Abstract
We discuss some recent results suggesting that certain spatially extended dynamical systems naturally evolve toward a state characterized by domains of all length scales. The analogy with second-order phase transitions has prompted the name “self-organized criticality” specific results are available for cellular automaton models, which can be thought of as caricatures of a sandpile undergoing avalances. The potential generality of the results stems from the very simple (nonlinear) diffusion dynamics governing the system.
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In addition to the papers in the present volume, see ref. 1.
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Wiesenfeld, K., Tang, C. & Bak, P. A physicist's sandbox. J Stat Phys 54, 1441–1458 (1989). https://doi.org/10.1007/BF01044728
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DOI: https://doi.org/10.1007/BF01044728