Synchronization and coarsening (without self-organized criticality) in a forest-fire model

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

Volumn 66, Issue 1, 2002, Pages

  Chan, K E ^a   Krapivsky, P L ^a   Redner, S ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

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

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

ELASTICITY;

EID: 41349096002     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016122     Document Type: Article

References (28)

1. J.M. Greenberg and S.P. Hastings, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 34, 515 (1978).
2. P. Bak, K. Chen, and C. Tang, Phys. Lett. A 147, 297 (1990);
3. Phys. Lett. AK. Chen, P. Bak, and M. Jensen, 149, 207 (1990).
4. C.L. Henley, Bull. Am. Phys. Soc. 34, 838 (1989);
5. C.L. HenleyPhys. Rev. Lett. 71, 2741 (1993).
6. B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992);
7. for a review, see S. Clar, B. Drossel, and F. Schwabl, J. Phys.: Condens. Matter 8, 6803 (1996).
8. K. Christensen, H. Flyvbjerg, and Z. Olami, Phys. Rev. Lett. 71, 2737 (1993).
9. P. Grassberger, J. Phys. A 26, 2081 (1993).
10. S. Clar, K. Schenk, and F. Schwabl, Phys. Rev. E 55, 2174 (1997);
11. Phys. Rev. ES. Clar, B. Drossel, K. Schenk, and F. Schwabl, 56, 2467 (1997).
12. A. Honecker and I. Peschel, Physica A 239, 509 (1997).
13. K. Schenk, B. Drossel, and F. Schwabl, e-print cond-mat/0105121 (unpublished);
14. G. Pruessner and H.J. Jensen, Phys. Rev. E 65, 056707 (2002);
15. P. Grassberger, e-print cond-mat/0202022 (unpublished).
16. A. Johansen, Physica D 78, 186 (1994);
17. A. JohansenJ. Theor. Biol. 178, 45 (1996).
18. J.J. Tyson and J. Keener, Physica D 32, 327 (1988).
19. E. Meron, Phys. Rep. 218, 1 (1992).
20. P. Bak, K. Chen, and M. Paczuski, Phys. Rev. Lett. 86, 2475 (2001).
21. P. Grassberger and H. Kantz, J. Stat. Phys. 63, 685 (1991).
22. For a general review of coarsening, see, e.g., A.J. Bray, Adv. Phys. 43, 357 (1994).
23. B. Drossel, Phys. Rev. Lett. 76, 936 (1996).
24. For a general review of the rate equations of aggregation, see M.H. Ernst, in Fractals in Physics, edited by L. Pietronero and E. Tosatti (Elsevier, Amsterdam, 1986), p. 289.
25. P.G.J. van Dongen and M.H. Ernst, Phys. Rev. Lett. 54, 1396 (1985).
26. W.H. Press, B.P. Flannery, S.A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, England, 1986).
27. P.L. Krapivsky, S. Redner, and F. Leyvraz, Phys. Rev. E 51, 3977 (1995).
28. S.J. Cornell and A.J. Bray, Phys. Rev. E 54, 1153 (1996).