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Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions

P. Šmilauer·M. Kotrla
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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 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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P. Šmilauer, M. Kotrla. 1994-07-19. Kinetic Roughening in Growth Models with Diffusion in Higher Dimensions. https://doi.org/10.1209/0295-5075%2F27%2F4%2F002

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