Criticality in driven cellular automata with defects

Abstract

We study three models of driven sandpile-type automata in the presence of quenched random defects. When the dynamics is conservative, all these models, termed the random sites (A), random bonds (B), and random slopes (C), self-organize into a critical state. For Model C the concentration-dependent exponents are nonuniversal. In the case of nonconservative defects, the asymptotic state is subcritical. Possible defect-mediated nonequilibrium phase transitions are also discussed.

13 pages, Latex, 6 PostScript figures included, all uuencoded Z-compressed tar

References in corpus (1)

• Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators

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