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Criticality in driven cellular automata with defects

✍ Scribed by Bosiljka Tadić; Ramakrishna Ramaswamy

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
489 KB
Volume
224
Category
Article
ISSN
0378-4371

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✦ Synopsis

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.

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✍ Kari Eloranta 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 523 KB

We study a one-parameter family of probabilistic cellular automata on square and triangular lattices. Above a critical parameter value a new dominant invariant phase appears resulting in domain growth. In the growth regime a second critical threshold is found above which domains grow at a maximal ra