Numerical test of the damping time of layer-by-layer growth on stochastic models

Details Numerical test of the damping time of layer-by-layer growth on stochastic models Numerical test of the damping time of layer-by-layer growth on stochastic models

1998-09-29

arxiv.org/abs/cond-mat/9809382v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, source LaTeX file and 5 PS figures

Scientific paper

10.1103/PhysRevE.59.6184

We perform Monte Carlo simulations on stochastic models such as the Wolf-Villain (WV) model and the Family model in a modified version to measure mean separation $\ell$ between islands in submonolayer regime and damping time $\tilde t$ of layer-by-layer growth oscillations on one dimension. The stochastic models are modified, allowing diffusion within interval $r$ upon deposited. It is found numerically that the mean separation and the damping time depend on the diffusion interval $r$, leading to that the damping time is related to the mean separation as ${\tilde t} \sim \ell^{4/3}$ for the WV model and ${\tilde t} \sim \ell^2$ for the Family model. The numerical results are in excellent agreement with recent theoretical predictions.

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