Issues

 / 

1981

 / 

January

  

Reviews of topical problems


Phase transitions with coupled order parameters

A broad set of phenomena in which the coupling of several order parameters is essential is examined from a unitary standpoint on the basis of the fluctuational theory of phase transitions. The coupling of an order parameter with other degrees of freedom can lead to the appearance on the phase transition lines of singular (polycritical) points, near which the character of the anomalies changes. We analyze numerous experimental studies near polycritical points, whose results as a whole confirm the conclusions of fluctuational theory. The studied objects include $^3$He --$^4$He solutions, antiferromagnetics, ammonium halides, liquid crystals, and mercury near the liquid-gas critical point. The main result of studying systems with coupled order parameters is a substantial expansion of the possibility of a universal description of real phase transitions, including those that have been objects of more or less separate fields of physics, owing to their complexity.

Fulltext pdf (975 KB)
Fulltext is also available at DOI: 10.1070/PU1981v024n01ABEH004612
PACS: 64.60.Fr, 64.60.Kw, 64.70.−p (all)
DOI: 10.1070/PU1981v024n01ABEH004612
URL: https://ufn.ru/en/articles/1981/1/d/
Citation: Anisimov M A, Gorodetskii E E, Zaprudskii V M "Phase transitions with coupled order parameters" Sov. Phys. Usp. 24 57–75 (1981)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Анисимов М А, Городецкий Е Е, Запрудский В М «Фазовые переходы с взаимодействующими параметрами порядка» УФН 133 103–137 (1981); DOI: 10.3367/UFNr.0133.198101d.0103

Cited by (59) ↓ Similar articles (20)

  1. Anisimov M A, Buldyrev S V et al J. Phys. Chem. B 129 (24) 6036 (2025)
  2. Vafa F, Doostmohammadi A EPL 152 (5) 57002 (2025)
  3. Demishev S V Uspekhi Fizicheskikh Nauk 194 (01) 23 (2024) [Demishev S V Phys. Usp. 67 (01) 22 (2024)]
  4. Fedorov P P J. Phase Equilib. Diffus. 45 (3) 475 (2024)
  5. Mesoscopic Thermodynamics for Scientists and Engineers 1 (2024) p. 103
  6. Talanov M V, Shirokov V B et al Journal Of Magnetism And Magnetic Materials 575 170717 (2023)
  7. Talanov M V, Shirokov V B, Talanov V M Acta Materialia 259 119187 (2023)
  8. Fedorov P P, Popov A A et al Russ. J. Inorg. Chem. 67 (12) 2018 (2022)
  9. Xu H, Wu C, Wang Yu Phys. Rev. B 106 (19) (2022)
  10. Thoen J, Cordoyiannis G et al Journal Of Molecular Liquids 340 117204 (2021)
  11. Stishov S M, Petrova A E J. Exp. Theor. Phys. 131 (6) 1056 (2020)
  12. Lyakhov G A, Shcherbakov I A, Shermeneva M A Phys. Wave Phen. 28 (3) 236 (2020)
  13. Fedorov P P, Proydakova V Y et al J Am Ceram Soc 103 (5) 3390 (2020)
  14. Fedorov P P, Alexandrov A A et al The Journal Of Chemical Thermodynamics 149 106178 (2020)
  15. Murtazaev A K, Ibaev Zh G J. Exp. Theor. Phys. 127 (6) 1040 (2018)
  16. Hennigar R A, Mann R B, Tjoa E Phys. Rev. Lett. 118 (2) (2017)
  17. Alekhin A D, Abdikarimov B Zh et al Russ. J. Phys. Chem. 91 (8) 1401 (2017)
  18. Murtazaev A K, Ibaev J G Bull. Russ. Acad. Sci. Phys. 77 (10) 1241 (2013)
  19. Murtazaev A K, Ibaev Zh G J. Exp. Theor. Phys. 116 (2) 266 (2013)
  20. Murtazaev A K, Ibaev J G Physics Research International 2012 1 (2012)
  21. Mukherjee P K Journal Of Non-Crystalline Solids 358 (3) 666 (2012)
  22. Murtazaev A K, Ibaev J G SSP 190 391 (2012)
  23. Cordoyiannis G, Tripathi Ch Sh P et al Phys. Rev. E 82 (3) (2010)
  24. Thoen Ja, Cordoyiannis G, Glorieux Ch Liquid Crystals 36 (6-7) 669 (2009)
  25. Shablovskii Ya O Russ. J. Phys. Chem. 80 (1) 51 (2006)
  26. Irisawa K, Fujita A et al Phys. Rev. B 70 (21) (2004)
  27. The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics (2004) p. 661
  28. Belim S V, Prudnikov V V Phys. Solid State 43 (7) 1353 (2001)
  29. Seeck O H, Hupfeld D et al Phys. Rev. B 58 (2) 623 (1998)
  30. Mukherjee P K Int. J. Mod. Phys. B 12 (15) 1585 (1998)
  31. Mukherjee P K, Saha M Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 307 (1) 103 (1997)
  32. Dikovsky V Ya, Amitin E B et al Low Temperature Physics 22 (12) 1042 (1996)
  33. Qian S, Iannacchione G S et al Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 265 (1) 395 (1995)
  34. Das M K, Jha B, Paul R Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 261 (1) 95 (1995)
  35. Mukherjee P K, Saha J et al Phys. Rev. B 50 (14) 9778 (1994)
  36. Iannacchione G S, Finotello D Phys. Rev. E 50 (6) 4780 (1994)
  37. Anisimov M A, Gorodetsky E E et al Liquid Crystals 11 (6) 941 (1992)
  38. Thoen J NATO ASI Series Vol. Phase Transitions in Liquid CrystalsCalorimetric Studies of Liquid Crystal Phase Transitions: Steady State Adiabatic Techniques290 Chapter 10 (1992) p. 155
  39. Sarkisyan A T, Yailoyan S M J Struct Chem 30 (4) 682 (1990)
  40. Izyumov Yu A, Syromyatnikov V N Phase Transitions and Crystal Symmetry Chapter 11 (1990) p. 404
  41. Pawlowska Z, Oliker J et al Phys. Rev. B 39 (10) 7140 (1989)
  42. Falci G, Fazio R, Giaquinta G Phys. Rev. B 39 (13) 8984 (1989)
  43. Salje E Phys Chem Minerals 15 (4) 336 (1988)
  44. Falci G, Fazio R, Giaquinta G Physica C: Superconductivity 153-155 721 (1988)
  45. Fazio R, Falci G, Giaquinta G Physica B: Condensed Matter 152 (1-2) 257 (1988)
  46. Röhricht B, Huebener R P et al Phys. Rev. Lett. 61 (22) 2600 (1988)
  47. Menshikov A Z Physica B+C 149 (1-3) 249 (1988)
  48. Anisimov M A, Kurlandsky A S, Kazakova N F Molecular Crystals And Liquid Crystals Incorporating Nonlinear Optics 159 (1) 87 (1988)
  49. Molecular Crystals And Liquid Crystals Incorporating Nonlinear Optics 162 (1) 1 (1988)
  50. Salje E Advances In Physical Geochemistry Vol. Structural and Magnetic Phase Transitions in MineralsToward a Thermodynamic Understanding of Feldspars: Order Parameters of Na-Feldspar and the Iī–Pī Phase Transition in Anorthite7 Chapter 1 (1988) p. 1
  51. Salje E Phys Chem Minerals 14 (2) 181 (1987)
  52. Gramsbergen E F, Longa L, de Jeu W H Physics Reports 135 (4) 195 (1986)
  53. Tuszyński J A Physics Letters A 110 (3) 148 (1985)
  54. Katriel J, Kventsel G F Molecular Crystals And Liquid Crystals 124 (1) 179 (1985)
  55. Kventsel G F, Katriel J Phys. Rev. B 32 (3) 1767 (1985)
  56. Katriel J, Kventsel G F Journal Of Magnetism And Magnetic Materials 42 (3) 243 (1984)
  57. Katriel J, Kventsel G F Solid State Communications 52 (7) 689 (1984)
  58. Arecchi F T, Politi A, Ulivi L Nuov Cim B 71 (1) 119 (1982)
  59. White R M MRS Proc. 19 (1982)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions