Diffraction experiments can be used easily to measure the time evolution of
a system under nonequilibrium conditions to attain a new equilibrium state
and deduce "nonequilibrium'' surface diffusion coefficients. It is not cle
ar how the "nonequilibrium" diffusion coefficients extracted from such diff
raction experiments should be interpreted. We study with Monte Carlo simula
tions the behavior of the "nonequilibrium" tracer and collective diffusion
coefficients in a lattice-gas model with attractive nearest-neighbor intera
ctions, as the system evolves in time from an initial random state to attai
n the (1x1) ordered state for temperatures T/T-c <1. We calculate the depen
dence of the mean-square displacement [R-2] on time and the collective diff
usion from the relaxation of the nonequilibrium structure factor S((q) over
right arrow,t) within time sub-intervals under the assumption that quasieq
uilibrium holds. We determine the time-dependent "nonequilibrium" diffusion
coefficients and extract the time-dependent activation energies. For both
diffusion coefficients the "nonequilibrium" values obtained at late times a
re compared to the corresponding values obtained at equilibrium.