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 …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

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 …

The determination of the exact exponents of the KPZ class in any substrate dimension d is
one of the most important open issues in Statistical Physics. Based on the behavior of the …

The octahedron model introduced recently has been implemented onto graphics cards,
which permits extremely large-scale simulations via binary lattice gases and bit-coded …

We investigate the strong-coupling regime of the stationary Kardar-Parisi-Zhang equation for
interfaces growing on a substrate of dimension d= 1, 2, and 3 using a nonperturbative …

The probability density function (PDF) of the roughness, ie, of the temporal variance, of 1/f α
noise signals is studied. Our starting point is the generalization of the model of Gaussian …

We integrate numerically the Kardar-Parisi-Zhang (KPZ) equation in 1+ 1 and 2+ 1
dimensions using a Euler discretization scheme and the replacement of (∇ h) 2 by …

We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class
in low dimensions is obeyed by the restricted solid-on-solid model for substrates with …

Fluctuations of global additive quantities, like total energy or magnetization for instance, can
in principle be described by statistics of sums of (possibly correlated) random variables. Yet …