Long-range effects in granular avalanching

PABLO GLEISER; SERGIO CANNAS; FRANCISCO TAMARIT; BO ZHENG

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Año: 2001 vol. 63

1063-651X

hrough a long-range rolling probability for the individual rice grains proportional to r2r , r being the distance traveled by a grain in a single toppling event. The exponent r controls the average rolling distance. We haveshown 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,r,2, where the average rolling distance grows as a power law with the system size, while power law distributions are associated with a short-range regime for r.2, where the average rolling distance is independent of the system size.