Reaction-diffusion system with self-organized critical behavior

Abstract

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.

5 pages, 7 EPS figures

Cited by in corpus (8)

• Universal scaling behavior of non-equilibrium phase transitions
• Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
• Confirming and extending the hypothesis of universality in sandpiles
• Avalanche exponents and corrections to scaling for a stochastic sandpile
• Langevin theory of absorbing phase transitions with a conserved magnitude
• Universality and a numerical ε-expansion of the Abelian Manna model below upper critical dimension
• The Abelian Manna model on two fractal lattices
• Directed Percolation with a Conserved Field and the Depinning Transition