Abstract
We present results of numerical simulations of kinetic roughening for a growth model with surface diffusion (the Wolf-Villain model) in 3 + 1 and 4 + 1 dimensions using lattices of a linear size up to L = 64 in 3 + 1 D and L = 32 in 4 + 1 D. The effective exponents calculated both from the surface width and from the height-height correlation function are much larger than those expected based on results in lower dimensions, due to a growth instability which leades to the evolution of large mounded structures on the surface. An increase of the range for incorporation of a freshly deposited particle leads to a decrease of the roughness but does not suppress the instability.
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