Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

Irreversible random sequential adsorption (RSA) on lattices, and continuum" car parking"
analogues, have long received attention as models for reactions on polymer chains …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

Crystal growth far from thermodynamic equilibrium is nothing but homoepitaxy-thin film
growth on a crystalline substrate of the same material. Because of the absence of misfit …

We introduce a geometrical interpretation to classify possible linear and nonlinear terms in
the models for driven growth with surface relaxation. A nonlinear differential equation …

We derive a stochastic nonlinear equation to describe the evolution and scaling properties
of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be …

We derive a stochastic nonlinear continuum equation to describe the morphological
evolution of amorphous surfaces eroded by ion bombardment. Starting from Sigmund's …

We consider the growth of films by molecular beam epitaxy in the presence of step-edge
(Schwoebel) barriers using numerical simulation and experiments. We show that the growth …