We study the simple two-dimensional height sandpile model. The action of adding one grain of sand to a randomly chosen node as the first, we calculate the step-by-step probability of occurrence of avalanches of a given size. An avalanche determination method is devised that allows to determine...

Using data obtained in a laboratory thermal convection experiment at high Rayleigh numbers, it is shown that the multiscaling properties of the observed mean wind reversals are quantitatively consistent with analogous multiscaling properties of the Bak–Tang–Wiesenfeld prototype model of...

The problems of identifying and eliminating long transients are common to various numerical models in statistical mechanics. These problems are particularly relevant for models of self-organized criticality, as the Olami–Feder–Christensen (OFC) model, for which most of the results were, and...