Extended Instability Criteria in Isotropic and Anisotropic Energy Avalanches
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 distribution
functions for different lattice sizes show a scaling behaviour
which is ruled by a generalised multifractal scaling transformation.
For any question or comments
please click here to mail me a
message