Critical behavior of an even-offspringed branching and annihilating random-walk cellular automaton with spatial disorder

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 3, 2006, Pages

  Ódor, Géza ^a   Menyhárd, Nóra ^b  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EXPONENTIAL-SIZE DISTRIBUTION; NONEQUILIBRIUM PHASE TRANSITION; STOCHASTIC CELLULAR AUTOMATON;

COMPUTER SIMULATION; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

PHASE TRANSITIONS;

EID: 33645525844     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036130     Document Type: Article

References (46)

1. For references, see J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 1999).
2. For a review, see H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
3. For a recent review see G. Ódor, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.663 76, 663 (2004).
4. R. Kroon, H. Fleurent, and R. Sprik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.2462 47, 2462 (1993).
5. W. Kinzel, in Percolation Structures and Processes, edited by, G. Deutscher, R. Zallen, and, J. Adler, (Hilger, Bristol, 1983);
6. H. K. Janssen, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01319549 42, 151 (1981);
7. P. Grassberger, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01313803 47, 365 (1982).
8. P. Grassberger, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01313803 47, 365 (1982).
9. H. K. Janssen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.6253 55, 6253 (1997).
10. R. Cafiero, A. Gabrielli, and M. A. Muñoz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.5060 57, 5060 (1998).
11. J. Hooyberghs, F. Iglói, and Carlo Vanderzande, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066140 69, 066140 (2004).
12. T. Vojta and M. Dickison, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036126 72, 036126 (2005).
13. For a recent review, see F. Iglói and C. Monthus, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.006 412, 277 (2005).
14. A. B. Harris, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/9/009 7, 1671 (1974).
15. A. J. Noest, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.90 57, 90 (1986);
16. A. J. Noest, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.2715 38, 2715 (1988).
17. I. Jensen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/7/003 38, 1441 (2005).
18. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/3/003 17, L105 (1984).
19. H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3060 68, 3060 (1992).
20. I. Jensen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.3623 50, 3623 (1994).
21. N. Menyhárd, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/27/18/ 022 27, 6139 (1994).
22. M. H. Kim and H. Park, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2579 73, 2579 (1994).
23. D. Zhong and D. ben-Avraham, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00869-1 209, 333 (1995).
24. N. Menyhárd and G. Ódor, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/16/009 28, 4505 (1995).
25. K. E. Bassler and D. A. Browne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4094 77, 4094 (1996).
26. H. Hinrichsen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.219 55, 219 (1997).
27. D. Zhong, D. ben-Avraham, and M. A. Muñoz, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00303-4 35, 505 (2003).
28. G. Ódor and A. Szolnoki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066128 71, 066128 (2005).
29. J. L. Cardy and U. C. Täuber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4780 77, 4780 (1996);
30. J. L. Cardy and U. C. Täuber, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1023233431588 90, 1 (1998).
31. O. Al Hammal, H. Chaté, B. Delmotte, I. Dornic, and M. A. Muñoz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.100601 95, 100601 (2005).
32. N. Menyhárd and G. Ódor, Braz. J. Phys. BJPHE6 0103-9733 30, 113 (2000).
33. G. M. Schütz and K. Mussawisade, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.2563 57, 2563 (1998).
34. P. Le Doussal and C. Monthus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1212 60, 1212 (1999).
35. D. S. Fisher, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00498-1 263, 222 (1999).
36. C. Mandache and D. ben-Avraham, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.481365 112, 7735 (2000).
37. B. P. Lee, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/27/8/004 27, 2633 (1994).
38. L. Braunstein, H. O. Martin, M. D. Grynberg, and H. E. Roman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/5/009 25, L255 (1992).
39. S. Wiseman and E. Domany, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3469 52, 3469 (1995).
40. A. Aharony and A. B. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3700 77, 3700 (1996).
41. F. Pázmándi, R. T. Scalettar, and G. T. Zimányi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.5130 79, 5130 (1997).
42. S. Wiseman and E. Domany, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.22 81, 22 (1998);
43. S. Wiseman and E. Domany, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.2938 58, 2938 (1998).
44. A. Aharony, A. B. Harris, and S. Wiseman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.252 81, 252 (1998).
45. K. Bernardet, F. Pázmándi, and G. G. Batrouni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4477 84, 4477 (2000).
46. C. Monthus and T. Garel, J. Stat. Mech.: Theory Exp. 1742-5468 P12011 (2005).