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.
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Received 16 November 2000
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Pastor-Satorras, R., Vespignani, A. Reaction-diffusion system with self-organized critical behavior. Eur. Phys. J. B 19, 583–587 (2001). https://doi.org/10.1007/PL00011091