The scaling behavior of nonlocal surface growth equations are analyzed using a Flory-type approach introduced by Hentschel and Family [Phys. Rev. Lett. 66 (1991) 1982]. The growth equations studied include the nonlocal Kardar–Parisi–Zhang, nonlocal Sun–Guo–Grant, and nonlocal Lai–Das...

The scaling behaviors of the anisotropic nonlocal Kardar–Parisi–Zhang equation are studied by the scaling analysis method introduced by Hentschel and Family. The scaling exponents in both the weak- and strong-coupling regions are obtained, respectively. The scaling exponents in weak-coupling...

We implement and assess several statistical methods for rough surface morphology characterization, which can largely be divided into two classes. The first class is based on estimation of two-point, quadratic statistical functions and includes: estimates of the sample autocovariance function,...

In surface growth simulations, usually the substrate is initially considered smooth with no roughness. But as known in reality, many substrates in nature are initially rough. In this article, we study the sensitivity of dynamic scaling of different models on rough substrates generated by...

The spreading of a small mercury droplet (150μm) on thin gold films is studied, using an optical microscope enhanced with a differential interference contrast system. The growing interfaces are analyzed in order to determine the roughness (α) and growth (β) exponents. For gold film thickness...

We study two models for competitive deposition and evaporation of particles from rough surfaces. The process of deposition is carried out for two models, one according to the ballistic deposition (BD) and the other according to the random deposition with a surface relaxation (RDSR). The process...

The spreading of small droplets (50–200 μm of Hg on thin Ag films has been studied. The Hg front formation mechanism has been determined using optical microscope, Scanning Electron Microscope (SEM) and Atomic Force Microscope (AFM) analyses. The dynamics and geometry of the growing rough...

The healing times for the growth of thin films on patterned substrates are studied using simulations of two discrete models of surface growth: the Family model and the Das Sarma–Tamborenea (DT) model. The healing time, defined as the time at which the characteristics of the growing interface...

The dynamic scaling properties of growing surfaces with point-defects have been studied by applying a dynamic renormalization-group approach to the generalized KPZ equation, which contains a growth inhomogeneity term of delta function. It can be shown, from the roughness exponent χ and dynamic...

The height–height correlations of the surface growth for equilibrium and nonequilibrium restricted solid-on-solid (RSOS) model were investigated on randomly diluted lattices, i.e., on infinite percolation networks. It was found that the correlation function calculated over the chemical...