One-dimensional nonequilibrium kinetic Ising models with local spin symmetry breaking: N-component branching annihilating random-walk transition at zero branching rate

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

Volumn 66, Issue 1, 2002, Pages

  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

ACCELERATION; APPROXIMATION THEORY; COMPUTER SIMULATION; GRANULAR MATERIALS; KINETIC THEORY; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MIXTURES; POLYNOMIALS; RANDOM PROCESSES; RELAXATION PROCESSES;

INELASTIC HARD SPHERE MODEL (IHS); INELASTIC MIXTURES; MAXWELL MODEL; MEAN-FIELD MODEL; POLYNOMIAL EXPANSION;

ELASTICITY;

EID: 41349113757     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016127     Document Type: Article

References (33)

1. R. J. Glauber, J. Math. Phys. 4, 191 (1963).
2. See e.g., K. Kawasaki, Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1972), Vol. 2, p. 443.
3. Z. Rácz, in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1996).
4. J. Cardy and U. Täuber, Phys. Rev. Lett. 77, 4780 (1996).
5. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984);
6. J. Phys. AP. Grassberger, 22, L1103 (1989).
7. N. Menyhárd, J. Phys. A 27, 6139 (1994).
8. N. Menyhárd and G. Ódor, Braz. J. Phys. 30, 113 (2000).
9. H. Takayasu, A. Yu Tretyakov, Phys. Rev. Lett. 68, 3060 (1992).
10. I. Jensen, Phys. Rev. E 47, R1 (1993).
11. I. Jensen, Phys. Rev. E 50, 3623 (1994).
12. D. Zhong and D. ben-Avraham, Phys. Lett. A 209, 333 (1995).
13. M. H. Kim and H. Park, Phys. Rev. Lett. 73, 2579 (1994).
14. H. Park, M. H. Kim, and H. Park, Phys. Rev. E 52, 5664 (1995).
15. H. Park and H. Park, Physica A 221, 97 (1995).
16. For a review see, J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1996);
17. H. Hinrichsen, Adv. Phys. 49, 815 (2000).
18. S. N. Majumdar, D. S. Dean, and P. Grassberger, Phys. Rev. Lett. 86, 2301 (2001).
19. S. Kwon, J. Lee, and H. Park, Phys. Rev. Lett. 85, 1682 (2000).
20. G. Ódor, Phys. Rev. E 63, 021113 (2001).
21. G. Ódor, Phys. Rev. E 63, 056108 (2001).
22. G. Ódor, Phys. Rev. E 65, 026121 (2002).
23. J. Hooyberghs, E. Carlon, and C. Vanderzande, Phys. Rev. E 64, 036124 (2001).
24. G. Ódor and N. Menyhárd, Phys. Rev. E 61, 6404 (2000).
25. H. A. Gutowitz, J. D. Victor, and B. W. Knight, Physica D 28, 18 (1987).
26. R. Dickman, Phys. Rev. A 38, 2588 (1988).
27. G. Ódor and A. Szolnoki, Phys. Rev. E 53, 2231 (1996).
28. N. Menyhárd and G. Ódor, J. Phys. A 28, 4505 (1995).
29. N. Menyhárd and G. Ódor, J. Phys. A 29, 7739 (1995).
30. E. Carlon, M. Henkel, and U. Schollwöck, Phys. Rev. E 63, 036101 (2001).
31. G. Ódor, M. C. Marques, and M. A. Santos, Phys. Rev. E 65, 056113 (2002).
32. T. Aukrust, D. A. Browne, and I. Webman, Phys. Rev. A 41, 5294 (1990).
33. E. Domany and W. Kinzel, Phys. Rev. Lett. 53, 311 (1984).