Robustness of scale invariance in models with self-organized criticality

Osame Kinouchi and Carmen P. C. Prado
Phys. Rev. E 59, 4964 – Published 1 May 1999
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Abstract

A random-neighbor extremal stick-slip model is introduced. In the thermodynamic limit, the distribution of states has a simple analytical form and the mean avalanche size, as a function of the coupling parameter, is exactly calculable. The system is critical only at a special point Jc in coupling parameter space. However, the critical region around this point, where approximate scale invariance holds, is very large, suggesting a mechanism for explaining the ubiquity of power laws in nature.

  • Received 5 October 1998

DOI:https://doi.org/10.1103/PhysRevE.59.4964

©1999 American Physical Society

Authors & Affiliations

Osame Kinouchi*

  • Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes 3900, CEP 14040-901, Ribeirão Preto, SP, Brazil

Carmen P. C. Prado

  • Departamento de Física Geral, Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, CEP 05315-970, São Paulo, SP, Brazil

  • *Electronic address: osame@dfm.ffclrp.usp.br
  • Electronic address: prado@if.usp.br

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Vol. 59, Iss. 5 — May 1999

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