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Computación y Sistemas
versión On-line ISSN 2007-9737versión impresa ISSN 1405-5546
Comp. y Sist. vol.8 no.2 Ciudad de México oct./dic. 2004
On Some Properties of the Sandpile Model of SelfOrganized Critical Systems
Sobre Algunas Propiedades del Modelo de la Pila de los Sistemas Críticamente Auto Organizados
Juan Carlos Chimal Eguía
Departamento de Posgrado, Escuela Superior de Cómputo Instituto Politécnico Nacional, U. P. Zacatenco C.P. 07738, México D.F., Mexico email : jchimale@ipn.mx
Article received on January 21, 2004
Accepted on August 10, 2004
Abstract
In this paper we analyze the sandpile model proposed by Bak, Tang and Wiesenfeld as the canonical example of selforganized critical systems. We find that the sandpilemodel can reproduce staircase graphics and also that the distribution of large avalanches recurrence times in this model is lognormal. We also find that the slope of cumulative activity characterize a "province" of generation of avalanches in the same way as the seismic or evolutionary provinces do.
Keywords: Sandpile, criticality, selforganization.
Resumen
En este artículo se analiza el modelo de la pila de arena propuesto por Bak, Tang y Weinselfed como ejemplo canónico de los sistemas críticamente autoorganizados. Encontramos que la pila de arena puede reproducir gráficas tipo escalera, así como que la distribución de tiempos de recurrencia en este modelo es lognormal. Hemos también encontrado que existe una pendiente característica de la actividad acumulada que caracteriza a una "provincia" de generación de avalanchas de la misma manera que se hace para provincias sísmicas o evolutivas.
Palabras Clave: Pila de arena, criticalidad, autoorganización.
PACS: 89.75.Da; 05.65.+b
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Acknowledgments
I thank to Dr. F. AnguloBrown for his valuable opinions and helpful discussions during the elaboration of this work and Rodrigo Velasco Pacheco for his computational support. Also this work was supported by COFAAIPN.
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