Reaction-diffusion system with self-organized critical behavior
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We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general mechanism to generate self-organized criticality in conserving systems. Extensive simulations in d = 2 and 3 reveal critical exponents compatible with the universality class of the stochastic Manna sandpile model.
CitationPastor-Satorras, R., Vespignani, A. Reaction-diffusion system with self-organized critical behavior. "European physical journal B", Gener 2001, vol. 19, núm. 4, p. 583-587.