Phys. Rev. Lett. 63, 1659–1662 (1989)Exactly solved model of self-organized critical phenomenaReceived 10 May 1989; published in the issue dated 16 October 1989 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. © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.63.1659
DOI:
10.1103/PhysRevLett.63.1659
PACS:
05.40.+j, 05.60.+w, 46.10.+z, 64.60.-i
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