Critical properties of the reaction-diffusion model [Formula Presented]

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 3, 2001, Pages

  Carlon, Enrico ^a,b   Henkel, Malte ^a   Schollwöck, Ulrich ^c  

^a INSTITUT JEAN LAMOUR   (France)

^b UNIVERSITY OF PADOVA   (Italy)

^c UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035270987     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036101     Document Type: Article

References (56)

1. Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1996).
2. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
3. H. Hinrichsen, Adv. Phys. 49, 1 (2000).
4. J. Cardy and U. C. Täuber, Phys. Rev. Lett. 77, 4780 (1996);
5. J. CardyU. C. TäuberJ. Stat. Phys. 90, 1 (1998);
6. D. C. Mattis and M. L. Glasser, Rev. Mod. Phys. 70, 979 (1998).
7. D. Kandel, E. Domany, and B. Nienhuis, J. Phys. A 23, L755 (1990);
8. F. C. Alcaraz, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. (N.Y.) 230, 250 (1994);
9. I. Peschel, U. Schultze, and V. Rittenberg, Nucl. Phys. B 430, 633 (1995);
10. P.-A. Bares and M. Mobilia, Phys. Rev. Lett. 83, 5214 (1999);
11. Phys. Rev. Lett.P.-A. BaresM. Mobilia85, 893 (2000);
12. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz, Vol. 19 (Academic Press, New York, 2000).
13. B. Chopard and M. Droz, Cellular Automata Modelling of Physical Systems (Cambridge University Press, Cambridge, 1998).
14. M. Henkel and H. Herrmann, J. Phys. A 23, 3719 (1990);
15. J. R. G. de Mendonça, Phys. Rev. E 60, 1329 (1999).
16. J. R. G. de Mendona̧, J. Phys. A 32, L467 (1999).
17. E. Carlon, M. Henkel, and U. Schollwöck, Eur. Phys. J. B 12, 99 (1999).
18. J. Hooyberghs and C. Vanderzande, J. Phys. A 33, 907 (2000).
19. M. J. Howard and U. C. Täuber, J. Phys. A 30, 7721 (1997).
20. I. Jensen, Phys. Rev. Lett. 70, 1465 (1993).
21. R. Dickman and J. Kamphorst Leal da Silva, Phys. Rev. E 58, 4266 (1998).
22. S. R. White, Phys. Rev. Lett. 69, 2863 (1992);
23. S. R. WhitePhys. Rev. B 48, 10 345 (1993).
24. Density Matrix Renormalization: A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Heidelberg, 1999).
25. R. J. Bursill, T. Xiang, and G. A. Gehring, J. Phys.: Condens. Matter 8, L583 (1996);
26. X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997);
27. N. Shibata, J. Phys. Soc. Jpn. 66, 2221 (1997);
28. K. Maisinger and U. Schollwöck, Phys. Rev. Lett. 81, 445 (1998).
29. Y. Hieida, J. Phys. Soc. Jpn. 67, 369 (1998).
30. M. Kaulke and I. Peschel, Eur. Phys. J. B 5, 727 (1998).
31. Ö. Legeza, M. Kaulke, and I. Peschel, Ann. Phys. (Leipzig) 8, 153 (1999).
32. J. Kondev and J. B. Marston, Nucl. Phys. B 497, 639 (1997);
33. J. B. Marston and Shan-Wen Tsai, Phys. Rev. Lett. 82, 4906 (1999);
34. T. Senthil, J. B. Marston, and M. P. A. Fisher, Phys. Rev. B 60, 4245 (1999);
35. Shan-Wen Tsai and J. B. Marston, Ann. Phys. (Leipzig) 8, 261 (1999).
36. L. Peliti, J. Phys. A 19, L365 (1986).
37. B. P. Lee, J. Phys. A 27, 2633 (1994).
38. I. Jensen and R. Dickman, Phys. Rev. E 48, 1710 (1993);
39. J. F. F. Mendes, R. Dickman, M. Henkel, and M. C. Marques, J. Phys. A 27, 3019 (1994);
40. M. A. Munõz, G. Grinstein, R. Dickman, and R. Livi, Phys. Rev. Lett. 76, 451 (1996);
41. P. Grassberger, H. Chaté, and G. Rousseau, Phys. Rev. E 55, 2488 (1997).
42. R. Dickman, e-print cond-mat/9909347.
43. H. K. Janssen, Z. Phys. B: Condens. Matter 42, 151 (1981);
44. Z. Phys. B: Condens. MatterP. Grassberger, 47, 365 (1982).
45. H. Park and H. Park, Physica A 221, 97 (1995).
46. R. Burlisch and J. Stoer, Numer. Math. 6, 413 (1964);
47. M. Henkel and G. Schütz, J. Phys. A 21, 2617 (1988).
48. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984);
49. J. Phys. AP. Grassberger, 22, L1103 (1989).
50. N. Menyhárd, J. Phys. A 27, 6139 (1994).
51. N. Inui and A. Yu. Tretyakov, Phys. Rev. Lett. 80, 5148 (1998);
52. M. C. Marques and J. F. F. Mendes, Eur. Phys. J. B 12, 123 (1999).
53. H. Hinrichsen, Phys. Rev. E 55, 219 (1997).
54. H. Hinrichsen, following article, Phys. Rev. E 63, 036102 (2001).
55. G. Ódor, Phys. Rev. E (to be published).
56. M. Barma, M. D. Grynberg, and R. B. Stinchcombe, Phys. Rev. Lett. 70, 1033 (1993).