We investigate strained heteroepitaxial crystal growth in the framework of a simplifying (1+1)-dimensional model by use of offlattice Kinetic Monte Carlo simulations. Our modified LennardJones system displays the so-called Stranski-Krastanov growth mode: initial pseudomorphic growth ends by the sudden appearance of strain induced multilayer islands upon a persisting wetting layer.

Kinetic Monte Carlo simulations are used to investigate nucleation of two-dimensional islands on a substrate with nanoscale patterning. The patterned substrate is incorporated into a basic solid-on-solid model by introducing inhomogeneous energy barriers for surface diffusion. Growth on a patterned substrate promotes the spatial ordering of islands, which also leads to a narrow island size dist...

We investigate the mechanisms of three-dimensional 3D to two-dimensional 2D morphological transition in the heteroepitaxial growth of metal films by kinetic Monte Carlo simulations, and find that the difference between two types of neighbor interactions play an important role on the film morphology. The difference will vanishes with the film growing up. Just what the difference vanishes causes ...

A self-consistent rate-equation approach to the study of transitions in the critical island size i in submonolayer growth from i51 to i52 and from i51 to i53, corresponding to homoepitaxial growth on metal ~111! and ~100! surfaces, is presented. In contrast to previous standard rate-equation results, the average island density and monomer density are well predicted along with the transition tem...

We explore the effects of various basic atomic processes on the island shapes of diffusion-limited-aggregate growth on a triangular lattice using kinetic Monte Carlo simulation. Edge diffusion and bond-reducing relaxation of double-coordinated adatoms, as well as single-coordinated adatoms, are proved to be essential to the island shape transition from fractal to irregularly compact and from ir...

In this paper, the pricing of a European call option on the underlying asset is performed by using a Monte Carlo method, one of the powerful simulation methods, where the price development of the asset is simulated and value of the claim is computed in terms of an expected value. The proposed approach, applied in Monte Carlo simulation, is based on the Black-Scholes equation which generally def...

In this paper a new and powerful computer simulation capability for the characterization of carbonaceous nanoparticle assemblies across multiple, connected scales, starting from the molecular scale is presented. The goal is to provide a computational infrastructure that can reveal through multi-scale computer simulation how chemistry can influence the structure and function of carbonaceous asse...

Coarsening of particles during liquid phase sintering is known to be an example of Ostwald ripening. This coarsening process, in a fully wetting system, is simulated in three dimensions with a kinetic Monte Carlo model. The results from the simulation for microstructures, kinetics and particle size distributions are compared to available experimental findings. It is found that the average parti...

We report on the development of a test-particle based kinetic Monte Carlo code for large systems and its application to simulate matter in the continuum regime. Our code combines advantages of the Direct Simulation Monte Carlo and the Point-of-Closest-Approach methods to solve the collision integral of the Boltzmann equation. With that, we achieve a high spatial accuracy in simulations while ma...