Diffusion of interacting particle on a hexagonal lattice is studied by use
of Monte Carlo simulations for a range of densities and temperatures includ
ing ordered and disordered phases. The decay of the initially prepared dens
ity perturbation is analyzed. Fast, local ordering happens at the beginning
of system relaxation and clearly separates as a function of time the much
slower global diffusion process. Locally equilibrated density perturbation
decays according to the macroscopic diffusion equation, which allows a coll
ective diffusion coefficient to be calculated. The density dependence of th
e collective diffusion coefficient is shown for several temperatures above
and below the critical temperature. (C) 1999 Elsevier Science B.V. All righ
ts reserved.