RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1977

 / 

January

←  →

Reviews of topical problems


The renormalization-group method in the theory of phase transitions

,

The renormalization group for the statistical mechanics of a wave field is described. The hypothesis of scaling of correlations near an order-disorder phase-transition point is written in renormalization-group terms. The renormalization-group equations near a fixed point are investigated. The scaling dimensions (critical indices) of the principal quantities are found in the $\epsilon$-approximation. The stability of manycomponent systems and the question of asymptotic symmetry are investigated. The renormalization method is applied to the study of the dynamics of systems near a phase-transition point.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.1070/PU1977v020n01ABEH005315
PACS: 64.60.Cn
DOI: 10.1070/PU1977v020n01ABEH005315
URL: https://ufn.ru/en/articles/1977/1/b/
Citation: Patashinskii A Z, Pokrovskii V L "The renormalization-group method in the theory of phase transitions" Sov. Phys. Usp. 20 31–54 (1977)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Паташинский А З, Покровский В Л «Метод ренорм-группы в теории фазовых переходов» УФН 121 55–96 (1977); DOI: 10.3367/UFNr.0121.197701b.0055

Cited by (41) ↓ Similar articles (20)

  1. Babaev A B, Murtazaev A K Phys. Metals Metallogr. 124 653 (2023)
  2. Efimkin D K, Burg G W et al Phys. Rev. B 101 (3) (2020)
  3. Kats E I Uspekhi Fizicheskikh Nauk 187 1022 (2017)
  4. Krivolaz M A Diffuse Scattering of X-Rays and Neutrons by Fluctuations Chapter 4 (1996) p. 197
  5. Izyumov Yu A, Syromyatnikov V N Phase Transitions and Crystal Symmetry Chapter 11 (1990) p. 404
  6. Privman V, Fisher M E Current Physics–Sources And Comments Vol. Finite-Size ScalingConvergence of Finite-Size Scaling Renormalisation Techniques2 (1988) p. 292
  7. Kumar A, Krishnamurthy H R, Gopal E S R Physics Reports 98 57 (1983)
  8. Sandler YU M, Serdobol’skaja O YU Ferroelectrics 48 49 (1983)
  9. Nikomarov E S Physica A: Statistical Mechanics And Its Applications 120 647 (1983)
  10. Privman V, Fisher M E J. Phys. A: Math. Gen. 16 L295 (1983)
  11. Dotsenko V S, Dotsenko V S Advances In Physics 32 129 (1983)
  12. Dotsenko V S, Dotsenko V S J. Phys. C: Solid State Phys. 15 495 (1982)
  13. Yamagishi H Phys. Rev. D 25 464 (1982)
  14. Bulgadaev S A Theor Math Phys 51 593 (1982)
  15. Vakarchuk I A, Rudavskii Yu K Theor Math Phys 51 382 (1982)
  16. Vakarchuk I A, Rudavskii Yu K, Yukhnovskii I R Theor Math Phys 50 204 (1982)
  17. Storonkin B A, Syshchikov Yu V Theor Math Phys 52 706 (1982)
  18. Gerasimov O I, Fischer I Z, Lisý V Czech J Phys 32 772 (1982)
  19. Adler J, Moshe M, Privman V Phys. Rev. B 26 1411 (1982)
  20. Tonchev N S, Uzunov D I J. Phys. A: Math. Gen. 14 L103 (1981)
  21. Campana L S, D’Ambrosio M, De Cesaee L Lett. Nuovo Cimento 32 39 (1981)
  22. Stepanow S Acta Polymerica 32 98 (1981)
  23. Uzunov D I Physics Letters A 87 11 (1981)
  24. Uzonov D I Physics Letters A 84 489 (1981)
  25. Ginzburg V L, Levanyuk A P, Sobyanin A A Physics Reports 57 151 (1980)
  26. Panasyuk G Yu, Storonkin B A Theor Math Phys 45 915 (1980)
  27. Patashinskii A Z, Shumilo B I Physics Letters A 76 115 (1980)
  28. Vause C, Sak J Phys. Rev. A 21 2099 (1980)
  29. Ginzburg I F, Panfil S L Physics Letters A 72 5 (1979)
  30. Dorofeeva E, Makarov V et al 50 7421 (1979)
  31. Bleher P M, Žalys E Commun.Math. Phys. 67 17 (1979)
  32. Westwański B Physica A: Statistical Mechanics And Its Applications 92 501 (1978)
  33. Vause C, Sak J Phys. Rev. B 18 1455 (1978)
  34. Hohenberg P C Microscopic Structure and Dynamics of Liquids Chapter 7 (1978) p. 333
  35. Fradkin E S, Palchik M Ya Physics Reports 44 249 (1978)
  36. Trimper S Physics Letters A 67 141 (1978)
  37. Aksenov V L, Plakida N M Theor Math Phys 35 345 (1978)
  38. Vakarchuk I A Theor Math Phys 36 639 (1978)
  39. Sokolov A I, Tagantsev A K Ferroelectrics 20 141 (1978)
  40. Lukierski J Fortschr. Phys. 25 765 (1977)
  41. Hohenberg P C, Halperin B I Rev. Mod. Phys. 49 435 (1977)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions