The topological transformation of grains in three-dimensional normal grain
growth was analyzed by Brakke's Surface Evolver method that simulated the b
oundary motion by curvature. The statistics on elemental processes, which c
hange the number of faces f of a grain, were determined from the simulation
. The distribution function of the number of faces P(f) in a steady structu
re could be predicted from the difference in the current of grains arriving
at and leaving from state f: For the disappearance of one grain, face-crea
tion switching occurred 3.7 times and face-elimination switching occurred 1
3.2 times on the average.