klodzinska E Jozef Richert Jozef Richert Kabardino-Balkarian State University ru Kabardino-Balkarian State University ru Kazan National Research Technological University ru Kazan National Research Technological University ru Institute for Ingineering of Polymer Materials and Dyes, Poland, Torun ru Institute for Ingineering of Polymer Materials and Dyes, Poland, Torun ru Institute for Ingineering of Polymer Materials and Dyes, Poland, Torun ru Institute for Ingineering of Polymer Materials and Dyes, Poland, Torun ru 01 08 2025 01 08 2025 16 15 13 17 19 04 2023 https://vestniktu.ru/en/nauka/article/61247/view

Выполнен фрактальный анализ кинетики полимеризации в присутствии нанонаполнителя. Показано влияние структурных особенностей катализатора на ход химической реакции. Понятие странной (аномальной) диффузии использовано для описания реакций полимеризации.

The fractal analysis of polymerization kinetics in nanofiller presence was performed. The influence of catalyst structural features on chemical reaction course was shown. The notions of strange (anomalous) diffusion conception was applied for polymerization reactions description.

 polymerization kinetics catalyst nanofiller fractal analysis strange diffusion полимеризация кинетика катализатор нанонаполнитель фрактальный анализ аномальная диффузия polymerization kinetics catalyst nanofiller fractal analysis strange diffusion полимеризация кинетика катализатор нанонаполнитель фрактальный анализ аномальная диффузия

Vasnev V.A., Naphadzokovz L.Kh., Tarasov A.I., Vinogradova S.V., Lependina O.L. Vysokomol. Soedin., 2000, vol. 42A(12), pp. 2065-2071. (Rus.). Vasnev V.A., Naphadzokovz L.Kh., Tarasov A.I., Vinogradova S.V., Lependina O.L. Vysokomol. Soedin., 2000, vol. 42A(12), pp. 2065-2071. (Rus.). Tyan H.-L., Liu Y.-C., Wei K.-H. Polymer, 1999, vol. 40(11), pp. 4877-4886. Tyan H.-L., Liu Y.-C., Wei K.-H. Polymer, 1999, vol. 40(11), pp. 4877-4886. Meakin P., Stanley H.E. J. Phys. A, 1984, vol. 17(1), pp. L173-L177. Meakin P., Stanley H.E. J. Phys. A, 1984, vol. 17(1), pp. L173-L177. Kozlov G.V., Shustov G.B. In book: Achievements in Polymer Physics-Chemistry Field. Ed. Zaikov G. a.a. Moscow, Khimiya, 2004, pp. 341-411. (Rus.). Kozlov G.V., Shustov G.B. In book: Achievements in Polymer Physics-Chemistry Field. Ed. Zaikov G. a.a. Moscow, Khimiya, 2004, pp. 341-411. (Rus.). Baranov V.G., Frenkel S.Ya., Brestkin Yu.V. Doklady AN SSSR, 1986, vol. 290(2), pp. 369-372. (Rus.). Baranov V.G., Frenkel S.Ya., Brestkin Yu.V. Doklady AN SSSR, 1986, vol. 290(2), pp. 369-372. (Rus.). Vilgis T.A. Physica A, 1988, vol. 153(2), pp. 341-354. Vilgis T.A. Physica A, 1988, vol. 153(2), pp. 341-354. Rammal R., Toulouse G. J. Phys. Lett. (Paris), 1983, vol. 44(1), pp. L13-L22. Rammal R., Toulouse G. J. Phys. Lett. (Paris), 1983, vol. 44(1), pp. L13-L22. Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. Teoreticheskie Osnovy Khimicheskoi Technologii, 2007, vol. 41(4), pp. 415-419 (Rus.). Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. Teoreticheskie Osnovy Khimicheskoi Technologii, 2007, vol. 41(4), pp. 415-419 (Rus.). Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. J. Appl. Polymer Sci., 2007, vol. 105 (in press). Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. J. Appl. Polymer Sci., 2007, vol. 105 (in press). Kopelman R. In book: Fractals in Physics. Ed. Pietronero L., Tosatti E. Amsterdam, Oxford, New York, Tokyo, North-Holland, 1986, pp. 524-527. Kopelman R. In book: Fractals in Physics. Ed. Pietronero L., Tosatti E. Amsterdam, Oxford, New York, Tokyo, North-Holland, 1986, pp. 524-527. Berstein V.A., Egorov V.M. Differential Scanning Calorimetry in Polymers Physics-Chemistry. Leningrad, Khimiya, 1990, 256 p. (Rus.). Berstein V.A., Egorov V.M. Differential Scanning Calorimetry in Polymers Physics-Chemistry. Leningrad, Khimiya, 1990, 256 p. (Rus.). Kozlov G.V., Novikov V.U. Uspekhi Fizichesk. Nauk, 2001, vol. 171(7), pp. 717-764. (Rus.). Kozlov G.V., Novikov V.U. Uspekhi Fizichesk. Nauk, 2001, vol. 171(7), pp. 717-764. (Rus.). Kozlov G.V., Zaikov G.E. Structure of the Polymer Amorphous State. Leiden-Boston, Brill Academic Publishers, 2004, 465 p. Kozlov G.V., Zaikov G.E. Structure of the Polymer Amorphous State. Leiden-Boston, Brill Academic Publishers, 2004, 465 p. Kozlov G.V., Dolbin I.V., Zaikov G.E. J. Appl. Polymer Sci., 2004, vol. 94(4), pp. 1353-1356. Kozlov G.V., Dolbin I.V., Zaikov G.E. J. Appl. Polymer Sci., 2004, vol. 94(4), pp. 1353-1356. Barns F.S. Biofizika, 1996, vol. 41(4), pp. 790-802. (Rus.). Barns F.S. Biofizika, 1996, vol. 41(4), pp. 790-802. (Rus.). Sahimi M., McKarnin M., Nordahl T., Tirrell M. Phys. Rev. A, 1985, vol. 32(1), pp. 590-595. Sahimi M., McKarnin M., Nordahl T., Tirrell M. Phys. Rev. A, 1985, vol. 32(1), pp. 590-595. 1Naphadzokovz L.Kh., Malamatov A.Kh., Kozlov G.V. In coll.: The Scientific Proceedings of Young Scientists. Nal’chik, KBSU, 2006, pp. 305-307. (Rus.). 1Naphadzokovz L.Kh., Malamatov A.Kh., Kozlov G.V. In coll.: The Scientific Proceedings of Young Scientists. Nal’chik, KBSU, 2006, pp. 305-307. (Rus.). 1Novikov V.U., Kozlov G.V. Uspekhi Khimii, 2000, vol. 64(4), pp. 378-399. (Rus.). 1Novikov V.U., Kozlov G.V. Uspekhi Khimii, 2000, vol. 64(4), pp. 378-399. (Rus.). Budtov V.P. Physical Chemistry of Polymer Solutions. Sankt-Peterburg, Khimiya, 1992,384 p. (Rus.). Budtov V.P. Physical Chemistry of Polymer Solutions. Sankt-Peterburg, Khimiya, 1992,384 p. (Rus.). Temiraev K.B., Kozlov G.V., Sozaev V.A. Vestnik KBSU, Fizicheskie Nauki, 1988, No. 3, pp. 24-28. (Rus.). Temiraev K.B., Kozlov G.V., Sozaev V.A. Vestnik KBSU, Fizicheskie Nauki, 1988, No. 3, pp. 24-28. (Rus.). Lipatov Yu.S. Interfacial Phenomena in Polymers. Kiev, Naukova Dumka, 1980, 260 p. (Rus.). Lipatov Yu.S. Interfacial Phenomena in Polymers. Kiev, Naukova Dumka, 1980, 260 p. (Rus.). Pfeifer P. In book: Fractals in Physics. Ed. Pietronero L., Tosatti E. Amsterdam, Oxford, New York, Tokyo, North-Holland, 1986, pp. 72-81. Pfeifer P. In book: Fractals in Physics. Ed. Pietronero L., Tosatti E. Amsterdam, Oxford, New York, Tokyo, North-Holland, 1986, pp. 72-81. Kozlov G.V., Zaikov G.E., Lipatov Yu.S. Doklady NAN Ukraine, 2002, No. 8, pp. 130-135. (Rus.). Kozlov G.V., Zaikov G.E., Lipatov Yu.S. Doklady NAN Ukraine, 2002, No. 8, pp. 130-135. (Rus.). Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. Plast. Massy, 2008, (in press) (rus.). Naphadzokovz L.Kh., Kozlov G.V., Zaikov G.E. Plast. Massy, 2008, (in press) (rus.).