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Reviews of topical problems


Fractal clusters


Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13, Bldg. 2, Moscow, 125412, Russian Federation

Fractal clusters, i.e., systems formed as a result of the aggregation of solid particles executing Brownian motion in space, are discussed. Studies of fractal clusters and of the dynamics of their formation, based on modern computational techniques, are reviewed. Experimental studies of fractal clusters, and processes and phenomena in which they manifest themselves, are examined. An analysis is given of a model of ball lightning in which the active material has the structure of a fractal cluster.

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Fulltext is also available at DOI: 10.1070/PU1986v029n06ABEH003414
PACS: 61.43.Hv, 68.43.Jk, 82.70.Rr, 66.30.Dn (all)
DOI: 10.1070/PU1986v029n06ABEH003414
URL: https://ufn.ru/en/articles/1986/6/a/
Citation: Smirnov B M "Fractal clusters" Sov. Phys. Usp. 29 481–505 (1986)
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Оригинал: Смирнов Б М «Фрактальные кластеры» УФН 149 177–219 (1986); DOI: 10.3367/UFNr.0149.198606a.0177

References (120) Cited by (123) Similar articles (20) ↓

  1. B.M. Smirnov “Processes involving clusters and small particles in a buffer gas” Phys. Usp. 54 691–721 (2011)
  2. I.M. Sokolov “Dimensionalities and other geometric critical exponents in percolation theory” Sov. Phys. Usp. 29 924–945 (1986)
  3. B.M. Smirnov “Metal nanostructures: from clusters to nanocatalysis and sensors” Phys. Usp. 60 1236–1267 (2017)
  4. E.F. Mikhailov, S.S. Vlasenko “The generation of fractal structures in gaseous phase” Phys. Usp. 38 253–271 (1995)
  5. E.P. Emets, A.E. Novoselova, P.P. Poluektov “In situ determination of the fractal dimensions of aerosol particles” Phys. Usp. 37 881–887 (1994)
  6. V.V. Zosimov, L.M. Lyamshev “Fractals in wave processes” Phys. Usp. 38 347–384 (1995)
  7. P.V. Kashtanov, B.M. Smirnov, R. Hippler “Magnetron plasma and nanotechnology” Phys. Usp. 50 455–488 (2007)
  8. B.M. Smirnov “Physics of ball lightning” Sov. Phys. Usp. 33 (4) 261–288 (1990)
  9. B.I. Shklovskii, Éfros A L “Percolation theory and conductivity of strongly inhomogeneous media” Sov. Phys. Usp. 18 845–862 (1975)
  10. G.V. Kozlov “Structure and properties of particulate-filled polymer nanocomposites” Phys. Usp. 58 33–60 (2015)
  11. A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physics” Phys. Usp. 36 (12) 1087–1128 (1993)
  12. V.G. Boiko, Kh.I. Mogel’ et al “Features of metastable states in liquid-vapor phase transitions” Sov. Phys. Usp. 34 (2) 141–159 (1991)
  13. B.M. Smirnov “Processes in plasma and gases involving clusters” Phys. Usp. 40 1117–1147 (1997)
  14. A.V. Eletskii, B.M. Smirnov “Dissociative recombination of electrons and molecular ions” Sov. Phys. Usp. 25 13–30 (1982)
  15. A.V. Eletskii, B.M. Smirnov “Properties of cluster ions” Sov. Phys. Usp. 32 763–782 (1989)
  16. B.M. Smirnov “Observational properties of ball lightning” Sov. Phys. Usp. 35 (8) 650–670 (1992)
  17. I.M. Lifshits, A.Yu. Grosberg, A.R. Khokhlov “Volume interactions in the statistical physics of a polymer macromolecule” Sov. Phys. Usp. 22 123–142 (1979)
  18. Nagaev É L “Ferromagnetic and antiferromagnetic semiconductors” Sov. Phys. Usp. 18 863–892 (1975)
  19. I.R. Stakhovsky “Scale invariance of shallow seismicity and the prognostic signs of earthquakes” Phys. Usp. 60 472–489 (2017)
  20. B.M. Smirnov “Processes in expanding and condensing gases” Phys. Usp. 37 621–657 (1994)

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