Avalanches, scaling, and coherent noise

M. E. J. Newman and Kim Sneppen
Phys. Rev. E 54, 6226 – Published 1 December 1996
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Abstract

We present a simple model of a dynamical system driven by externally imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a power-law size distribution. We explain the behavior of the model within a time-averaged approximation, and discuss its potential connection to the dynamics of earthquakes, the Gutenberg-Richter law, and to recent experiments on avalanches in rice piles.

  • Received 4 March 1996

DOI:https://doi.org/10.1103/PhysRevE.54.6226

©1996 American Physical Society

Authors & Affiliations

M. E. J. Newman

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501

Kim Sneppen

  • Nordita, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark

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Vol. 54, Iss. 6 — December 1996

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