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...

We study the dynamic properties of a system of N interacting Brownian particles immersed in a two-dimensional periodic potential in relation to superionic conductors. By varying the density of the mobile ions and the strength of the pair interaction, we investigate commensurability and...