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 …

Crystal growth phenomena are discussed with special reference to growth from vapour. The
basic concepts of crystal growth are recalled, including the different growth modes, the …

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 …

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 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 …

We show that in epitaxial growth, there is a critical island size R c at which a second layer
nucleates on top of the island. This provides a simple perspective on the conditions for …

The nucleation and growth of two-dimensional islands during the submonolayer stage of
epitaxial growth is studied with kinetic Monte Carlo simulations and mean-field rate …

The results of a detailed study of the evolution, scaling, and percolation of islands in a model
of submonolayer molecular-beam epitaxy appropriate for the case of dendritic island growth …

Using density-functional theory we investigate properties of Al (111), Al (100), Al (110), and
stepped Al (111) surfaces, including formation energies of surfaces, steps, adatoms, and …

The growth of a Cu (100) crystal has been investigated with helium atom beam scattering in
real time and examined in the light of the dynamical scaling hypothesis. The associated …