Exactly solved model of self-organized critical phenomena

Dhar, Deepak ; Ramaswamy, Ramakrishna (1989) Exactly solved model of self-organized critical phenomena Physical Review Letters, 63 (16). pp. 1659-1662. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v63/i16/p1659_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.63.1659


We define a variant of the model of Bak, Tang, and Wiesenfeld of self-organized critial behavior by introducing a preferred direction. We characterize the critical state and, by establishing equivalence to a voter model, determine the critical exponents exactly in arbitrary dimension d. The upper critical dimension for this model is three. In two dimensions the model is equivalent to an earlier solved special case of directed percolation.

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ID Code:9294
Deposited On:02 Nov 2010 12:33
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