Scanning-tunneling-microscope studies of mass flow on (111) Au have sh
own that the rate of decay of the area of monolayer islands is linear
in time. We demonstrate by Monte Carlo simulation that a proper accoun
ting of the detachment and reattachment rates of kink site atoms produ
ces a linear decay. In our simulation, adatoms emitted from kink sites
on mesa edges execute an unbiased random walk and may reattach to the
home mesa or be absorbed by an outer ledge, possibly after several re
flections from the step down at the outer ledge. The linear decay of m
esa areas is found to be rather insensitive to variations in the proba
bility of reflection from the outer ledge.