Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions

Details Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions

1994-07-19

arxiv.org/abs/cond-mat/9407081v1

Physics

Condensed Matter

8 pages, LaTeX 2.09, IC-DDV-93-004

Scientific paper

10.1209/0295-5075/27/4/002

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 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.

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