Monte Carlo and mean field theory studies of the effect of the next nearest neighbour sites of a square lattice on the monomer–dimer surface reaction

Abstract

A study was made of the monomer–dimer surface processes on a square lattice of sites that include, in addition to the four nearest neighbours (nn) to the surface site, the next nearest neighbours sites (nnn), using Monte Carlo computer simulation techniques and a hierarchical mean field theory. Of particular interest were the factors that affect the window width of the process.