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 …

This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

Universal scaling behavior is an attractive feature in statistical physics because a wide
range of models can be classified purely in terms of their collective behavior due to a …

We study two models with n equivalent absorbing states that generalize the Domany-Kinzel
cellular automaton and the contact process. Numerical investigations show that for n= 2 both …

In this paper, we emphasize three different techniques for the growth of fractal trees with a
desired fractal dimension D f. The three different growths are due to the influence of (i) …

The well-established universality classes of absorbing critical phenomena are directed
percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with …

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-
dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models …

We consider a system of particles undergoing the branching and annihilating reactions
A→(m+ 1) A and A+ A→∅, with m even. The particles move via long-range Lévy flights …

We investigate the phase diagram of branching annihilating random walks with one and two
offspring in one dimension. A walker can hop to a nearest neighbor site or branch with one …

We study a three species monomer-monomer catalytic surface reaction model with a
reactive steady state bordered by three equivalent unreactive phases where the surface is …