Issues

 / 

2017

 / 

August

  

Reviews of topical problems


Nonequilibrium critical behavior of model statistical systems and methods for the description of its features

, ,
Omsk State University, prosp. Mira 55a, Omsk, 644077, Russian Federation

This paper reviews the features of far-from-equilibrium critical behavior of macroscopic systems and present current methods of describing them using model statistical systems such as the three-dimensional Ising model and the two-dimensional XY-model. The paper examines the critical relaxation of homogeneous and structurally disordered systems subject to abnormally strong fluctuation effects involved in ordering processes in solids at second order phase transitions. Interest in such systems is due to the aging properties and fluctuation-dissipation theorem violations predicted for and observed in systems slowly evolving from a nonequilibrium initial state. It is shown that these features of nonequilibrium behavior show up in the magnetic properties of magnetic superlattices consisting of alternating nanoscale-thick magnetic and nonmagnetic layers and can be observed not only near the film's critical ferromagnetic ordering temperature Tc, but also over the wide temperature range T ≤ Tc.

Fulltext pdf (2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2017.02.038067
Keywords: phase transitions and critical phenomena, nonequilibrium behavior, systems with slow dynamics, disordered systems, aging effects, fluctuation—dissipation ratio, multilayered magnetic structures, Monte Carlo simulations
PACS: 64.60.ae, 64.60.Cn, 64.60.Ht (all)
DOI: 10.3367/UFNe.2017.02.038067
URL: https://ufn.ru/en/articles/2017/8/b/
000414573600002
2-s2.0-85040980319
2017PhyU...60..762P
Citation: Prudnikov V V, Prudnikov P V, Mamonova M V "Nonequilibrium critical behavior of model statistical systems and methods for the description of its features" Phys. Usp. 60 762–797 (2017)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 14th, September 2016, 7th, February 2017

Оригинал: Прудников В В, Прудников П В, Мамонова М В «Особенности неравновесного критического поведения модельных статистических систем и методы их описания» УФН 187 817–855 (2017); DOI: 10.3367/UFNr.2017.02.038067

References (105) ↓ Cited by (31) Similar articles (20)

  1. Cugliandolo L F Slow Relaxation And Nonequilibrium Dynamics In Condensed Matter (Les Houches, École d’Ete de Physique Theorique) Vol. 77 (Eds J-L Barrat et al.) (Berlin: Springer, 2003) p. 371
  2. Henkel M, Pleimling M Non-Equilibrium Phase Transitions Vol. 2 (Heidelberg: Springer, 2010)
  3. Afzal N, Pleimling M Phys. Rev. E 87 012114 (2013)
  4. Ehlers G J. Phys. Condens. Matter 18 R231 (2006)
  5. Berthier L, Kurchan J Nature Phys. 9 310 (2013)
  6. Vincent E et al. Lect. Notes Phys. 492 184 (1997)
  7. Bouchaud J P et al. Spin Glasses And Random Fields (Directions in Condensed Matter Physics) Vol. 12 (Ed. A P Young) (Singapore: World Scientific, 1998) p. 443
  8. Calabrese P, Gambassi A J. Phys. A 38 R133 (2005)
  9. Berthier L, Holdsworth P C W, Sellitto M J. Phys. A 34 1805 (2001)
  10. Pleimling M, Gambassi A Phys. Rev. B 71 180401(R) (2005)
  11. Gambassi A Eur. Phys. J. B 64 379 (2008)
  12. Drovosekov A B i dr. Pis’ma ZhETF 88 126 (2008); Drovosekov A B et al. JETP Lett. 88 118 (2008)
  13. Mukherjee T, Pleimling M, Binek Ch Phys. Rev. B 82 134425 (2010)
  14. Prudnikov V V i dr. Zh. Eksp. Teor. Fiz. 133 1251 (2008); Prudnikov V V et al. JETP 106 1095 (2008)
  15. Prudnikov V V i dr. Zh. Eksp. Teor. Fiz. 137 287 (2010); Prudnikov V V et al. JETP 110 253 (2010)
  16. Prudnikov V V i dr. Zh. Eksp. Teor. Fiz. 132 417 (2007); Prudnikov V V et al. JETP 105 371 (2007)
  17. Prudnikov V V et al. Phys. Rev. E 81 011130 (2010)
  18. Prudnikov V V et al. Prog. Theor. Phys. 117 973 (2007)
  19. Prudnikov P V, Medvedeva M A Prog. Theor. Phys. 127 369 (2012)
  20. Rosov N, Hohenemser C, Eibschütz M Phys. Rev. B 46 3452 (1992)
  21. Calabrese P, Gambassi A Phys. Rev. E 66 066101 (2002)
  22. Calabrese P, Gambassi A Phys. Rev. B 66 212407 (2002)
  23. Prudnikov V V, Prudnikov P V, Purtov A N, Mamonova M V Pis’ma ZhETF 104 797 (2016); Prudnikov V V, Prudnikov P V, Purtov A N, Mamonova M V JETP Lett. 104 776 (2016)
  24. Cugliandolo L F, Kurchan J, Peliti L Phys. Rev. E 55 3898 (1997)
  25. Godréche C, Luck J M J. Phys. Condens. Matter 14 1589 (2002)
  26. Calabrese P, Gambassi A J. Phys. A 38 R133 (2005)
  27. Godréche C, Luck J M J. Phys. A 33 9141 (2000)
  28. Cugliandolo L F, Kurchan J, Parisi G J. Physique 4 1641 (1994)
  29. Lippiello E, Zannetti M Phys. Rev. E 61 3369 (2000)
  30. Mayer P et al. Phys. Rev. E 68 016116 (2003)
  31. Chatelain C J. Phys. A 36 10739 (2003)
  32. Chatelain C J. Stat. Mech. P06006 (2004)
  33. Abriet S, Karevski D Eur. Phys. J. B 41 79 (2004)
  34. Janssen H K, Schaub B, Schmittmann B Z. Phys. B 73 539 (1989)
  35. Hohenberg P C, Halperin B I Rev. Mod. Phys. 49 435 (1977)
  36. Oerding K, Janssen H K J. Phys. A 28 4271 (1995)
  37. Oerding K, Janssen H K J. Phys. A 26 3369 (1993)
  38. Oerding K, Janssen H K J. Phys. A 26 5295 (1993)
  39. Jaster A et al. J. Phys. A 32 1395 (1999)
  40. Prudnikov V V, Vakilov A N, Prudnikov P V Fazovye Perekhody i Metody Ikh Komp’yuternogo Modelirovaniya (M.: Fizmatlit, 2009)
  41. Prudnikov V V, Prudnikov P V, Vakilov A N Teoreticheskie Metody Opisaniya Neravnovesnogo Kriticheskogo Povedeniya Strukturno Neuporyadochennykh Sistem (M.: Fizmatlit, 2013)
  42. Vasil’ev A N Kvantovopolevaya Renormgruppa v Teorii Kriticheskogo Povedeniya i Stokhasticheskoi Dinamike (SPb.: Izd-vo PIYaF, 1998); Per. na angl. yaz., Vasil’ev A N Field Theoretic Renormalization Group In Critical Behavior Theory And Stochastic Dynamics (Boca Raton, FL: Chapman and Hall. CRC, 2004)
  43. Pelissetto A, Vicari E Phys. Rep. 368 549 (2002)
  44. Prudnikov V V, Prudnikov P V Zh. Eksp. Teor. Fiz. 122 636 (2002); Prudnikov V V, Prudnikov P V JETP 95 550 (2002)
  45. Fol’k R, Golovach Yu, Yavorskii T Usp. Fiz. Nauk 173 175 (2003); Folk R, Holovatch Yu, Yavorskii T Phys. Usp. 46 169 (2003)
  46. Calabrese P, Gambassi A, Krzakala F J. Stat. Mech. P06016 (2006)
  47. Janke W Lect. Notes Phys. 739 79 (2008)
  48. Prudnikov V V, Prudnikov P V, Pospelov E A J. Phys. Conf. Ser. 510 012015 (2014)
  49. Prudnikov V V, Prudnikov P V J. Phys. Conf. Ser. 510 012020 (2014)
  50. Prudnikov P V et al. Prog. Theor. Exp. Phys. 053A01 (2015)
  51. Ferrenberg A M, Landau D P Phys. Rev. B 44 5081 (1991)
  52. Ricci-Tersenghi F Phys. Rev. E 68 065104(R) (2003)
  53. Godrèche C, Krzakala F, Ricci-Tersenghi F J. Stat. Mech. P04007 (2004)
  54. Prudnikov P V, Prudnikov V V, Pospelov E A Pis’ma ZhETF 98 693 (2013); Prudnikov P V, Prudnikov V V, Pospelov E A JETP Lett. 98 619 (2013)
  55. Prudnikov V V, Prudnikov P V, Pospelov E A J. Stat. Mech. P043303 (2016)
  56. Guida R, Zinn-Justin J J. Phys. A 31 8103 (1998)
  57. Krinitsyn A S, Prudnikov V V, Prudnikov P V Teor. Mat. Fiz. 147 137 (2006); Krinitsyn A S, Prudnikov V V, Prudnikov P V Theor. Math. Phys. 147 561 (2006)
  58. Harris A B J. Phys. C 7 1671 (1974)
  59. Kamilov I K, Murtazaev A K, Aliev Kh K Usp. Fiz. Nauk 169 773 (1999); Kamilov I K, Murtazaev A K, Aliev Kh K Phys. Usp. 42 689 (1999)
  60. Murtazaev A K, Kamilov I K, Babaev A B Zh. Eksp. Teor. Fiz. 126 1377 (2004); Murtazaev A K, Kamilov I K, Babaev A B JETP 99 1201 (2004)
  61. Birgeneau R J et al. Phys. Rev. B 27 6747 (1983)
  62. Mitchell P W et al. Phys. Rev. B 34 4719 (1986)
  63. Rosov N et al. Phys. Rev. B 37 3265 (1988)
  64. Slanič Z, Belanger D P, Fernandez-Baca J A Phys. Rev. Lett. 82 426 (1999)
  65. Prudnikov V V, Prudnikov P V, Fedorenko A A Phys. Rev. B 62 8777 (2000)
  66. Vakilov A N, Prudnikov V V Pis’ma ZhETF 55 709 (1992); Prudnikov V V, Vakilov A N JETP Lett. 55 741 (1992)
  67. Prudnikov V V, Vakilov A N Zh. Eksp. Teor. Fiz. 103 962 (1993); Prudnikov V V, Vakilov A N JETP 76 469 (1993)
  68. Pelissetto A, Vicari E Phys. Rev. B 62 6393 (2000)
  69. Ballesteros H G et al. Phys. Rev. B 58 2740 (1998)
  70. Parisi G, Ricci-Tersenghi F, Ruiz-Lorenzo J J Phys. Rev. E 60 5198 (1999)
  71. Hasenbusch M, Pelissetto A, Vicari E J. Stat. Mech. P11009 (2007)
  72. Schehr G, Paul R Phys. Rev. E 72 016105 (2005)
  73. Schehr G, Paul R J. Phys. Conf. Ser. 40 27 (2006)
  74. Heuer H-O Phys. Rev. B 42 6476 (1990)
  75. Heuer H-O J. Phys. A 26 L341 (1993)
  76. Wiseman S, Domany E Phys. Rev. Lett. 81 22 (1998)
  77. Wiseman S, Domany E Phys. Rev. E 58 2938 (1998)
  78. Prudnikov V V i dr. Trudy Seminara po vychislitel’nym tekhnologiyam v estestvennykh naukakh Vyp. 1 Vychislitel’naya fizika (Pod red. R R Nazirova) (M.: Izd-vo KDU, 2009) p. 240
  79. Prudnikov V V Vestn. Omskogo Un-ta (2) 101 (2012)
  80. Prudnikov V V, Prudnikov P V, Pospelov E A Zh. Eksp. Teor. Fiz. 145 462 (2014); Prudnikov V V, Prudnikov P V, Pospelov E A JETP 118 401 (2014)
  81. Prudnikov V V et al. Phys. Lett. A 379 774 (2015)
  82. Prudnikov V V i dr. Pis’ma ZhETF 102 192 (2015); Prudnikov V V et al. JETP Lett. 102 167 (2015)
  83. Prudnikov V V, Vakilov A N, Talashok D V Pis’ma ZhETF 100 760 (2014); Prudnikov V V, Vakilov A N, Talashok D V JETP Lett. 100 675 (2014)
  84. Bray A J Adv. Phys. 43 357 (1994)
  85. Berezinskii V L Nizkotemperaturnye Svoistva Dvumernykh Sistem s Nepreryvnoi Gruppoi Simmetrii (M.: Fizmatlit, 2007)
  86. Berezinskii V L Zh. Eksp. Teor. Fiz. 59 907 (1970); Berezinskii V L Sov. Phys. JETP 32 493 (1971)
  87. Kosterlitz J M, Thouless D J J. Phys. C 6 1181 (1973)
  88. Kosterlitz J M J. Phys. C 7 1046 (1974)
  89. Vaz C A F, Bland J A C, Lauhoff G Rep. Prog. Phys. 71 056501 (2008)
  90. Korshunov S E Usp. Fiz. Nauk 176 233 (2006); Korshunov S E Phys. Usp. 49 225 (2006)
  91. Bulaevskii L N, Kuzii V V, Sobyanin A A Pis’ma ZhETF 25 314 (1977); Bulaevskii L N, Kuzii V V, Sobyanin A A JETP Lett. 25 290 (1977)
  92. Buzdin A I, Bulaevskii L N, Panyukov S V Pis’ma ZhETF 35 147 (1982); Buzdin A I, Bulaevskii L N, Panyukov S V JETP Lett. 35 178 (1982)
  93. Buzdin A I, Vuiichich B, Kupriyanov M Yu Zh. Eksp. Teor. Fiz. 101 231 (1992); Buzdin A I, Bujicic B, Kupriyanov M Yu JETP 74 124 (1992)
  94. Bray A J, Briant A J, Jervis D K Phys. Rev. Lett. 84 1503 (2000)
  95. Lei X W, Zheng B Phys. Rev. E 75 040104(R) (2007)
  96. Prudnikov V V i dr. Fiz. Met. Metalloved. 115 1254 (2014); Prudnikov V V et al. Phys. Met. Metallogr. 115 1186 (2014)
  97. Prudnikov P V, Popov I S J. Phys. Conf. Ser. 510 012014 (2014)
  98. Prudnikov P V, Prudnikov V V, Popov I S Pis’ma ZhETF 101 596 (2015); Prudnikov P V, Prudnikov V V, Popov I S JETP Lett. 101 539 (2015)
  99. Weber H, Minnhagen P Phys. Rev. B 37 5986(R) (1988)
  100. Abriet S, Karevski D Eur. Phys. J. B 37 47 (2004)
  101. Popov I S, Prudnikov P V, Prudnikov V V J. Phys. Conf. Ser. 681 012015 (2016)
  102. Prudnikov V V, Prudnikov P V, Purtov A N Vestn. Omskogo Un-ta (3) 33 (2016)
  103. Prudnikov V V, Prudnikov P V, Romanovskii D E Pis’ma ZhETF 102 759 (2015); Prudnikov V V, Prudnikov P V, Romanovskii D E JETP Lett. 102 668 (2015)
  104. Prudnikov P V, Prudnikov V V, Medvedeva M A Pis’ma 100 501 (2014); Prudnikov P V, Prudnikov V V, Medvedeva<?twb> M A JETP Lett. 100 446 (2014)
  105. Prudnikov P V et al. J. Magn. Magn. Mater. 387 77 (2015)

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