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 …

We revisit the problem of deriving the mean-field values of avalanche exponents in systems
with absorbing states. These are well known to coincide with those of unbiased branching …

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

We show that the stochastic field theory for directed percolation in the presence of an
additional conservation law [the conserved directed-percolation (C-DP) class] can be …

The role of correlations in self-organized critical (SOC) phenomena is investigated by
studying the Abelian Manna model (AMM) in two dimensions. Local correlations of the …

A dissipative stochastic sandpile model is constructed on one and two dimensional small-
world networks with shortcut density ϕ, ϕ= 0 represents a regular lattice whereas ϕ= 1 …

The average avalanche size can be calculated exactly in a number of models of self-
organized criticality (SOC). While the calculation is straight-forward in one dimension, it is …

We present extensive numerical simulations of Bak-Tang-Wiesenfeld (BTW) sandpile model
on the hypercubic lattice in the upper critical dimension D u= 4. After re-extracting the critical …

Although the paradigm of criticality is centered around spatial correlations and their
anomalous scaling, not many studies of self-organized criticality (SOC) focus on spatial …

A dissipative stochastic sandpile model is constructed and studied on small-world networks
in one and two dimensions with different shortcut densities ϕ, where ϕ= 0 represents regular …