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Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures
Published on: August 1, 2011
Long-range effects in granular avalanching
P M Gleiser1, S A Cannas, F A Tamarit
1Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina. pgleiser@fis.uncor.edu
Abstract:
We introduce a model for granular flow in a one-dimensional rice pile that incorporates rolling effects through a long-range rolling probability for the individual rice grains proportional to r(-rho), r being the distance traveled by a grain in a single toppling event. The exponent rho controls the average rolling distance. We have shown that the crossover from the power law to the stretched exponential behaviors observed experimentally in the granular dynamics of rice piles can be well described as a long-range effect resulting from a change in the transport properties of individual grains. We showed that stretched exponential avalanche distributions can be associated with a long-range regime for 1
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