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 …

Rare regions, ie, rare large spatial disorder fluctuations, can dramatically change the
properties of a phase transition in a quenched disordered system. In generic classical …

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

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We present generic scaling laws relating spreading critical exponents and avalanche
exponents (in the sense of self-organized criticality) in general systems with absorbing …

A systematic theory for the diffusion-limited reaction processes A+ A→ 0 and A→(m+ 1) A is
developed. Fluctuations are taken into account via the field-theoretic dynamical …

The techniques of quantum field theory on a lattice are used to examine the diffusion and
reaction processes of particles in a solid, such as vacancies or interstitials, or chemical …

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 develop a systematic analytic approach to the problem of branching and annihilating
random walks, equivalent to the diffusion-limited reaction processes 2 A→∅ and A→(m+ 1) …

We study the nonequilibrium phase transition in the one-dimensional contact process with
quenched spatial disorder by means of large-scale Monte Carlo simulations for times up to …