Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes

Zeev Olami, Hans Jacob S. Feder, and Kim Christensen
Phys. Rev. Lett. 68, 1244 – Published 24 February 1992
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Abstract

We introduce a new nonconservative self-organized critical model. This model is equivalent to a quasistatic two-dimensional version of the Burridge-Knopoff spring-block model of earthquakes. Our model displays a robust power-law behavior. The exponent is not universal; rather it depends on the level of conservation. A dynamical phase transition from localized to nonlocalized behavior is seen as the level of conservation is increased. The model gives a good prediction of the Gutenberg-Richter law and an explanation to the variances in the observed b values.

  • Received 19 August 1991

DOI:https://doi.org/10.1103/PhysRevLett.68.1244

©1992 American Physical Society

Authors & Affiliations

Zeev Olami, Hans Jacob S. Feder, and Kim Christensen

  • Department of Physics, Brookhaven National Laboratory, Upton, New York 11973

Comments & Replies

Christensen replies

Kim Christensen
Phys. Rev. Lett. 71, 1289 (1993)

Comment on ‘‘Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes’’

W. Klein and J. Rundle
Phys. Rev. Lett. 71, 1288 (1993)

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Issue

Vol. 68, Iss. 8 — 24 February 1992

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