The budding of multicomponent membranes is studied by computer simulations
and scaling arguments. The simulation algorithm combines dynamic triangulat
ion with Kawasaki exchange dynamics. The budding process exhibits three dis
tinct time regimes: (i) formation and growth of intramembrane domains; (ii)
formation of many buds; and (iii) coalescence of small buds into larger on
es. The coalescence regime (iii) is characterized by scaling laws which des
cribe the long-time behavior. Thus, the number of buds, N-bud, decays as N-
bud similar to 1/t(theta) for large time t with theta = 1/2 and theta = 2/3
in the absence and the presence of hydrodynamic interactions, respectively
.