Reaction-diffusion processes and non perturbative renormalization group;Processus de réaction-diffusion et groupe de renormalisation non perturbatif

Annales de Physique

Volumn 29, Issue 4, 2004, Pages 33-150

  Canet, L ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244497775     PISSN: 00034169     EISSN: None     Source Type: Journal    
DOI: 10.1051/anphys:2005003     Document Type: Review

References (126)

1. J.L. Cardy, Conformal invariance, Phase transitions and Critical Phenomena, édité par C. Domb, J.L. Lebowitz (Academic Press, New York, 1987), Vol. 11.
2. M. Henkel, Conformal Invariance and Critical Phenomena (Springer Verlag, Berlin, 1999).
3. C.W. Gardiner, Handbook of stochastic methods for physics, chemistry and the natural sciences, 2nd edn. (Springer-Verlag, Berlin, 1990).
4. P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
5. T.E. Harris, Ann. Prob. 2, 969 (1974).
6. B. Drossel, F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992).
7. E.V. Albano, J. Phys. A 27, L881 (1994).
8. M. Schreckenberg, A. Schadschneider, K. Nagel, M. Ito, Phys. Rev. E 51, 2939 (1995).
9. J.-P. Bouchaud, A. Georges, Phys. Rep. 195, 127 (1990).
10. M. Henkel, Classical and Quantum Nonlinear Integrable Systems: Theory and Applications, édité par A. Kundu (Institute of Physics Publishing, Bristol, 2003).
11. B. Derrida, M. Evans, The asymmetric exclusion process: exact results through a matrix approach, Nonequilibrium statistical mechanics in one dimension, édité par V. Privman (Cambridge University Press, Cambridge, U.K., 1997).
12. H. Hinrichsen, Adv. Phys. 49, 815 (2000).
13. H. Risken, The Fokker-Planck equation (Springer-Verlag, Berlin, 1988).
14. H.K. Janssen, Z. Phys. B 23, 377 (1976).
15. C. De Dominicis, J. Phys. (Paris) C 1, 247 (1976).
16. P.C. Martin, E.D. Siggia, H.A. Rose, Phys. Rev. A 8, 423 (1973).
17. M. Doi, J. Phys. A 9, 1479 (1976).
18. L. Peliti, J. Phys. (Paris) 46, 1469 (1984).
19. L. Canet, B. Delamotte, O. Deloubrière, N. Wschebor, Phys. Rev. Lett. 92, 195703 (2004).
20. L. Canet, H. Chaté, B. Delamotte, Phys. Rev. Lett 92, 255703 (2004).
21. C. Wetterich, Phys. Lett. B 301, 90 (1993).
22. T.R. Morris, Int. J. Mod. Phys. A 9, 2411 (1994).
23. U. Ellwanger, Z. Phys. C 62, 503 (1994).
24. H.K. Janssen, Z. Phys. B 42, 151 (1981).
25. P. Grassberger, Z. Phys. B 47, 365 (1982).
26. S.R. Broadbent, J.M. Hammersley, Proc. Camb. Phil. Soc. 53, 629 (1957).
27. D. Stauffer, A. Aharony, Introduction to percolation theory, 2nd edn. (Taylor and Francis, London, 1992).
28. P. Grassberger, A. de la Torre, Ann. Phys. (N.Y.) 122, 373 (1979).
29. J.F.F. Mendes, R. Dickman, M. Henkel, M.C. Marques, J. Phys. A 27, 3019 (1994).
30. I. Jensen, A.J. Guttmann, J. Phys. A 28, 4813 (1995).
31. I. Jensen, Phys. Rev. A 45, R563 (1992).
32. C.A. Voigt, R.M. Ziff, Phys. Rev. E 56, R6241 (1997).
33. I. Jensen, J. Phys. A 32, 5233 (1999).
34. J. Bronzan, J. Dash, Phys. Lett. B 51, 496 (1974).
35. F. Schlögl, Z. Phys. A 253, 147 (1972).
36. M. Moshe, Phys. Rep. C 37, 257 (1978).
37. P. Grassberger, K. Sundermeyer, Phys. Lett. B 77, 220 (1978).
38. H.D.I. Arbabanel, J.B. Bronzan, Phys. Rev. D 9, 2397 (1974).
39. J.L. Cardy, R.L. Sugar, J. Phys. A 13, L423 (1980).
40. M. Henkel, R. Peschanski, Nucl. Phys. B 390, 637 (1993).
41. W. Kinzel, Z. Phys. B 58, 229 (1985).
42. E. Domany W. Kinzel, Phys. Rev. Lett. 53, 311 (1984).
43. R.M. Ziff, E. Gulari, Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
44. G. Grinstein, Z.-W. Lai, D.A. Browne, Phys. Rev. A 40, 4820 (1989).
45. I. Jensen, H. Fogedby, R. Dickman, Phys. Rev. A 41, 3411 (1990).
46. T. Aukrust, D.A. Browne, I. Webman, Phys. Rev. A 41, 5294 (1990).
47. S.V. Buldyrev et al., Phys. Rev. A 45, R8313 (1992).
48. L.-H. Tang, H. Leschhorn, Phys. Rev. A 45, R8309 (1992).
49. M. Kardar, G. Parisi, Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
50. T. Halpin-Healy, Y.-C. Zhang, Phys. Rep. 254, 215 (1995).
51. D.A. Huse, C.L. Henley, Phys. Rev. Lett. 54, 2708 (1985).
52. D.S. Fisher, D.A. Huse, C.L. Henley, Phys. Rev. Lett. 55, 2924 (1985).
53. E. Perlsman, S. Havlin, Europhys. Lett. 46, 13 (1999).
54. H.K. Janssen, Phys. Rev. E 55, 6253 (1997).
55. A.G. Moreira, R. Dickman, Phys. Rev. E 54, R3090 (1996).
56. J. Hooyberghs, F. Iglói, C. Vanderzande, Phys. Rev. Lett. 90, 100601 (2003).
57. M. Ehsasi et al., J. Chem. Phys. 91, 4949 (1989).
58. R. Hilfer, T. Rage, B. Virgin, Physica A 241, 105 (1997).
59. H. Téphany, J. Nahmias, J.A.M.S. Duarte, Physica A 242, 57 (1997).
60. J. Wintterlin et al., Science 278, 1931 (1997).
61. A. Daerr, S. Douady, Nature 399, 241 (1999).
62. H. Hinrichsen, A. Jiménez-Dalmaroni, Y. Rozov, E. Domany, Phys. Rev. Lett. 83, 4999 (1999).
63. J.W. Essam, J. Phys. A 22, 4927 (1989).
64. P. Rupp, R. Richter, I. Rehberg, Phys. Rev. E 67, 036209 (2003).
65. Y. Pomeau, Physica D 23, 3 (1986).
66. Y. Cuche, R. Livi, A. Politi, Physica D 103, 369 (1997).
67. M. Bramson, L. Gray, Z. Wahrsch. Gebiete 68, 447 (1985).
68. P. Grassberger, F. Krause, T. von der Twer, J. Phys. A 17, L105 (1984).
69. H. Takayasu, A.Y Tretyakov, Phys. Rev. Lett. 68, 3060 (1992).
70. I. Jensen, J. Phys. A 26, 3921 (1993).
71. I. Jensen, Phys. Rev. E 50, 3623 (1994).
72. D. ben Avraham, F. Leyvraz, S. Redner, Phys. Rev. E 50, 1843 (1994).
73. J.L. Cardy, U.C. Täuber, Phys. Rev. Lett. 77, 4780 (1996).
74. J.L. Cardy, U.C. Täuber, J. Stat. Phys. 90, 1 (1998).
75. G. Odor, Rev. Mod. Phys. 76, 663 (2004).
76. B.P. Lee, J. Phys. A 27, 2633 (1994).
77. B.P. Lee, J.L. Cardy, J. Stat. Phys. 80, 971 (1995).
78. M. Henkel, E. Orlandini, G.M. Schütz, J. Phys. A 28, 6335 (1995).
79. I. Jensen, Phys. Rev. E 47, R1 (1993).
80. U.C. Täuber, Critical dynamics. A field theory approach to equilibrium and non-equilibrium scaling behavior, http://www.phys.vt.edu/ ~tauber/utaeuber.html.
81. C. De Dominicis, L. Peliti, Phys. Rev. B 18, 353 (1978).
82. D. Hochberg, C. Molina-París, J. Pérez-Mercader, M. Visser, Phys. Rev. E 60, 6343 (1999).
83. D. Hochberg, C. Molina-París, J. Pérez-Mercader, M. Visser, Physica A 280, 437 (2000).
84. M. Doi, J. Phys. A 9, 1465 (1976).
85. B.P. Lee, Ph.D. thesis, University of California, 1994.
86. J.L. Cardy, Proceedings of Mathematical Beauty of Physics, édité par J.-B. Zuber (Adv. Ser. in Math. Phys., 1996), Vol. 24, p. 4780.
87. M.J. Howard, U.C. Täuber, J. Phys. A: Math. Gen. 30, 7721 (1997).
88. H.J. Hilhorst, O. Deloubrière, M.J. Washenberger, U.C. Täuber, arXiv:cond-mat/0403246 (2004).
89. K.G. Wilson, J. Kogut, Phys. Rep. C 12, 75 (1974).
90. K.G. Wilson, Sci. Am. 241, 158 (1979).
91. L.P. Kadanoff, Physics 2, 263 (1966).
92. F. Wegner, A. Houghton, Phys. Rev. A 8, 401 (1973).
93. J. Polchinski, Nucl. Phys. B 231, 269 (1984).
94. J. Berges, N. Tetradis, C. Wetterich, Phys. Rep. 363, 223 (2002).
95. C. Bagnuls, C. Bervillier, Phys. Rep. 348, 91 (2001).
96. B. Delamotte, D. Mouhanna, M. Tissier, Phys. Rev. B 69, 134413 (2004).
97. L. Canet, Ph.D. thesis, Université Paris VII Denis Diderot (http://tel.ccsd.cnrs.fr/documents/archives0/00/00/69/19/index_fr.html), 2004.
98. N. Tetradis, C. Wetterich, Nucl. Phys. B [FS] 422, 541 (1994).
99. L. Canet, B. Delamotte, D. Mouhanna, J. Vidal, Phys. Rev. D 67, 065004 (2003).
100. L. Canet, B. Delamotte, D. Mouhanna, J. Vidal, Phys. Rev. B 68, 064421 (2003).
101. L. Canet, arXiv:hep-th/0409 (2004).
102. F. van Wrjland, K. Oerding, H.J. Hilhorst, Physica A 251, 179 (1998).
103. D.F. Litim, Nucl. Phys. B 631, 128 (2002).
104. S. Liao, J. Polonyi, M. Strickland, Nucl. Phys. B 567, 493 (2000).
105. D.F. Litim, Phys. Rev. D 64, 105007 (2001).
106. S. Seide, C. Wetterich, Nucl. Phys. B 562, 524 (1999).
107. J. Kockelkoren, H. Chaté, Phys. Rev. Lett 90, 125701/1 (2003).
108. M.E. Fisher, J. Stat. Phys. 34, 665 (1984).
109. J.W. Essam, A. J.Guttmann, Phys. Rev. E 52, 5849 (1995).
110. G. Ódor, Phys. Rev. E 69, 036112 (2004).
111. G. Ódor, arXiv:cond-mat/0406233 (2004).
112. E. Carlon, M. Henkel, U. Schollwöck, Phys. Rev. E 63, 036101 (2001).
113. H. Hinrichsen, Physica A 320, 249 (2003).
114. M. Henkel, H. Hinrichssen, arXiv:cond-mat/0402433 (2004).
115. E. Frey, U.C. Täuber, Phys. Rev. E 50, 1024 (1994).
116. K.J. Wiese, Proceedings of the International Conference of Theoretical Physics 2002, Paris, édité par D. Iagolnitzer, V. Rivasseau, J. Zinn-Justin (Birkhäuser Verlag, Basel, Boston, Berlin, 2002), arXiv:cond-mat/0302322.
117. C. Castellano et al., Phys. Rev. E 58, R5209 (1998).
118. E. Marinari, A. Pagnani, G. Parisi, Z. Rácz, Phys. Rev. E 65, 026136/1 (2002).
119. J. Cook, B. Derrida, J. Phys. A 23, 1523 (1990).
120. J.-P. Bouchaud, M.E. Cates, Phys. Rev. E 47, 1455 (1993).
121. M. Lässig, H. Kinzelbach, Phys. Rev. Lett. 78, 903 (1997).
122. D. Graham, Statistical theory of instabilities in stationary nonequilibrium systems with applications to lasers and non linear optics, Springer tracts in modern physics (Springer, Berlin, 1973), Vol. 66.
123. U. Deker, F. Haake, Phys. Rev. A 11, 2043 (1975).
124. J. Marro, R. Dickman, Nonequilibrium phase transitions in lattice models (Cambridge University Press, Cambridge, 1999).
125. F.C. Alcaraz, M. Droz, M. Henkel, V. Ritenberg, Ann. Phys. 230, 250 (1994).
126. J.M. Burgers, The Nonlinear Diffusion Equation (Riedel, Boston, 1974).