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 review the critical behavior of nonequilibrium systems, such as directed percolation (DP)
and branching-annihilating random walks (BARW), which possess phase transitions into …

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 …

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero
temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are …

We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+ A→ 0,
on the line. The method leads to manageable diffusion equations whose interpretation is …

We present a general scaling theory for the surface critical behavior of nonequilibrium
systems with phase transitions into absorbing states. The theory allows for two independent …

We study the one-dimensional contact process in its quantum version using a recently
proposed real-space renormalization technique for stochastic many-particle systems …

Universality is an attractive feature in statistical physics because wide range of models can
be classified purely in terms of their collective behavior into classes. This review aims to …