The classical diffusion of a particle in a periodic system is studied employing the Smoluchowski equation with an external periodic field of force. Assuming a two-dimensional rectangular symmetry and an external potential of a simple cosine shape, the resulting eigenvalue problem leads to a Hill...

This work is a theoretical contribution to the understanding of the aggregation process in dilute colloidal suspensions. We employ Brownian dynamics simulations, with homodisperse solid spherical particles, neglecting hydrodynamic interactions between the particles. We study the influence of the...

An analytical approximation for the mobility of an overdamped particle in a periodic multi-dimensional system is presented. Attention is focused on two dimensions (quasi-2D approximation) in the most generic case of a 2D-coupled periodic potential in a rectangular lattice and of a...

The growth modes of the Ag(110) surface are studied near room temperature by means of Kinetic Monte Carlo simulations. For the elementary diffusion processes, we use energy barriers determined by quenched molecular dynamics simulations where silver has been modeled by many-body potentials....

The influence of the periodic potential structure on the diffusion mechanism of a Brownian particle is studied using the Fokker–Planck equation. The equation is solved numerically by the matrix continued fraction method in order to calculate relevant correlation functions. In particular, jump...