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Reviews of topical problems


Nonlinear effects in macroscopic kinetics

,

Macroscopic kinetics describes relaxation in terms of macroscopic states, i.e., the distributions of density, temperature, and so on. Two types of system are examined in this review, namely, (1) closed systems (or systems interacting exclusively with a thermostat) and (2) flow systems in which the nonequilibrium state is maintained by an external agency (source of supply or pump). In both cases, states are established that do not depend (in a particular range) on the initial conditions. These are the attractor states. Spatially homogeneous states (kinetic phases) are discussed for flow systems, together with transitions between them that are the analogs of the motion of interphase boundaries. In closed systems, the establishment of equilibrium can be preceded by the appearance of other attractors in the form of intermediate asymptotic behavior. A comparison is made between similar states in different processes (chemical reactions, viscous flows, absorption of light, and so on). Stability conditions are discussed.

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Fulltext is also available at DOI: 10.1070/PU1987v030n04ABEH002831
PACS: 47.35.Fg, 47.70.Pq, 82.33.Vx, 47.20.−k (all)
DOI: 10.1070/PU1987v030n04ABEH002831
URL: https://ufn.ru/en/articles/1987/4/a/
Citation: Merzhanov A G, Rumanov É N "Nonlinear effects in macroscopic kinetics" Sov. Phys. Usp. 30 293–316 (1987)
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Оригинал: Мержанов А Г, Руманов Э Н «Нелинейные эффекты в макроскопической кинетике» УФН 151 553–593 (1987); DOI: 10.3367/UFNr.0151.198704a.0553

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  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)
  137. A. G. Strunina, A. V. Dvoryankin, and A. G. Merzhanov Fiz. Gor. Vzryva 19 (No. 2) 30 (1983)
  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]
  139. R. M. Zaidel’ and Ya. B. Zel’dovich Zh. Prikl. Mekh. Tekh. Fiz. No. 4 28 (1962); R. M. Zaidel’ and Ya. B. Zel’dovich J. Appl. Mech. Tech. Phys. (USSR) No. 4 (1962)
  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)
  147. P. F. Pokhil Zh. Fiz. Gor. Vzryva No. 2 181 (1953)
  148. B. I. Kha&ibreve;kin and A. G. Merzhanov Dokl. Akad. Nauk SSSR 173 1382 (1967); B. I. Kha&ibreve;kin and A. G. Merzhanov Dokl. Phys. Chem. 173 295 (1967)
  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)
  154. E. N. Rumanov Pis’ma Zh. Eksp. Teor. Fiz. 35 286 (1982); E. N. Rumanov JETP Lett. 35 354 (1982)
  155. F. V. Bunkin, N. A. Kirichenko, and B. S. Luk’yanchuk Usp. Fiz. Nauk 138 45 (1982); F. V. Bunkin, N. A. Kirichenko, and B. S. Luk’yanchuk Sov. Phys. Usp. 25 662 (1982)
  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
  157. Yu. M. Romanovski&ibreve;, N. B. Stepanova, and D. S. Chernavski&ibreve; Mathematical Biophysics (in Russian) (Nauka, M.) Chap. 3 (1984)
  158. J. Taffanael C. R. Bull. Chim. Soc. 157 714 (1913), 158, 42
  159. Ya. B. Zel’dovich Dokl. Akad. Nauk SSSR 257 1173 (1981); Ya. B. Zel’dovich Dokl. Phys. Chem. 257 (1981)
  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)
  165. L. S. Polak and A. S. Mikha&ibreve;lov Self-Organization In Nonequilibrium Physicochemical Systems (in Russian) (Nauka, M., 1983)
  166. N. M. Kuznetsov Zh. Eksp. Teor. Fiz. 49 1526 (1965); N. M. Kuznetsov Sov. Phys. JETP 22 1047 (1966)
  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)
  169. R. I. Soloukhin Usp. Fiz. Nauk 80 525 (1963); R. I. Soloukhin Sov. Phys. Usp. 6 523 (1963)
  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)
  173. Ya. B. Zel’dovich and A. A. Ovchinnikov Zh. Eksp. Teor. Fiz. 74 1588 (1978); Ya. B. Zel’dovich and A. A. Ovchinnikov Sov. Phys. JETP 47 829 (1978)
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