Universal scaling in wildfire fractal propagation

Applied Physics Letters

Volumn 93, Issue 20, 2008, Pages

  Porterie, Bernard ^a   Kaiss, Ahmed ^a   Clerc, Jean Pierre ^a   Zekri, Lotfi ^b   Zekri, Nouredine ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b UNIVERSITÉ DES SCIENCES ET DE LA TECHNOLOGIE D ORAN MOHAMED BOUDIAF   (Algeria)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTED COMPUTER SYSTEMS; FIRES; PERCOLATION (SOLID STATE); SMALL-WORLD NETWORKS; SOLVENTS;

CORRELATION LENGTHS; CRITICAL EXPONENT; DIRECTED PERCOLATION; ISOTROPIC PROPAGATION; LONG-RANGE CONNECTION; PERCOLATION THEORY; PROPAGATION TRANSITIONS; UNIVERSAL SCALING;

FRACTAL DIMENSION;

EID: 56849100694     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3030980     Document Type: Article

References (23)

1. G. Caldarelli, R. Frondoni, A. Gabrielli, M. Montuori, R. Retzlaff, and C. Ricotta, Europhys. Lett. 0295-5075 10.1209/epl/i2001-00549-4 56, 510 (2001).
2. G. Albinet, G. Searby, and D. Stauffer, J. Phys. 47, 1 (1986). 1742-6588
3. H. T́phany, J. Nahmias, and J. A. M. S. Duarte, Physica A 0378-4371 10.1016/S0378-4371(97)00202-1 242, 57 (1997).
4. G. L. Ball and D. P. Guertin, Int. J. Wildland Fire. 2, 47 (1992).
5. F. J. Barros and M. T. Mendes, Simul. Pract. Theory. 5, 185 (1997).
6. P. G. de Gennes, Recherche 7, 919 (1976).
7. J. A. M. S. Duarte, in Annual Reviews of Computational Physics, edited by, D. Stauffer, (World Scientific, Singapore, 1997).
8. M. E. J. Newman, I. Jensen, and R. M. Ziff, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.021904 65, 021904 (2002).
9. D. J. Watts and S. H. Strogatz, Nature (London) 0028-0836 10.1038/30918 393, 440 (1998).
10. N. Zekri, B. Porterie, J. P. Clerc, and J. C. Loraud, Phys. Rev. E 1063-651X 10.1103/PhysRevE.71.046121 71, 046121 (2005).
11. M. E. J. Newman, SIAM Rev. 0036-1445 10.1137/S003614450342480 45, 167 (2003).
12. B. Porterie, N. Zekri, J. P. Clerc, and J. C. Loraud, Combust. Flame 149, 63 (2007). 0010-2180
13. J. P. Straley, J. Phys. C 0022-3719 10.1088/0022-3719/15/11/014 15, 2343 (1982).
14. P. N. Sen, J. N. Roberts, and B. I. Halperin, Phys. Rev. B 0163-1829 10.1103/PhysRevB.32.3306 32, 3306 (1985).
15. R. Metzler and J. Klafter, Phys. Rep. 0370-1573 10.1016/S0370-1573(00) 00070-3 339, 1 (2000).
16. J. P. Bouchaud and A. Georges, Phys. Rep. 0370-1573 10.1016/0370-1573(90) 90099-N 195, 127 (1990).
17. L. Trabaud, Oecol. Plant.. 11, 117 (1976).
18. E. Koo, P. Pagni, S. Stephens, J. Huff, J. Woycheese, and D. Weise, Fire Saf. Sci.. 8, 851 (2005).
19. J. C. Drouet, Ph.D. thesis, Universit́ de Provence, 1972.
20. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1994).
21. V. Loreto, L. Pietronero, A. Vespignani, and S. Zapperi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.75.465 75, 465 (1995).
22. E. Guyon, J. P. Clerc, G. Giraud, and J. Roussenq, J. Phys. 42, 1553 (1981). 1742-6588
23. H. Hinrichsen, Adv. Phys. 0001-8732 10.1080/00018730050198152 49, 815 (2000).