Nonlinear reactive systems on a lattice viewed as Boolean dynamical systems

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

Volumn 63, Issue 4, 2001, Pages

  Abad, E ^a   Grosfils, P ^a   Nicolis, G ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOOLEAN ALGEBRA; COMPUTER SIMULATION; CORRELATION THEORY; DESORPTION; MONTE CARLO METHODS;

CELLULAR AUTOMATION (CA) MODELS;

CRYSTAL LATTICES;

EID: 0035304323     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.041102     Document Type: Article

References (39)

1. E. V. Albano, Heterog. Chem. Rev. 3, 389 (1996).
2. J. P. Boon, D. Dab, R. Kapral, and A. Lawniczak, Phys. Rep. 173, 55 (1996).
3. R. Thomas and R. D’Ari, Biological Feedback (CRC, Boca Raton, FL, 1990).
4. T. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985).
5. A. S. Mikhailov and A. Y. Loskutov, Foundations of Synergetics (Springer, Berlin, 1996).
6. D. C. Mattis and M. L. Glasser, Rev. Mod. Phys. 70, 979 (1998).
7. E. R. Cohen and H. Reiss, J. Chem. Phys. 38, 680 (1963).
8. H. Schnoerer, V. Kuzovkov, and A. Blumen, Phys. Rev. Lett. 63, 805 (1989).
9. H. Schnoerer, V. Kuzovkov, and A. Blumen, J. Chem. Phys. 92, 2310 (1990).
10. S. N. Majumdar and V. Privman, J. Phys. A 26, L743 (1993).
11. A. Provata, J. W. Turner, and G. Nicolis, J. Stat. Phys. 70, 1195 (1993).
12. S. Prakash and G. Nicolis, J. Stat. Phys. 82, 297 (1996).
13. V. M. Kenkre and H. M. Van Horn, Phys. Rev. A 23, 3200 (1981).
14. F. Baras, F. Vikas, and G. Nicolis, Phys. Rev. E 60, 3797 (1999).
15. E. I. Jury, Theory and Applications of the z-Transform (Wiley, New York, 1964).
16. J. W. Evans, Rev. Mod. Phys. 65, 1281 (1993).
17. Y. Fan and J. K. Perkus, Phys. Rev. A 44, 5099 (1991).
18. M. C. Bartelt and V. Privman, Int. J. Mod. Phys. B 5, 2883 (1991).
19. P. J. Flory, J. Am. Chem. Soc. 61, 1518 (1939).
20. J. W. Evans, D. R. Burgess, and D. K. Hoffman, J. Math. Phys. 25, 3051 (1984).
21. M. Bowker, The Basis and Applications of Heterogeneous Catalysis (Oxford University Press, Oxford, 1998).
22. V. P. Zdhanov, Elementary Physicochemical Processes on Surfaces (Plenum, New York 1991).
23. V. M. Kenkre, Phys. Rev. B 22, 2089 (1980).
24. R. Kopelman, Science 241, 1620 (1988).
25. J. L. Jackson and E. W. Montroll, J. Chem. Phys. 28, 1101 (1958).
26. A. Sudbury, Ann. Prob. 18, 581 (1990).
27. S. Redner and K. Kang, Phys. Rev. A 32, 435 (1985).
28. J. L. Spouge, Phys. Rev. Lett. 60, 871 (1988).
29. A. A. Lushnikov, Phys. Lett. A 120, 135 (1987).
30. F. Family and J. G. Amar, J. Stat. Phys. 65, 1235 (1991).
31. E. Abad, H. L. Frisch, and G. Nicolis, J. Stat. Phys. 99, 1397 (2000).
32. D. ben-Avraham, M. Burschka, and C. Doering, J. Stat. Phys. 60, 695 (1990).
33. V. Privman, Phys. Rev. E 50, 50 (1994).
34. J. W. Evans, J. Math. Phys. 25, 2527 (1984).
35. F. C. Alcaraz, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. (N.Y.) 230, 250 (1994).
36. M. Schulz and S. Trimper, J. Phys. A 29, 6543 (1996).
37. A. Provata, G. Nicolis, and F. Baras, J. Chem. Phys. 110, 8361 (1999).
38. R. M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
39. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).