I. Vattulainen et al., Memory effects and coverage dependence of surface diffusion in a model adsorption system, PHYS REV B, 59(11), 1999, pp. 7697-7707
We study the coverage dependence of surface diffusion coefficients for a st
rongly interacting adsorption system O/W(110) via Monte Carlo simulations o
f a lattice-gas model. In particular, we consider the nature and emergence
of memory effects as contained in the corresponding correlation factors in
tracer and collective diffusion. We show that memory effects can be very pr
onounced deep inside the ordered phases and in regions close to first and s
econd order phase transition boundaries. Particular attention is paid to th
e details of the time dependence of memory effects. The memory effect in tr
acer diffusion is found to decay following a power law after an initial tra
nsient period. This behavior persists until the hydrodynamic regime is reac
hed, after which the memory effect decays exponentially. The time required
to reach the hydrodynamical regime and the related exponential decay is str
ongly influenced by both the critical effects related to long-wavelength fl
uctuations and the local order in the overlayer. We also analyze the influe
nce of the memory effects on the effective diffusion barriers extracted fro
m the Arrhenius analysis. For tracer diffusion, we find that the contributi
on from memory effects can be as large as 50% to the total barrier. For col
lective diffusion, the role of memory effects is in general less pronounced
. [S0163-1829(99)03011-8].