Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions
arXiv:cond-mat/9407081 · doi:10.1209/0295-5075/27/4/002
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 in 3+1~D and 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 leads 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.
8 pages, LaTeX 2.09, IC-DDV-93-004