Self-organized states in cellular automata: Exact solution

Journal Article · Sun Nov 01 00:00:00 EST 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.6824· OSTI ID:664706

Medvedev, M V ^[1]; Diamond, P H ^[2]

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1. Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, Massachusetts 02138 (United States)
2. Physics Department, University of California at San Diego, La Jolla, California 92093 (United States)

The spatial structure, fluctuations as well as all state probabilities of self-organized (steady) states of cellular automata can be found (almost) exactly and {ital explicitly} from their Markovian dynamics. The method is shown on an example of a natural sand pile model with a gradient threshold. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 664706
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, Issue 5; Other Information: PBD: Nov 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SAND
FLUCTUATIONS
MARKOV PROCESS
STABILITY