Percolation and fire spread with power-law flame radiations
Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf, Département de Physique, LEPM BP 1505 El Mnaouer, Oran, Algeria
Received: 21 March 2013
Accepted: 8 July 2013
Percolation and non-equilibrium front propagation in a two-dimensional network modeling wildfire spread is studied. The model includes a deterministic long-range interaction induced by flame radiation. It includes also a time weighting process due to the flame residence time and the activation (ignition) energy of the exposed combustible. For the square power decreasing radiation interaction, three weight-dependent regimes were previously found; a dynamical, a static, and a non-propagative regime (Zekri N. et al. Phys. Lett. A, 376 (2012) 2522). The weight effect on the percolation threshold is found here independent of the deterministic interaction. Using the Family-Vicsek scaling ansatz, the front dynamical exponents belong to the Edwards-Wilkinson model universality class at the saturation of the dynamical regime. They are weight dependent beyond saturation.
PACS: 64.60.ah – Percolation / 87.15.hj – Transport dynamics / 89.75.-k – Complex systems
© EPLA, 2013