Power laws and distributions with heavy tails are common features of many complex
systems. Examples are the distribution of earthquake magnitudes, solar flare intensities and …

Introduced by the late Per Bak and his colleagues, self-organized criticality (SOC) has been
one of the most stimulating concepts to come out of statistical mechanics and condensed …

" When Bak, Tang, and Wiesenfeld (1987) coined the term Self-Organised Criticality (SOC),
it was an explanation for an unexpected observation of scale invariance and at the same …

Shortly after the seminal paper “Self-Organized Criticality: An explanation of 1/f noise” by
Bak et al.(1987), the idea has been applied to solar physics, in “Avalanches and the …

Recent experiments on cortical neural networks have revealed the existence of well-defined
avalanches of electrical activity. Such avalanches have been claimed to be generically scale …

The existence of true scale-invariance in slowly driven models of self-organized criticality
without a conservation law, such as forest-fires or earthquake automata, is scrutinized in this …

The following chapter provides an overview of the techniques used to understand Self-
Organised Criticality (SOC) by performing computer simulations. Those are of particular …

A cellular automaton model of pulsar glitches is described, based on the superfluid vortex
unpinning paradigm. Recent analyses of pulsar glitch data suggest that glitches result from …

In a recent work, mean-field analysis and computer simulations were employed to analyze
critical self-organization in networks of excitable cellular automata where randomly chosen …

We introduce a new model for an earthquake fault system that is composed of noninteracting
simple lattice models with different levels of damage denoted by q. The undamaged lattice …