Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model

Journal of Physics A: Mathematical and General

Volumn 39, Issue 44, 2006, Pages 13593-13620

  Antonov, N V ^a   Ignatieva, A A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947261587     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/44/001     Document Type: Article

References (85)

1. Fisher M E 1965 The Nature of Critical Points (Boulder, CO: University of Colorado Press)
2. Stanley H 1971 Introduction to Phase Transitions and Critical Phenomena (Oxford: Clarendon)
3. Zinn-Justin J 1989 Quantum Field Theory and Critical Phenomena (Oxford: Clarendon)
4. Vasil'ev A N 2004 The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics (Boca Raton, FL: Chapman and Hall/CRC Press)
5. Halperin B I and Hohenberg P C 1977 Rev. Mod. Phys. 49 435
6. Folk R and Moser G 2006 J. Phys. A: Math. Gen. 39 R207
7. Khmel'nitskii D E 1975 Sov. Phys.-JETP 41 981
8. Shalaev B N 1977 Sov. Phys.-JETP 26 1204
9. Jayaprakash C and Katz H J 1977 Phys. Rev. B 16 3987
10. Janssen H-K, Oerding K and Sengespeick E 1995 J. Phys. A: Math. Gen. 28 6073
11. Satten G and Ronis D 1985 Phys. Rev. Lett. 55 91
12. Satten G and Ronis D 1986 Phys. Rev. A 33 3415
13. Beysens D, Gbadamassi M and Boyer L 1979 Phys. Rev. Lett 43 1253
14. Beysens D and Gbadamassi M 1979 J. Phys. Lett. 40 L565
15. Onuki A and Kawasaki K 1980 Prog. Theor. Phys. 63 122
16. Onuki A, Yamazaki K and Kawasaki K 1981 Ann. Phys., NY 131 217
17. Imaeda T, Onuki A and Kawasaki K 1984 Prog. Theor. Phys. 71 16
18. Ruiz R and Nelson D R 1981 Phys. Rev. A 23 3224
19. Ruiz R and Nelson D R 1981 Phys. Rev. A 24 2727
20. Aronowitz A and and Nelson D R 1984 Phys. Rev. A 29 2012
21. Easwar N, Maher J V, Pine D J and Goldburg W I 1983 Phys. Rev. Lett. 51 1272
22. Pine D J, Easwar N, Maher J V and Goldburg W I 1984 Phys. Rev. A 29 308
23. Tong P, Goldburg W I, Stavans J and Onuki A 1989 Phys. Rev. Lett. 62 2668
24. Chan C K, Perrot F and Beysens D 1988 Phys. Rev. Lett. 61 412
25. Perrot F, Chan C K and Beysens D 1989 Europhys. Lett. 9 65
26. Chan C K 1990 Chin. J. Phys. 28 75
27. Chan C K, Perrot F and Beysens D 1991 Phys. Rev. A 43 1826
28. Hnatich M 1990 Teor. Mat. Fiz. 83 374
29. Antonov N V, Nalimov M Yu, Hnatich M and Horvath D 1998 Int. J. Mod. Phys. B 12 1937
30. Corberi F, Gonnella G and Lamura A 1999 Phys. Rev. Lett. 83 4057
31. Corberi F, Gonnella G and Lamura A 2000 Phys. Rev. E 62 8064
32. Berthier L 2001 Phys. Rev. E 63 051503
33. Bray A J and Cavagna A 2000 J. Phys. A: Math. Gen. 33 L305
34. Cavagna A, Bray A J and Travasso R D M 2000 Phys. Rev. E 62 4702
35. Bray A J, Cavagna A and Travasso R D M 2000 Phys. Rev. E 64 012102
36. Bray A J, Cavagna A and Travasso R D M 2001 Phys. Rev. E 65 016104
37. Rapapa N P and Bray A J 1999 Phys. Rev. Lett. 83 3856
38. Emmott C L and Bray A J 1999 Phys. Rev. E 59 213
39. Rapapa N P 2000 Phys. Rev. E 61 247
40. Lacasta A M, Sancho J M and Sagués F 1995 Phys. Rev. Lett. 75 1791
41. Berthier L, Barrat J-L and Kurchan J 2001 Phys. Rev. Lett. 86 2014
42. Berti S, Boffetta G, Cencini M and Vulpiani A 2005 Phys. Rev. Lett. 95 224501
43. Antonov N V, Hnatich M and Honkonen J 2006 J. Phys. A: Math. Gen. 39 7867
44. Falkovich G, Gawedzki K and Vergassola M 2001 Rev. Mod. Phys. 73 913
45. Antonov N V 2006 J. Phys. A: Math. Gen. 39 7825
46. Avellaneda M and Majda A 1990 Commun. Math. Phys. 131 381
47. Avellaneda M and Majda A 1992 Commun. Math. Phys. 146 139
48. Zhang Q and Glimm J 1992 Commun. Math. Phys. 146 217
49. Majda A 1993 J. Stat. Phys. 73 515
50. Horntrop D and Majda A 1994 J. Math. Sci. Univ. Tokyo 1 23
51. Schmittman B and Zia R K P 1995 Phase Transitions and Critical Phenomena vol 17 ed C Domb and J Lebowitz (London: Academic) p 267
52. Täuber U C 2003 Adv. Solid State Phys. 43 659
53. Janssen H-K and Täuber U C 2004 Ann. Phys., NY 315 147
54. Basu A and Frey E 2004 Phys. Rev. E 69 015101
55. Calabrese P and Gambassi A 2005 J. Phys. A: Math. Gen. 38 R133
56. Schmittman B, Pruessner G and Janssen H-K 2006 J. Phys. A: Math. Gen. 39 8183
57. Mazenko G F, Valls O T and Zanetti M 1988 Phys. Rev. B 38 520
58. Roland C and Grant M 1989 Phys. Rev. B 39 11971
59. Bray A J 1994 Adv. Phys. 43 357
60. Martin P C, Siggia E D and Rose H A 1973 Phys. Rev. A 8 423
61. Janssen H K 1976 Z. Phys. B 23 377
62. Bausch R, Janssen H K and Wagner H 1976 Z. Phys. B 24 113
63. De Dominicis C 1976 J. Phys. (Paris) C 1 247
64. Larkin A I and Khmel'nitskii D E 1969 Sov. Phys.-JETP 29 1123
65. Aharony A 1973 Phys. Rev. B 8 3323
66. Brézin E and Zinn-Justin J 1976 Phys. Rev. B 13 251
67. Boyanovsky D and Cardy J L 1982 Phys. Rev. B 26 154
68. Boyanovsky D and Cardy J L 1983 Phys. Rev. B 27 6971 (erratum)
69. Lawrie I D and Prudnikov V V 1984 J. Phys. C: Solid State Phys. 17 1655
70. Hwa T and Kardar M 1989 Phys. Rev. Lett. 62 1813
71. Hwa T and Kardar M 1992 Phys. Rev. A 45 7002
72. Tadic B 1998 Phys. Rev. E 58 168
73. Jeong H, Kahng B and Kim D 1996 Phys. Rev. Lett. 25 5094
74. Kim H-J and Kim I-M 1998 Phys. Rev. E 58 1144
75. Mergulhão C Jr and Carneiro C E I 1999 Phys. Rev. B 59 13954
76. Diehl H W and Spot M 2001 J. Phys. A: Math. Gen. 34 9101
77. Diehl H W 2002 Acta Phys. Slovaca 52 271
78. Speer E R 1969 Generalized Feynman Amplitudes (Princeton, NJ: Princeton University Press)
79. Adzhemyan L Ts, Honkonen J, Kompaniets M V and Vasil'ev A N 2005 Phys. Rev. E 71 036305
80. Antonov N V and Vasil'ev A N 1984 Theor. Math. Phys. 60 671
81. Prudnikov V V, Ivanov A V and Fedorenko A A 1997 JETP Lett. 66 835
82. Honkonen J and Nalimov M Yu 1996 Z. Phys. B 99 297
83. Adzhemyan L Ts, Antonov N V and Vasil'ev A N 1999 The Field Theoretic Renormalization Group in Fully Developed Turbulence (London: Gordon and Breach) section 3.10
84. Ohta T, Jasnow D and Kawasaki K 1982 Phys. Rev. Lett. 49 1223
85. Binosi D and Theussl L 2004 Comput. Phys. Commun. 161 76