Self-organized criticality in a stochastic spring-block model

A stochastic spring-block model with both global correlation and local interaction is considered in terms of the cellular automaton. It is shown that there is a scaling relation [ital D]([Delta])[proportional to][Delta][sup [xi]]exp([minus][Delta]/[Delta][sub 0]) between the slip size [Delta] and it...

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Bibliographic Details
Published in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1993-07, Vol.48 (1), p.R21-R24
Main Authors: Lu, YN, Ding, EJ
Format: Article
Language:English
Subjects:
661300 > Other Aspects of Physical Science-- (1992-)
BOUNDARY CONDITIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CORRELATIONS
CRITICALITY
DISTRIBUTION
EARTHQUAKES
FRICTION
GEOTHERMAL ENERGY
PROBABILITY
SCALING LAWS
SEISMIC EVENTS 150600 > Geothermal Energy-- Environmental Aspects
SLIP
STOCHASTIC PROCESSES
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Summary:A stochastic spring-block model with both global correlation and local interaction is considered in terms of the cellular automaton. It is shown that there is a scaling relation [ital D]([Delta])[proportional to][Delta][sup [xi]]exp([minus][Delta]/[Delta][sub 0]) between the slip size [Delta] and its probability [ital D]([Delta]) with a universal exponent [xi]=[minus]1.5. The value of [Delta][sub 0] is nonuniversal. The behavior of this model is surprisingly close to the Gutenberg-Richter law and that of the recent experiment [H. J. S. Feder and J. Feder, Phys. Rev. Lett. 66, 2669 (1991)].
ISSN:1063-651X
1095-3787
DOI:10.1103/physreve.48.r21