The general conditions for a sandpile system to evolve spontaneously into a critical state characterized by a power law distribution of avalanches or bursts are identified as: a) the existence of a stationary state with a global conservation law; 6) long-range correlations in the continuum limit (ie. Laplacian diffusive field); c) the existence of a local rigidity for the microscopic dynamics. These conditions permit a classification of the models that have been considered up to now and the identification of the local rigidity as a new basic parameter that can lead to various possible scenarios ranging continuously from SOC behaviour to standard diffusion.
Local rigidity and self-organized criticality for avalanches / R. Cafiero, V. Loreto, L. Pietronero, A. Vespignani, S. Zapperi. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 29:2(1995 Jan 10), pp. 111-116.
Local rigidity and self-organized criticality for avalanches
S. Zapperi
1995
Abstract
The general conditions for a sandpile system to evolve spontaneously into a critical state characterized by a power law distribution of avalanches or bursts are identified as: a) the existence of a stationary state with a global conservation law; 6) long-range correlations in the continuum limit (ie. Laplacian diffusive field); c) the existence of a local rigidity for the microscopic dynamics. These conditions permit a classification of the models that have been considered up to now and the identification of the local rigidity as a new basic parameter that can lead to various possible scenarios ranging continuously from SOC behaviour to standard diffusion.File | Dimensione | Formato | |
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