RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1990

 / 

September

←  →

Reviews of topical problems


Self-organization in active distributed media: scenarios for the spontaneous formation and evolution of dissipative structures

,  a
a Institute of Electrophysics, Ural Branch of the Russian Academy of Sciences, ul. Amundsena 106, Ekaterinburg, 620016, Russian Federation

Various scenarios for self-organization in a wide range of nonequilibrium physical, chemical, and biological systems are examined. It is stressed that in many systems small-amplitude dissipative structures never form: At the instant at which the homogeneous state stratifies, large-amplitude dissipative structures appear abruptly. These large-amplitude structures are striations, spots, or blobs. Methods for the construction of such dissipative structures and for studying their stability are discussed for an arbitrary departure of the system from equilibrium. Many self-organization scenarios do not involve an instability of the dissipative structures of a given type and are instead determined by a local breakdown effect. In real systems, self-organization is determined by the spontaneous appearance and subsequent evolution of autosolitons (localized dissipative structures). The conditions under which turbulence arises in such systems in the absence of a flow are discussed. This turbulence is a complicated picture of the random appearance and disappearance of interacting autosolitons in various parts of the system. In gaseous and semiconductor plasmas, dissipative structures can arise in the form of numerous current filaments or electric-field domains. Their formation is unrelated to the shape of the current-voltage characteristic of the system. There is a discussion of certain self-organization phenomena in systems in which static dissipative structures may be accompanied by pulsating dissipative structures and autowaves. Corresponding effects in systems with flows (or fluxes of material) are also discussed. The general results of self-organization theory are used to explain the properties of the dissipative structures which have been observed and studied in numerical and experimental studies of physical systems of various types in recent years.

Fulltext pdf (1.9 MB)
Fulltext is also available at DOI: 10.1070/PU1990v033n09ABEH002627
PACS: 47.27.−i, 72.30.+q (all)
DOI: 10.1070/PU1990v033n09ABEH002627
URL: https://ufn.ru/en/articles/1990/9/a/
Citation: Kerner B S, Osipov V V "Self-organization in active distributed media: scenarios for the spontaneous formation and evolution of dissipative structures" Sov. Phys. Usp. 33 (9) 679–719 (1990)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кернер Б С, Осипов В В «Самоорганизация в активных распределенных средах (Сценарии спонтанного образования и эволюции диссипативных структур)» УФН 160 (9) 1–73 (1990); DOI: 10.3367/UFNr.0160.199009a.0001

References (179) Cited by (103) ↓ Similar articles (20)

  1. Filippov A E, Popov V L Phys Mesomech 26 608 (2023)
  2. Khon Yu A Phys Mesomech 26 434 (2023)
  3. Pisarchik A N, Hramov A E Uspekhi Fizicheskikh Nauk 193 1298 (2023)
  4. [Pisarchik A N, Hramov A E Phys. Usp. 66 1224 (2023)]
  5. Khon Yu A, Zuev L B Phys Mesomech 25 111 (2022)
  6. Sugakov V I Ukr. J. Phys. 56 1130 (2022)
  7. Krasheninnikov S I, Kukushkin A S, Pshenov A A Plasma Phys. Control. Fusion 64 125011 (2022)
  8. Zhao Sh-X Chinese Phys. B 30 055201 (2021)
  9. Makarov P V, Khon Yu A Phys Mesomech 24 363 (2021)
  10. Bukh A V, Strelkova G I, Anishchenko V S Chaos, Solitons & Fractals 139 110002 (2020)
  11. Apollonov V V, Kazantsev S Yu Tech. Phys. Lett. 45 443 (2019)
  12. Apollonov V V, Kazantsev S Yu Bull. Lebedev Phys. Inst. 46 161 (2019)
  13. Mokrov M S, Raizer Yu P Plasma Sources Sci. Technol. 27 065008 (2018)
  14. Kerner B S Breakdown in Traffic Networks Chapter 3 (2017) p. 87
  15. Lachinov A N, Vorob’eva N V, Lachinov A A J. Synch. Investig. 10 292 (2016)
  16. Kerner B S Physica A: Statistical Mechanics And Its Applications 450 700 (2016)
  17. Kerner B S, Koller M et al Physica A: Statistical Mechanics And Its Applications 438 365 (2015)
  18. Khon Yu A, Kaminskii P P (AIP Conference Proceedings) Vol. 1683 (2015) p. 020081
  19. Malygin G A, Ogarkov S L, Andriyash A V Phys. Solid State 57 79 (2015)
  20. Arnoult G, Belmonte T et al J. Phys. D: Appl. Phys. 44 174022 (2011)
  21. TZOU J C, BAYLISS A et al Eur. J. Appl. Math 22 423 (2011)
  22. Zuev L B, Khon Yu A, Barannikova S A Tech. Phys. 55 965 (2010)
  23. Raizer Yu P, Mokrov M S J. Phys. D: Appl. Phys. 43 255204 (2010)
  24. Shibkov A A, Zolotov A E Jetp Lett. 90 370 (2009)
  25. Kaminskii P P, Khon Yu A Theoretical And Applied Fracture Mechanics 51 161 (2009)
  26. Rinkevich A B, Perov D V Phys. Scr. 77 065006 (2008)
  27. Khon Yu A, Kolobov Yu R et al Tech. Phys. 53 328 (2008)
  28. Bogomol’nyi V M Meas Tech 51 310 (2008)
  29. Yuan Zh, Zhang J, Zhou T Phys. Rev. E 78 (3) (2008)
  30. Kamilov I K, Stepurenko A A et al Semiconductors 42 383 (2008)
  31. Tessone C J, Ullner E et al Phys. Rev. E 74 (4) (2006)
  32. Volkov E I Radiophys Quantum Electron 48 212 (2005)
  33. Volkov E I, Ullner E, Kurths J 15 (2) (2005)
  34. Volkov E I, Ullner E et al Phys. Rev. E 68 (6) (2003)
  35. Volkov E I, Stolyarov M N et al Phys. Rev. E 67 (6) (2003)
  36. Muratov C B, Osipov V V SIAM J. Appl. Math. 62 1463 (2002)
  37. Zuev L B, Danilov V I, Semukhin B S Usp. Fiz. Met. 3 237 (2002)
  38. Muratov C B, Osipov V V Physica D: Nonlinear Phenomena 155 112 (2001)
  39. Badaeva V F, Kaminskii P P, Khon Yu A Tech. Phys. Lett. 27 6 (2001)
  40. Kaganovich I D, Ramamurthi B N, Economou D J Phys. Rev. E 64 (3) (2001)
  41. Markov G A, Khon Yu A Tech. Phys. Lett. 27 792 (2001)
  42. Emel’yanov O A Tech. Phys. Lett. 27 679 (2001)
  43. Kaganovich I 8 2540 (2001)
  44. Kawczyński A L, Legawiec B Phys. Rev. E 64 (5) (2001)
  45. Kawczyński A L, Legawiec B Phys. Rev. E 63 (2) (2001)
  46. Kaganovich I D, Economou D J et al Phys. Rev. Lett. 84 1918 (2000)
  47. Vlasenko N A, Denisova Z L et al Journal Of Crystal Growth 214-215 944 (2000)
  48. Kamilov I K, Stepurenko A A, Kovalev A S Semiconductors 34 418 (2000)
  49. Olemskoi A I, Klepikov V F Physics Reports 338 571 (2000)
  50. Malygin G A Phys. Solid State 41 224 (1999)
  51. Musaev A M Semiconductors 33 1076 (1999)
  52. Osipov V V, Severtsev A V Physica A: Statistical Mechanics And Its Applications 249 162 (1998)
  53. Vol. Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)A Lyapunov functional for the cubic nonlinearity activator-inhibitor model equationE.JusthP.S.Krishnaprasad2 (1998) p. 1404
  54. Kamilov I K, Stepurenko A A, Kovalev A S Semiconductors 32 625 (1998)
  55. Arecchi F T, Boccaletti S et al Springer Series In Synergetics Vol. Self-Organization in Optical Systems and Applications in Information TechnologyPattern and Vortex Dynamics in Photorefractive Oscillators66 Chapter 8 (1998) p. 161
  56. Ohta T, Jasnow D Phys. Rev. E 56 5648 (1997)
  57. Reynolds W N, Ponce-Dawson S, Pearson J E Phys. Rev. E 56 185 (1997)
  58. Vashchenko V A, Martynov J B, Sinkevitch V F Solid-State Electronics 41 75 (1997)
  59. Muratov C B Phys. Rev. E 55 1463 (1997)
  60. Osipov V V, Severtsev A V Physics Letters A 227 61 (1997)
  61. Vashhenko V A, Martynov J B et al IEEE Trans. Electron Devices 43 2080 (1996)
  62. Kamilov I K, Stepurenko A A Physica Status Solidi (b) 194 643 (1996)
  63. Muratov C B, Osipov V V Phys. Rev. E 53 3101 (1996)
  64. Osipov V V Physica D: Nonlinear Phenomena 93 143 (1996)
  65. Vashchenko V A, Sinkevitch V F Solid-State Electronics 39 851 (1996)
  66. Muratov C B Phys. Rev. E 54 3369 (1996)
  67. Osipov V V, Severtsev A V Physics Letters A 222 400 (1996)
  68. Mirzoev F Kh, Panchenko V Ya, Shelepin L A Uspekhi Fizicheskikh Nauk 166 3 (1996)
  69. Muratov C B, Osipov V V Phys. Rev. E 54 4860 (1996)
  70. Li G, Ouyang Q, Swinney H L 105 10830 (1996)
  71. Osipov V V, Muratov C B Phys. Rev. Lett. 75 338 (1995)
  72. Arecchi F T, Boccaletti S et al Springer Series In Synergetics Vol. Self-Organization in Optical Systems and Applications in Information TechnologyPattern and Vortex Dynamics in Photorefractive Oscillators66 Chapter 8 (1995) p. 161
  73. Boissonade J, Dulos E, De Kepper P Chemical Waves and Patterns Chapter 7 (1995) p. 221
  74. Arecchi F T Physica D: Nonlinear Phenomena 86 297 (1995)
  75. Kuznetsova E M, Osipov V V Phys. Rev. E 51 148 (1995)
  76. Borckmans P, Dewel G et al Chemical Waves and Patterns Chapter 10 (1995) p. 323
  77. Suzuki M, Ohta T et al Phys. Rev. E 52 3645 (1995)
  78. Bode M, Purwins H -G Physica D: Nonlinear Phenomena 86 53 (1995)
  79. Kerner B S Springer Proceedings In Physics Vol. Nonlinear Dynamics and Pattern Formation in Semiconductors and DevicesAutosolitons in the Form of Current Filaments and Electric Field Domains in Semiconductors and Devices79 Chapter 4 (1995) p. 70
  80. Osipov V V, Muratov C B Phys. Rev. E 50 3251 (1994)
  81. Arecchi F T Il Nuovo Cimento D 16 1065 (1994)
  82. Willebrand H, Astrov Y et al J. Phys. D: Appl. Phys. 27 2354 (1994)
  83. Medvinsky A B, Tsyganov M A et al Physica D: Nonlinear Phenomena 79 299 (1994)
  84. Hagberg A, Meron E Nonlinearity 7 805 (1994)
  85. Arecchi F T Nuov Cim A 107 1111 (1994)
  86. Rovinsky A B, Menzinger M Phys. Rev. Lett. 72 2017 (1994)
  87. Arecchi F T, Boccaletti S et al Chaos 4 491 (1994)
  88. Reynolds W N, Pearson J E, Ponce-Dawson S Phys. Rev. Lett. 72 2797 (1994)
  89. Vorontsov M A, Firth W J Phys. Rev. A 49 2891 (1994)
  90. Giaquinta A, Boccaletti S et al 4 557 (1994)
  91. Niedernostheide F -J, Dohmen R et al Physica D: Nonlinear Phenomena 69 425 (1993)
  92. Arecchi F T, Boccaletti S et al Phys. Rev. Lett. 70 2277 (1993)
  93. Gafiichuk V V, Lubashevskii I A J Math Sci 67 2943 (1993)
  94. Kerner B S Experimental and Theoretical Advances in Biological Pattern Formation Chapter 18 (1993) p. 191
  95. Ruwisch D, Bode M, Purwins H-G Neural Networks 6 1147 (1993)
  96. Melvinsky A B, Tsyganov M A et al Physica D: Nonlinear Phenomena 64 267 (1993)
  97. Rovinsky A B, Menzinger M Phys. Rev. Lett. 70 778 (1993)
  98. Osipov V V Phys. Rev. E 48 88 (1993)
  99. Niedernostheide F -J, Kerner B S, Purwins H -G Phys. Rev. B 46 7559 (1992)
  100. Niedernostheide F ‐J, Arps M et al Physica Status Solidi (b) 172 249 (1992)
  101. Abramov V P, Kerner B S, Klenov S L J. Phys. D: Appl. Phys. 25 1461 (1992)
  102. Papanyan V O, Grigoryan Yu I Physics Letters A 164 43 (1992)
  103. Rovinsky A B, Menzinger M Phys. Rev. Lett. 69 1193 (1992)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions