Many physical phenomena are governed by the aggregation of material. Such processes have been studied in earnest since the early parts of this century and continue to attract considerable interest within areas that range from astrophysics 2 to biology. The most powerful methods for analyzing these phenomena are based on general scaling arguments 5 applied to the number and size distribut...

We present a new parameterisation for shear-driven, stratified, turbulent mixing which is pertinent to climate models, in particular the shear-driven mixing in overflows and the Equatorial Undercurrent. Critically for climate applications this parameterisation is simple enough to be implemented implicitly, which allows the parameterisation to be used with timesteps that are long compared to bot...

A hybrid multiscale kinetic Monte Carlo (HMKMC) method for speeding up the simulation of copper electrodeposition is presented. The fast diffusion events are simulated deterministically with a heterogeneous diffusion model which considers site-blocking effects of additives. Chemical reactions are simulated by an accelerated (tau-leaping) method for discrete stochastic simulation which adaptivel...

The dynamics near firstand second-order phase transitions in a two-dimensional lattice-gas model are compared using the first-order reversal curve (FORC) method. The FORC diagram of a first-order transition is characterized by a negative region separating two positive regions, reflecting a competition between the time-varying electrochemical potential and the tendency of the system to phase order.

The effects of adsorbates on nucleation and growth of twodimensional islands is investigated by kinetic Monte Carlo simulations and rate equation theory. The variation of island morphology with adsorbate parameters is discussed and the temperature-dependence of island density in the case of immobile adsorbates is studied in detail. A set of rate equations for the description of nucleation in th...

We show that fast edge diffusion in a simple kinetic Monte Carlo simulation for epitaxial growth enhances surface roughening for a model of irreversible aggregation. The reason for this is a simple, but rather subtle effect: Faster edge diffusion makes the islands more compact, leading to a significant adatom concentration on top of islands at earlier times. As a consequence, nucleation in high...

We introduce an algorithm for treating growth on surfaces which combines important features of continuum methods ~such as the level-set method! and kinetic Monte Carlo ~KMC! simulations. We treat the motion of adatoms in continuum theory, but attach them to islands one atom at a time. The technique is borrowed from the dielectric breakdown model. Our method allows us to give a realistic account...

Thin-film deposition is an industrially important process that is highly dependent on the processing conditions. Most films are grown under constant conditions, but a few studies show that modified properties may be obtained with periodic inputs. However, assessing the effects of modulation experimentally becomes impractical with increasing material complexity. Here we consider periodic conditi...