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Self-organized criticality in non-conservative models

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  • Bak, Per

Abstract

Some recent results on non-conservative models of self-organized criticality are reviewed and discussed. A class of deterministic models introduced by Olami, Feder and Christensen exhibits 1f noise with an exponent which depends on the degree of conservation. The “Game of Life”, a cellular automation mimicking a society of interacting organisms, also appears to evolve to a critical state, with avalanches obeying finite size scaling.

Suggested Citation

  • Bak, Per, 1992. "Self-organized criticality in non-conservative models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 41-46.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:41-46
    DOI: 10.1016/0378-4371(92)90503-I
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    1. Johnsen, D Bruce, 1991. "Property Rights to Cartel Rents: The Socony-Vacuum Story," Journal of Law and Economics, University of Chicago Press, vol. 34(1), pages 177-203, April.
    2. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
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    2. Sun-Chong Wang & Sai-Ping Li & Chung-Ching Tai & Shu-Heng Che, 2009. "Statistical properties of an experimental political futures market," Quantitative Finance, Taylor & Francis Journals, vol. 9(1), pages 9-16.

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