  We investigate, using the noise reduction technique, the asymptotic
universality class of the well-studied nonequilibrium limited mobility
atomistic solid-on-solid surface growth models introduced by Wolf and Villain
(WV) and Das Sarma and Tamborenea (DT) in the context of kinetic surface
roughening in ideal molecular beam epitaxy. We find essentially all the earlier
conclusions regarding the universality class of DT and WV models to be severely
hampered by slow crossover and extremely long lived transient effects. We
identify the correct asymptotic universality class(es) which differs from
earlier conclusions in several instances.
