This article reviews our present knowledge of universality classes in nonequilibrium systems
defined on regular lattices. The first section presents the most important critical exponents …

We review recent progress on the zero-range process, a model of interacting particles which
hop between the sites of a lattice with rates that depend on the occupancy of the departure …

We study a two-dimensional ferromagnetic Ising model in which spins are updated using
modified versions of the Metropolis and Glauber algorithms. These update rules do not obey …

We present a biased review of some of the most'spectacular'effects appearing in the
dynamics of granular gases where the dissipative nature of the collisions leads to a rich …

The spontaneous clustering of a vibrofluidized granular gas is employed to generate
directed transport in two different compartmentalized systems: a granular fountain in which …

We study a zero-range process where the jump rates do not only depend on the local
particle configuration, but also on the size of the system. Rigorous results on the …

The main characteristic of a granular gas, which makes it fundamentally different from
ordinary molecular gases, is its tendency to form clusters, ie to spontaneously separate into …

A preferential urn model, which is based on the concept “the rich get richer,” is proposed.
From a relationship between a nongrowing model for complex networks and the preferential …

Oscillatory phenomena of compartmentalized bidisperse granular gases are studied through
experiments, molecular dynamics simulations, and a flux model [Mikkelsen, Phys. Rev. E 70 …

We show that models used to describe granular clustering due to vertical shaking belong to
the class of zero-range processes. This correspondence allows us to derive analytically in …