Sistemas que se autoorganizan críticamente: simulaciones y análisis : Simulación y estudio de variantes de la pila de arena bidimensional abeliana.

Abstract

The study of systems exhibiting self-organized criticality has gained popularity in the last 50 years due to the large number of systems that have been found to display this behavior (earthquakes, forest fires, economic crises, etc.), with the abelian sandpile model being one of the most paradigmatic examples of such systems. In this work, we investigate the abelian sandpile model while varying the distribution of grain falls and the position of sinks. It is observed that avalanches follow an exponential law and interevent times follow a power law, regardless of the different distributions of sinks and grain release considered. It is thus confirmed that changes in the distributions of sinks and grain release do not alter the essential characteristics of the model.