Role of weighting and long-range connections on the dynamics of front propagation
Université des Sciences et de la Technologie d’Oran Mohamed Boudiaf, Département de Physique, LEPM, BP 1505 El Mnaouer, Oran, Alger
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Percolation and non-equilibrium front propagation in a two-dimensional network modeling wildfire spread is studied. The model includes two long-range interactions; a deterministic and a probabilistic one induced by firebrand emission. It includes also a time weighting process. Three weight-dependent regimes were found previously; dynamical, static, and non-propagative regime . In the absence of probabilistic interaction, the percolation threshold dependence on the weight does not depend on the deterministic interaction. The dynamical regime is found to belong to the dynamical percolation universality class and the static regime to the random deposition class. In the presence of probabilistic interactions, a minimum percolation threshold is found due to the scaling effects. The dynamical exponents belong to a new universality class.
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