Extended instability criteria in isotropic and anisotropic energy avalanches

M. Georgoulis, R. Kluiving and L. Vlahos

Physica A: Statistical Mechanics and its Applications, 1995, vol. 218, issue 1, 191-213

Abstract: We demonstrate that adding extended instability criteria to 3D critical-slope sand-pile models has the effect of considerably enhancing the self-organized critical state displayed by these models. We present two extended models, an isotropic one which displays large energy-avalanches, and an anisotropic one which shows much shorter and much more frequent energy bursts. We illuminate the multifractal nature of the self-organised critical state in both extended models by finding a nontrivial spectrum of generalised correlation dimensions from the time series and by showing that the power-law regions of the distributions functions for different lattice sizes show a scaling behaviour which is ruled by a generalised multifractal scaling transformation.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:218:y:1995:i:1:p:191-213

DOI: 10.1016/0378-4371(95)00056-D

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