The histogram characteristics of perimeter polynomials for directed percolation

1986 ◽  
Vol 47 (3) ◽  
pp. 383-388 ◽  
Author(s):  
J.A.M.S. Duarte
Keyword(s):  
Directed Percolation ◽  
Perimeter Polynomials

scholarly journals Crossover from Isotropic to Directed Percolation

1997 ◽  
Vol 78 (10) ◽  
pp. 1850-1853 ◽  
Author(s):  
Per Fröjdh ◽  
Marcel den Nijs
Keyword(s):  
Directed Percolation

Fire spreading experiments on heterogeneous fuel beds. Applications of percolation theory

2000 ◽  
Vol 30 (8) ◽  
pp. 1318-1328 ◽  
Author(s):  
Jean Nahmias ◽  
Hervé Téphany ◽  
José Duarte ◽  
Sophie Letaconnoux
Keyword(s):  
Experimental Work ◽  
Percolation Theory ◽  
Dynamic Behaviour ◽  
Fire Spread ◽  
Directed Percolation ◽  
Final State ◽  
Critical Thresholds ◽  
Scale Models ◽  
Different Types ◽  
Fire Spreading

In the experimental work presented here, fire spread was studied through various laboratory and full-scale models containing different types of combustible and noncombustible materials. We have examined the dynamic behaviour of the flame front and the final state (after extinction) on randomly created heterogeneous zones, both with and without wind. The principal conclusion is that critical thresholds exist, for the ratio between combustible and noncombustible parts, at the transition between nonpropagation and propagation of the fire. This result is common to all types of spreading (with or without wind). The values of the critical thresholds in the nonwind-driven experiments are those of the percolation theory. The critical exponent, obtained for wind-driven experiments, is in accordance with current values suggested by the directed percolation approach.

Directed percolation, fractal roots and the Lee–Yang theorem

2001 ◽  
Vol 295 (1-2) ◽  
pp. 128-131 ◽  
Author(s):  
P.F Arndt ◽  
S.R Dahmen ◽  
H Hinrichsen
Keyword(s):  
Directed Percolation

scholarly journals Precise calculation of the threshold of various directed percolation models on a square lattice

2005 ◽  
Vol 38 (21) ◽  
pp. L413-L415
Author(s):  
Danyel J B Soares ◽  
José S AndradeJr ◽  
Hans J Herrmann
Keyword(s):  
Square Lattice ◽  
Directed Percolation ◽  
Precise Calculation
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