Multispecies annihilating random walk transition at zero branching rate: Cluster scaling behavior in a spin model

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

Volumn 68, Issue 5 2, 2003, Pages 561061-561066

  Menyhárd, Nóra ^a   Ódor, Géza ^b  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

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

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; PHASE DIAGRAMS; RANDOM PROCESSES;

ANNIHILATION RATE; SPIN SYMMETRY;

PHASE TRANSITIONS;

EID: 0942289338     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. For a review, see J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1996); H. Hinrichsen, Adv. Phys. 49, 815 (2000); G. Ódor, Rev. Mod. Phys. (to be published), e-print cond-mat/0205644.
2. For a review, see J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1996); H. Hinrichsen, Adv. Phys. 49, 815 (2000); G. Ódor, Rev. Mod. Phys. (to be published), e-print cond-mat/0205644.
3. For a review, see J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1996); H. Hinrichsen, Adv. Phys. 49, 815 (2000); G. Ódor, Rev. Mod. Phys. (to be published), e-print cond-mat/0205644.
4. I. Jensen, Phys. Rev. E 50, 3623 (1994).
5. D. Zhong and D. ben-Avraham, Phys. Lett. A 209, 333 (1995).
6. M.H. Kim and H. Park, Phys. Rev. Lett. 73, 2579 (1994).
7. H. Park, M.H. Kim, and H. Park, Phys. Rev. E 52, 5664 (1995).
8. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984); P. Grassberger, ibid. 22, L1103 (1989).
9. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984); P. Grassberger, ibid. 22, L1103 (1989).
10. N. Menyhárd, J. Phys. A 27, 6139 (1994).
11. R.J. Glauber, J. Math. Phys. 4, 191 (1963).
12. See, e.g., K. Kawasaki, Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1972), Vol. 2, p. 443.
13. J. Cardy and U.C. Täuber, Phys. Rev. Lett. 77, 4780 (1996); J. Stat. Phys. 90, 1 (1998).
14. J. Cardy and U.C. Täuber, Phys. Rev. Lett. 77, 4780 (1996); J. Stat. Phys. 90, 1 (1998).
15. H. Park and H. Park, Physica A 221, 97 (1995).
16. N. Menyhárd and G. Ódor, J. Phys. A 29, 7739 (1996).
17. S.N. Majumdar, D.S. Dean, and P. Grassberger, Phys. Rev. Lett. 86, 2301 (2001).
18. N. Menyhárd and G. Ódor, Phys. Rev. E 66, 016127 (2002).
19. R. Dickman and Y. Tretyakov, Phys. Rev. E 52, 3218 (1995).
20. E. Domány and W. Kinzel, Phys. Rev. Lett. 53, 311 (1984).
21. J.F.F. Mendes, R. Dickman, M. Henkel, and M. Marques, J. Phys. A 27, 3019 (1994).
22. P. Grassberger and A. de la Torre, Ann. Phys. (N.Y.) 122, 373 (1979).
23. H.A. Gutowitz, J.D. Victor, and B.W. Knight, Physica D 28, 18 (1987).
24. R. Dickman, Phys. Rev. A 38, 2588 (1988).
25. R. Cafiero, A. Gabrielli, and M.A. Muñoz, Phys. Rev. E 57, 5060 (1998).
26. A.J. Noest, Phys. Rev. Lett. 57, 90 (1986); Phys. Rev. B 38, 2715 (1988).
27. A.J. Noest, Phys. Rev. Lett. 57, 90 (1986); Phys. Rev. B 38, 2715 (1988).