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; b) long-range correlations in the continuum limit (i.e. 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; Loreto, Vittorio; Pietronero, Luciano; A., Vespignani; S., Zapperi. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 29:2(1995), pp. 111-116. [10.1209/0295-5075/29/2/001]
LOCAL RIGIDITY AND SELF-ORGANIZED CRITICALITY FOR AVALANCHES
LORETO, Vittorio;PIETRONERO, Luciano;
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; b) long-range correlations in the continuum limit (i.e. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
