RSS feeds
РусскийEnglish
Issue 2, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2003

 / 

February

←  →

Reviews of topical problems


Critical exponents of a three-dimensional weakly diluted quenched Ising model

 a,  b,  c
a Institut für Theoretische Physik, Johannes Kepler Universität, Altenbergerstr. 69, Linz, A-4040, Austria
b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, ul. Svientsitskii 1, Lviv, 79011, Ukraine
c Ivan Franko Lviv National University, Kirilla i Mefodiya str. 6, Lviv, 79005, Ukraine

Universal and nonuniversal critical exponents of a three-dimensional Ising system with weak quenched disorder are discussed. Experimental, computational, and theoretical results are reviewed. Particular attention is given to field-theoretical renormalization-group results. Different renormalization schemes are considered with emphasis on the analysis of the divergent series obtained.

Fulltext pdf (958 KB)
Fulltext is also available at DOI: 10.1070/PU2003v046n02ABEH001077
PACS: 11.10.Gh, 61.43.−j, 64.60.Ak (all)
DOI: 10.1070/PU2003v046n02ABEH001077
URL: https://ufn.ru/en/articles/2003/2/c/
000183400800003
Citation: Folk R, Holovatch Yu, Yavorskii T "Critical exponents of a three-dimensional weakly diluted quenched Ising model" Phys. Usp. 46 169–191 (2003)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Фольк Р, Головач Ю, Яворский Т «Критические показатели трехмерной слабо разбавленной замороженной модели Изинга» УФН 173 175–200 (2003); DOI: 10.3367/UFNr.0173.200302c.0175

References (145) Cited by (133) ↓ Similar articles (20)

  1. Acharyya M, Holovatch Yu, Iglói F Eur. Phys. J. B 99 (2) (2026)
  2. Shapoval D, Dudka M Condens. Matter Phys. 28 (4) 43503 (2025)
  3. Ataeva G, Babaev A, Murtazaev A Herald of Omsk University 30 (3) 4 (2025)
  4. Ruiz-Lorenzo J J, Dudka M et al Phys. Rev. E 111 (2) (2025)
  5. Krasnytska M Condens. Matter Phys. 27 (3) 33603 (2024)
  6. Dudka M, Shapoval D, Holovatch Yu J. Phys. Stud. 28 (2) (2024)
  7. Delzescaux L, Mouhanna D, Tissier M Phys. Rev. E 110 (5) (2024)
  8. Ataeva G Ya, Babaev A B, Murtazaev A K Phys. Metals Metallogr. 124 (7) 660 (2023)
  9. Dudka M, Krasnytska M et al Journal Of Magnetism And Magnetic Materials 575 170718 (2023)
  10. Murtazaev A K, Babaev A B et al J. Exp. Theor. Phys. 135 (3) 347 (2022)
  11. Semkin S V, Smagin V P, Tarasov V S J. Exp. Theor. Phys. 134 (6) 713 (2022)
  12. Ruiz-Lorenzo J J, Dudka M, Holovatch Yu Phys. Rev. E 106 (3) (2022)
  13. Kazmin S, Janke W Phys. Rev. B 105 (21) (2022)
  14. Murtazaev A K, Babaev A B, Ataeva G Ya Phys. Solid State 64 (5) 264 (2022)
  15. Krasnytska M, Berche B et al Entropy 23 (9) 1175 (2021)
  16. Borodikhin V N, Popov I S Eur. Phys. J. Plus 136 (11) (2021)
  17. Kompaniets M V, Kudlis A, Sokolov A I Phys. Rev. E 103 (2) (2021)
  18. Binder D J J. High Energ. Phys. 2021 (9) (2021)
  19. Blavatska V, Holovatch Yu Physica A: Statistical Mechanics And Its Applications 573 125980 (2021)
  20. Babaev A B, Murtazaev A K Phys. Solid State 62 (5) 851 (2020)
  21. Shapoval D, Dudka M et al Phys. Rev. B 101 (6) (2020)
  22. Murtazaev A K, Babaev A B Materials Letters 258 126771 (2020)
  23. Kazmin S, Janke W Phys. Rev. B 102 (17) (2020)
  24. Chepak A K, Afremov L L, Mironenko A Yu SSP 312 244 (2020)
  25. Prudnikov V V, Prudnikov P V, Lyakh A S Phys. Solid State 62 (5) 821 (2020)
  26. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 130 (2) 258 (2020)
  27. Murtazaev A K, Babaev A B Materials Letters 238 321 (2019)
  28. Babaev A B, Murtazaev A K J. Phys.: Conf. Ser. 1389 (1) 012010 (2019)
  29. Dotsenko V J. Exp. Theor. Phys. 129 (4) 738 (2019)
  30. Xu Y, Yao D-X Phys. Rev. B 97 (22) (2018)
  31. Babaev A B, Murtazaev A K et al Phys. Solid State 60 (6) 1180 (2018)
  32. Babaev A B, Murtazaev A K Low Temperature Physics 44 (12) 1348 (2018)
  33. Babaev A B, Murtazaev A K Jetp Lett. 107 (10) 624 (2018)
  34. Prudnikov V V, Prudnikov P V, Mamonova M V Phys.-Usp. 60 (8) 762 (2017)
  35. Babaev A B, Murtazaev A K Jetp Lett. 105 (6) 384 (2017)
  36. Prudnikov V V, Prudnikov P V, Mamonova M V Uspekhi Fizicheskikh Nauk 817 (2017)
  37. Kryzhanovsky B, Litinskii L Physica A: Statistical Mechanics And Its Applications 468 493 (2017)
  38. Holovatch Yu, Kenna R, Thurner S Eur. J. Phys. 38 (2) 023002 (2017)
  39. Murtazaev A K, Babaev A B, Ataeva G Ya Phys. Solid State 59 (1) 141 (2017)
  40. Murtazaev A K, Babaev A B, Ataeva G Y Journal Of Magnetism And Magnetic Materials 440 101 (2017)
  41. Dotsenko V, Holovatch Yu et al Phys. Rev. E 95 (3) (2017)
  42. Passos A L, de Albuquerque D F, Filho J B S Physica A: Statistical Mechanics And Its Applications 450 541 (2016)
  43. Krasnytska M, Sarkanych P et al J. Phys. A: Math. Theor. 49 (25) 255001 (2016)
  44. Aharony O, Komargodski Z, Yankielowicz Sh J. High Energ. Phys. 2016 (4) 1 (2016)
  45. Dudka M, Fedorenko A A et al Phys. Rev. B 93 (22) (2016)
  46. Prudnikov P V, Prudnikov V V et al Progress Of Theoretical And Experimental Physics 2015 (5) 53A01 (2015)
  47. Dudka M Journal of Mathematical Physics 56 (1) (2015)
  48. Babaev A B, Murtazaev A K Low Temperature Physics 41 (8) 608 (2015)
  49. Prudnikov V V, Vakilov A N, Talashok D V Jetp Lett. 100 (10) 675 (2015)
  50. Vasilyev O, Berche B et al Phys. Rev. E 92 (4) (2015)
  51. Prudnikov V V, Prudnikov P V et al Physics Letters A 379 (8) 774 (2015)
  52. Murtazaev A K, Babaev A B Bull. Russ. Acad. Sci. Phys. 78 (1) 70 (2014)
  53. Xiong W, Xu Ch et al Physica A: Statistical Mechanics And Its Applications 405 352 (2014)
  54. Prudnikov V V, Vakilov A N, Zolotarev S A J. Phys.: Conf. Ser. 510 012019 (2014)
  55. Semkin S V, Smagin V P Phys. Solid State 56 (12) 2425 (2014)
  56. Semkin S V, Smagin V P Phys. Solid State 56 (6) 1105 (2014)
  57. Murtazaev A K, Babaev A B Jetp Lett. 99 (9) 535 (2014)
  58. Semkin S V, Smagin V P Phys. Solid State 56 (7) 1338 (2014)
  59. Dotsenko V, Holovatch Yu Phys. Rev. E 90 (5) (2014)
  60. Prudnikov V V, Prudnikov P V J. Phys.: Conf. Ser. 510 012020 (2014)
  61. Murtazaev A K, Babaev A B J. Exp. Theor. Phys. 116 (1) 101 (2013)
  62. Blavatska V J. Phys.: Condens. Matter 25 (50) 505101 (2013)
  63. Murtazaev A K, Babaev A B, Ataeva G Ya Low Temperature Physics 39 (2) 147 (2013)
  64. Xiong W, Zhong F, Fan Sh Computer Physics Communications 183 (6) 1162 (2012)
  65. Prudnikov P V, Medvedeva M A Progress Of Theoretical Physics 127 (3) 369 (2012)
  66. Blavats’ka V, Gaidukіvs’ka Kh, Golovach Yu Ukr. J. Phys. 57 (1) 41 (2012)
  67. Murtazaev A K, Babaev A B SSP 190 687 (2012)
  68. Kurbanovich M A, Babaevich B A Journal Of Magnetism And Magnetic Materials 324 (22) 3870 (2012)
  69. Prudnikov P V, Kulikov D N Jetp Lett. 93 (2) 103 (2011)
  70. Murtazaev A K, Babaev A B, Aznaurova G Ya Low Temperature Physics 37 (2) 134 (2011)
  71. von Ferber C, Folk R et al Phys. Rev. E 83 (6) (2011)
  72. Murtazaev A K, Babaev A B, Aznaurova G Ya Bull. Russ. Acad. Sci. Phys. 74 (5) 686 (2010)
  73. Xiong W, Zhong F et al Phys. Rev. E 81 (5) (2010)
  74. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 110 (2) 253 (2010)
  75. Shalaev B N Phys. Solid State 52 (1) 87 (2010)
  76. Murtazaev A K, Babaev A B, Aznaurova G Ya SSP 168-169 357 (2010)
  77. Santos-Filho J B, Moreno N O, de Albuquerque D F J. Phys.: Conf. Ser. 249 012038 (2010)
  78. Prudnikov V V, Prudnikov P V et al Phys. Rev. E 81 (1) (2010)
  79. Vink R L C Soft Matter 5 (22) 4388 (2009)
  80. Murtazaev A K, Babaev A B, Aznaurova G Ya J. Exp. Theor. Phys. 109 (3) 442 (2009)
  81. Murtazaev A K, Babaev A B Journal Of Magnetism And Magnetic Materials 321 (17) 2630 (2009)
  82. Prudnikov P V, Prudnikov V V Phys. Rev. B 80 (2) (2009)
  83. Ivaneyko D, Berche B et al Physica A: Statistical Mechanics And Its Applications 387 (18) 4497 (2008)
  84. Calabrese P, Pelissetto A, Vicari E Phys. Rev. E 77 (2) (2008)
  85. Murtazaev A K, Babaev A B, Aznaurova G Ya Phys. Solid State 50 (4) 733 (2008)
  86. Folk R, Holovatch Yu, Moser G Phys. Rev. E 78 (4) (2008)
  87. Kapikranian O, Berche B, Holovatch Yu Physics Letters A 372 (35) 5716 (2008)
  88. Prudnikov P V, Prudnikov V V, Nosikhin E A J. Exp. Theor. Phys. 106 (5) 897 (2008)
  89. Murtazaev A K, Babaev A B, Aznaurova G Ya Bull. Russ. Acad. Sci. Phys. 71 (5) 707 (2007)
  90. Prudnikov V V, Vakilov A N, Filikanov E L Phys. Metals Metallogr. 104 (6) 541 (2007)
  91. Prudnikov V V, Prudnikov P V et al Progress Of Theoretical Physics 117 (6) 973 (2007)
  92. Prudnikov P V, Prudnikov V V, Nosikhin E A Phys. Metals Metallogr. 104 (3) 221 (2007)
  93. Hasenbusch M, Pelissetto A, Vicari E J. Stat. Mech. 2007 (11) P11009 (2007)
  94. Prudnikov V V, Prudnikov P V et al J. Exp. Theor. Phys. 105 (2) 371 (2007)
  95. Prudnikov P V, Prudnikov V V Russ Phys J 50 (5) 458 (2007)
  96. Hasenbusch M, Toldin F P et al J. Stat. Mech. 2007 (02) P02016 (2007)
  97. Santos-Filho J B, Moreno N O et al Physica B: Condensed Matter 398 (2) 294 (2007)
  98. Dudka M, Folk R et al J. Phys. A: Math. Theor. 40 (29) 8247 (2007)
  99. Hasenbusch M, Toldin F P et al Phys. Rev. B 76 (9) (2007)
  100. Murtazaev A K, Kamilov I K, Babaev A B Bull. Russ. Acad. Sci. Phys. 71 (11) 1586 (2007)
  101. Ivaneyko D, Ilnytskyi J et al Physica A: Statistical Mechanics And Its Applications 370 (2) 163 (2006)
  102. Dudka M, Folk R et al J. Phys. A: Math. Gen. 39 (25) 7943 (2006)
  103. Toldin F P, Pelissetto A, Vicari E J. Stat. Mech. 2006 (06) P06002 (2006)
  104. Ye F, Zhou L et al Phys. Rev. B 74 (14) (2006)
  105. Folk R, Moser G J. Phys. A: Math. Gen. 39 (24) R207 (2006)
  106. Murtazaev A K Uspekhi Fizicheskikh Nauk 176 (10) 1119 (2006)
  107. Hellmund M, Janke W Phys. Rev. B 74 (14) (2006)
  108. Schehr G, Paul R J. Phys.: Conf. Ser. 40 27 (2006)
  109. Prudnikov P V, Prudnikov V V J. Phys.: Condens. Matter 17 (46) L485 (2005)
  110. Dudka M, Folk R, Holovatch Yu Journal Of Magnetism And Magnetic Materials 294 (3) 305 (2005)
  111. Hasenbusch M, Pelissetto A, Vicari E Phys. Rev. B 72 (1) (2005)
  112. Blavats’ka V, Dudka M et al Phys. Rev. B 72 (6) (2005)
  113. Schehr G, Paul R Phys. Rev. E 72 (1) (2005)
  114. Calabrese P, Gambassi A J. Phys. A: Math. Gen. 38 (18) R133 (2005)
  115. Chatelain Ch, Berche B et al Nuclear Physics B 719 (3) 275 (2005)
  116. Paul R, Schehr G Europhys. Lett. 72 (5) 719 (2005)
  117. Dudka M, Folk R et al Phys. Rev. E 72 (3) (2005)
  118. Prudnikov V V, Borodikhin V N J. Exp. Theor. Phys. 101 (2) 294 (2005)
  119. Suslov I M J. Exp. Theor. Phys. 100 (6) 1188 (2005)
  120. Holovatch Yu, Ivaneyko D, Delamotte B J. Phys. A: Math. Gen. 37 (11) 3569 (2004)
  121. Murtazaev A K, Kamilov I K, Babaev A B J. Exp. Theor. Phys. 99 (6) 1201 (2004)
  122. Dudka M, Holovatch Yu, Yavors’kii T J. Phys. A: Math. Gen. 37 (45) 10727 (2004)
  123. Calabrese P, Parruccini P et al Phys. Rev. E 69 (3) (2004)
  124. Usatenko Z, Ciach A Phys. Rev. E 70 (5) (2004)
  125. Calabrese P, Pelissetto A, Vicari E Phys. Rev. E 70 (3) (2004)
  126. Calabrese P, Orlov E V et al Phys. Rev. B 70 (9) (2004)
  127. Timonin P N J. Exp. Theor. Phys. 99 (5) 1044 (2004)
  128. Borodikhin V N, Dmitriev D V, Prudnikov V V Russian Physics Journal 47 (5) 534 (2004)
  129. Janke W, Berche P -E et al Springer Proceedings In Physics Vol. Computer Simulation Studies in Condensed-Matter Physics XVIQuenched Disorder Distributions in Three-Dimensional Diluted Ferromagnets95 Chapter 12 (2004) p. 89
  130. Calabrese P, De Prato M et al Phys. Rev. B 68 (13) (2003)
  131. Calabrese P, Pelissetto A, Vicari E Phys. Rev. B 68 (9) (2003)
  132. Blavats’ka V, von Ferber C, Holovatch Yu Phys. Rev. B 67 (9) (2003)
  133. Calabrese P, Martín-Mayor V et al Phys. Rev. E 68 (3) (2003)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions