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Нелинейные эффекты в макроскопической кинетике

Макроскопическая кинетика описывает релаксацию на языке макросостояний — распределений плотности, температуры и др. величин. Рассмотрены системы двух типов: 1) замкнутые (или взаимодействующие только с термостатом); 2) проточные, в которых неравновесное состояние поддерживается внешним воздействием (питание, накачка). В обоих случаях наблюдается установление режимов, не зависящих (в определенном диапазоне) от начальных условий,- аттракторов. Для проточных систем рассмотрены режимы, однородные в пространстве (кинетические фазы), и переходы между ними — аналог движения межфазных границ. Для систем первого типа установлению равновесия может предшествовать формирование других аттракторов в виде промежуточной асимптотики. Проведено сравнение сходных режимов в различных процессах — химических реакциях, вязких течениях, поглощении света и др. Обсуждаются условия устойчивости. Ил. 20. Библиогр. ссылок 173.

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PACS: 47.35.Fg, 47.70.Pq, 82.33.Vx, 47.20.−k (все)
DOI: 10.3367/UFNr.0151.198704a.0553
URL: https://ufn.ru/ru/articles/1987/4/a/
Цитата: Мержанов А Г, Руманов Э Н "Нелинейные эффекты в макроскопической кинетике" УФН 151 553–593 (1987)
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English citation: Merzhanov A G, Rumanov É N “Nonlinear effects in macroscopic kineticsSov. Phys. Usp. 30 293–316 (1987); DOI: 10.1070/PU1987v030n04ABEH002831

Список литературы (173) ↓ Статьи, ссылающиеся на эту (41) Похожие статьи (20)

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  132. Yu. M. Maksimov, A. G. Merzhanov, A. T. Pak, and M. N. Kuchin ibid 17 (No. 4) 51 (1981)
  133. V. A. Vol'pert, A. I. Vol'pert, and A. G. Merzhanov Dokl. Akad. Nauk SSSR 263 918 (1982); V. A. Vol'pert, A. I. Vol'pert, and A. G. Merzhanov Dokl. Phys. Chem. 263 (1982)
  134. V. A. Vol'pert ""Bifurcation of nonstationary wave propagation states" (in Russian)" Preprint OIKhF AN SSSR (1982), Chernogolovka
  135. V. A. Vol'pert, A. V. Dvoryankin, and A. G. Strunina Fiz. Gor. Vzryva 19 (No. 4) 10 (1983)
  136. A. G. Merzhanov, A. V. Dvoryankin, and A. G. Strunina Dokl. Akad. Nauk SSSR 267 869 (1982); A. G. Merzhanov, A. V. Dvoryankin, and A. G. Strunina Dokl. Phys. Chem. 267 (1982)
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  138. E. Schrodinger What is Life? The Physical Aspect of the Living Cell (Cambridge University Press, 1967), [Russ. transl. of earlier ed., IL, M.,1947]
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  140. A. G. Merzhanov and A. K. Filonenko Dokl. Akad. Nauk SSSR 152 143 (1963); A. G. Merzhanov and A. K. Filonenko Dokl. Phys. Chem. 152 769 (1963)
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  142. M. B. Borovnikov, M. A. Burovo&ibreve; U. I. Gol'dshleger, and A. G. Merzhanov Dokl. Akad. Nauk SSSR 272 327 (1983); M. B. Borovnikov, M. A. Burovo&ibreve; Sov. Phys. Dokl. 28 758 (1983)
  143. E. A. Nekrasov and A. M. Timokhina Fiz. Gor. Vzryva 20 (No. 4) 21 (1984)
  144. A. A. Zenin and G. A. Nerisyan ""Thermal structure of an SVS wave in Ti-Si and Zr-Si systems" (in Russian)" Preprint OIKhF AN SSSR (1980), Chernogolovka
  145. A. P. Aldushin, A. G. Merzhanov, and B. I. Kharkin Dokl. Akad. Nauk SSSR 204 1139 (1972); A. P. Aldushin, A. G. Merzhanov, and B. I. Kharkin Dokl. Phys. Chem. 204 475 (1972)
  146. A. F. Belyaev Zh. Fiz. Khim. 14 1009 (1940)
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  149. O.B. Yakusheva, E. I. Maksimov, and A. G. Merzhanov Fiz. Gor. Vzryva 3 (No. 3) 125 (1966)
  150. E. N. Rumanov and B. I. Khaikin ibid 18 (No.6) 24 (1982)
  151. S. I. Anisimov, M. I. Tribel'skii, and Ya. G. Épel'baum Zh. Eksp. Teor. Fiz. 78 159 (1980); S. I. Anisimov, M. I. Tribel'skii, and Ya. G. Épel'baum Sov. Phys. JETP 51 802 (1980)
  152. A. G. Merzhanov, I. P. Borovinskaya, and Yu. E. Volodin Dokl. Akad. Nauk SSSR 206 905 (1972); A. G. Merzhanov, I. P. Borovinskaya, and Yu. E. Volodin Dokl. Phys. Chem. 206 905 (1972)
  153. A. P. Aldushin, A. G. Merzhanov, and B. I. Khaikin ibid 215 612 (1974); A. P. Aldushin, A. G. Merzhanov, and B. I. Khaikin Dokl. Phys. Chem. 215 295 (1974)
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  156. A. M. Bonch-Bruevich and M. N. Libenson Abstracts of Papers Presented at the Second Ail-Union Symposium on LaserChemistry (in Russian) (Zvenigorod, 1980) p. 71
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  158. J. Taffanael C. R. Bull. Chim. Soc. 157 714 (1913), 158, 42
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  160. Ya. B. Zel'dovich and Yu. A. Zysin Zh. Tekh. Fiz. 11 501 (1941)
  161. V. G. Abramov and A. G. Merzhanov Teor. Osnovy Khim. Tekhnol. _ 863 (1975)
  162. V. V. Barelko, V. M. Beibutyan, Yu. E. Volodin, and Ya. B. Zel'dovich Dokl. Akad. Nauk SSSR 257 339 (1981); V. V. Barelko, V. M. Beibutyan, Yu. E. Volodin, and Ya. B. Zel'dovich Sov. Phys. Dokl. 26 335 (1981)
  163. A. P. Aldushin, V. D. Lugovo&ibreve;, A. G. Merzhanov, and B. I. Kha&ibreve;kin ibid 243 1434 (1978); A. P. Aldushin, V. D. Lugovo&ibreve;, A. G. Merzhanov, and B. I. Kha&ibreve;kin Sov. Phys. Dokl. 23 914 (1978)
  164. A. P. Aldushin, Ya. B. Zel'dovich, and S. I. Khudyaev Fiz. Gor. Vzryva 15 (No. 6) 20 (1979)
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  167. Ya. B. Zel'dovich, A. G. Istratov, N. I. Kidin, and V. B. Librovich Combust. Sci. Technol. 24 1 (1980)
  168. K. I. Shchelkin and L. G. Troshin Gas Dynamics of Combustion (in Russian) (Nauka, M., 1963)
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  170. Ya. B. Zel'dovich and V. V. Rachinski&ibreve; Introduction to the General Theory of the Dynamics of Sorption and Chromatography (in Russian) (Nauka, M., 1964)
  171. Ya. B. Zel'dovich Elektrokhimiya 13 677 (1977)
  172. Ya. B. Zel'dovich and A. A. Ovchinnikov Pis'ma Zh. Eksp. Teor. Fiz. 26 588 (1977); Ya. B. Zel'dovich and A. A. Ovchinnikov JETP Lett. 26 440 (1977)
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