Study of surface temporal fluctuations by mean field lattice gas model

Abstract

We examine the behaviour of the current correlation function of small surfaces equivalent to the probe areas in the scanning tunnelling microscopy experiments with the interactions, the surfaces size and the coverage. The kinetics is described by the mean field master equation in the context of lattice gas model. The results show that for both the non-interacting case and in presence of repulsive interactions susceptible to produce an order–disorder transition in the system, the correlation function varies as l/ D c t in the long time regime. We calculate the collective diffusion coefficient using the linear response theory as well as the correlation function method and we find a good agreement between both results except for the half full lattice.