Issues

 / 

1995

 / 

June

  

Reviews of topical problems


Fractal analysis and Feigenbaum universality in hadron physics


State Research Center ‘Institute of High Energy Physics’, ul. Pobedy 1, Protvino, Moscow Region, 142280, Russian Federation

The current state of the mathematical formalism commonly used in the study of fractals — infinite sets with noninteger Hausdorff dimension — is briefly revealed. The application of fractal analysis to hadron physics is shown. In this connection, the hypothesis on the presence of the Feigenbaum universality in hadron multiproduction characteristics is discussed.

Fulltext pdf (818 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n06ABEH000091
PACS: 14.20.−c, 14.40.−n, 13.75.−n (all)
DOI: 10.1070/PU1995v038n06ABEH000091
URL: https://ufn.ru/en/articles/1995/6/c/
A1995RL93800003
Citation: Batunin A V "Fractal analysis and Feigenbaum universality in hadron physics" Phys. Usp. 38 609–622 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Áàòóíèí À Â «Ôðàêòàëüíûé àíàëèç è óíèâåðñàëüíîñòü Ôåéãåíáàóìà â ôèçèêå àäðîíîâ» ÓÔÍ 165 645–660 (1995); DOI: 10.3367/UFNr.0165.199506c.0645

References (60) Cited by (3) Similar articles (20) ↓

  1. I.M. Dremin “Correlations and fluctuations in multiparticle productionSov. Phys. Usp. 33 (8) 647–662 (1990)
  2. A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physicsPhys. Usp. 36 (12) 1087–1128 (1993)
  3. V.V. Vereshchagin, K.N. Mukhin, O.O. Patarakin “New data on the pion-pion interaction at low energiesPhys. Usp. 43 315–347 (2000)
  4. L.L. Enkovskii, V.P. Shelest “Description of inelastic processes in dual models (B5 phenomenology)Sov. Phys. Usp. 16 630–641 (1974)
  5. V.V. Zosimov, L.M. Lyamshev “Fractals in wave processesPhys. Usp. 38 347–384 (1995)
  6. M.I. Polikarpov “Fractals, topological defects, and confinement in lattice gauge theoriesPhys. Usp. 38 591–607 (1995)
  7. I.M. Dremin “Quantum chromodynamics and multiplicity distributionsPhys. Usp. 37 715–736 (1994)
  8. I.R. Stakhovsky “Scale invariance of shallow seismicity and the prognostic signs of earthquakesPhys. Usp. 60 472–489 (2017)
  9. M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flowsSov. Phys. Usp. 33 (1) 1–35 (1990)
  10. L.G. Landsberg “Exotic baryonsPhys. Usp. 37 1043–1077 (1994)
  11. V.V. Anisovich “The lightest scalar glueballPhys. Usp. 41 419–439 (1998)
  12. V.G. Makhan’kov, Yu.P. Rybakov, V.I. Sanyuk “The Skyrme model and strong interactions (On the 30th anniversary of the creation of the Skyrme model)Sov. Phys. Usp. 35 (2) 55–84 (1992)
  13. V.V. Anisovich “Systematics of quark-antiquark states and scalar exotic mesonsPhys. Usp. 47 45–67 (2004)
  14. M.A. Andreichikov, B.O. Kerbikov, Yu.A. Simonov “Hadron physics in magnetic fieldsPhys. Usp. 62 319–339 (2019)
  15. B.M. Smirnov “Fractal clustersSov. Phys. Usp. 29 481–505 (1986)
  16. S.S. Gershtein, V.V. Kiselev et alPhysics of Bc-mesonsPhys. Usp. 38 1–37 (1995)
  17. V.V. Anisovich “Exotic mesons: the search for glueballsPhys. Usp. 38 1179–1201 (1995)
  18. I.M. Sokolov “Dimensionalities and other geometric critical exponents in percolation theorySov. Phys. Usp. 29 924–945 (1986)
  19. L.I. Men’shikov, R. Landua “Current state of ’cold’ antihydrogen researchPhys. Usp. 46 227–257 (2003)
  20. K.N. Alekseev, G.P. Berman et alDynamical chaos in magnetic systemsSov. Phys. Usp. 35 (7) 572–590 (1992)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions