Surface diffusion in the framework of lattice gas model: mean field treatment and Monte-Carlo method

We have studied the lattice gas model subject to nearest neighbour repulsive interactions with the Monte-Carlo method leading to a clear understanding of order-disorder transition and its effect on the adsorption and intercalation processes. The lattice division into two (three) sublattices in the case of the square (triangular) lattice enables us to underline the appearance and the growth of the ordered phase. A comparison between the mean field approximation and Monte-Carlo results is also presented.We have studied the lattice gas model subject to nearest neighbour repulsive interactions with the Monte-Carlo method leading to a clear understanding of order-disorder transition and its effect on the adsorption and intercalation processes. The lattice division into two (three) sublattices in the case of the square (triangular) lattice enables us to underline the appearance and the growth of the ordered phase. A comparison between the mean field approximation and Monte-Carlo results is also presented