Issues

 / 

1983

 / 

December

  

Reviews of topical problems


Microscopic theories of order-disorder structural phase transitions in crystals

,  a,
a Kirensky Institute of Physics, Federal Research Center Krasnoyarsk Science Center of the Siberian Branch of the Russian Academy of Sciences, Academgorodok 50, str. 38, Krasnoyarsk, 660036, Russian Federation

The status of the microscopic theories is reviewed for the following types of order-disorder structural phase transitions in crystals: a) phase transitions in crystals with hydrogen bonds; b) orientational phase transitions in ionic-covalent crystals; c) orientational phase transitions in molecular crystals; d) order-disorder phase transitions in ordered interstitial and substitutional alloys. Attention is focused primarily on the static properties, i.e., the nature of the ordering, the phasetransition thermodynamics, and the distinctive features of these phase transitions in comparison with other phase transitions, particularly magnetic ones. The methods employed in the theoretical description of order-disorder structural phase transitions are examined--the Hamiltonians used, approximate methods for calculating the statistical properties (with allowance for correlation effects), exactly solvable models, etc. The existing theories of the phase transitions in various real crystals, including problems and results, are critically discussed for phase transitions of types a) and b).

Fulltext pdf (1.3 MB)
Fulltext is also available at DOI: 10.1070/PU1983v026n12ABEH004584
PACS: 64.60.Cn, 61.50.Ks (all)
DOI: 10.1070/PU1983v026n12ABEH004584
URL: https://ufn.ru/en/articles/1983/12/c/
Citation: Vaks V G, Zinenko V I, Schneider V E "Microscopic theories of order-disorder structural phase transitions in crystals" Sov. Phys. Usp. 26 1059–1086 (1983)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Вакс В Г, Зиненко В И, Шнейдер В Е «Микроскопические теории структурных фазовых переходов типа порядок-беспорядок в кристаллах» УФН 141 629–673 (1983); DOI: 10.3367/UFNr.0141.198312c.0629

Cited by (37) Similar articles (20) ↓

  1. A.I. Gusev “Nonstoichiometry and superstructuresPhys. Usp. 57 839–876 (2014)
  2. A.I. Gusev “Order-disorder transformations and phase equilibria in strongly nonstoichiometric compoundsPhys. Usp. 43 1–37 (2000)
  3. B.E. Vugmeister, M.D. Glinchuk “Cooperative phenomena in crystals containing off-center ions—dipole glass and ferroelectricitySov. Phys. Usp. 28 589–607 (1985)
  4. I.K. Razumov, A.Y. Yermakov et alNonequilibrium phase transformations in alloys under severe plastic deformationPhys. Usp. 63 733–757 (2020)
  5. I.S. Lyubutin, A.G. Gavriliuk “Research on phase transformations in 3d-metal oxides at high and ultrahigh pressure: state of the artPhys. Usp. 52 989–1017 (2009)
  6. E.I. Kut’in, V.L. Lorman, S.V. Pavlov “Methods of the theory of singularities in the phenomenology of phase transitionsSov. Phys. Usp. 34 (6) 497–514 (1991)
  7. V.V. Prudnikov, P.V. Prudnikov, M.V. Mamonova “Nonequilibrium critical behavior of model statistical systems and methods for the description of its featuresPhys. Usp. 60 762–797 (2017)
  8. A.V. Bushman, V.E. Fortov “Model equations of stateSov. Phys. Usp. 26 465–496 (1983)
  9. M.F. Deigen, M.D. Glinchuk “Paraelectric resonance of noncentral ionsSov. Phys. Usp. 17 691–704 (1975)
  10. A.P. Levanyuk, D.G. Sannikov “Improper ferroelectricsSov. Phys. Usp. 17 199–214 (1974)
  11. A.V. Eletskii, B.M. Smirnov “Fullerenes and carbon structuresPhys. Usp. 38 935–964 (1995)
  12. A.Z. Patashinskii, V.L. Pokrovskii “The renormalization-group method in the theory of phase transitionsSov. Phys. Usp. 20 31–54 (1977)
  13. S.A. Pikin, V.L. Indenbom “Thermodynamic states and symmetry of liquid crystalsSov. Phys. Usp. 21 487–501 (1978)
  14. E.N. Avrorin, B.K. Vodolaga et alIntense shock waves and extreme states of matterPhys. Usp. 36 (5) 337–364 (1993)
  15. V.L. Pokrovskii “Similarity hypothesis in the theory of phase transitionsSov. Phys. Usp. 11 66–74 (1968)
  16. A.V. Nikolaev, A.V. Tsvyashchenko “The puzzle of the γ→α and other phase transitions in ceriumPhys. Usp. 55 657–680 (2012)
  17. A.M. Balagurov, I.S. Golovin “Neutron scattering in studies of Fe-based functional alloys (Fe—Ga, Fe—Al)Phys. Usp. 64 702–721 (2021)
  18. T.N. Kolobyanina “’Weird’ crystal structures of elements at high pressurePhys. Usp. 45 1203–1211 (2002)
  19. G.A. Petrakovskii “Amorphous magnetic materialsSov. Phys. Usp. 24 511–525 (1981)
  20. E.G. Maksimov, V.I. Zinenko, N.G. Zamkova “Ab initio calculations of the physical properties of ionic crystalsPhys. Usp. 47 1075–1099 (2004)

The list is formed automatically.

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