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SIMULATION OF FRACTAL GROWTH OF THIN FILMS AT LOW TEMPERATURE

机译:低温下薄膜的分形生长模拟

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摘要

Fractal growth of thin films at low temperature (50-175k) is simulated by Monte Carlo method. It is shown that the thin film growth is quite different from the diffusion-limited aggregation (DLA) model when the coverage is larger than 0.1 ML. The average branch width of clusters increases with increasing temperature and it usually larger than the branch width (1.9 atom) in the classic DLA model. The average fractal dimension of clusters increases also with increasing coverage while the fractal dimension of DLA model remains constant. This difference comes from the weak screening effect during the late stage of thin film growth. The relationship between the saturation island number n_s and deposition interval Δt is described in a power law: n_s ∝Δtγ, whereγ=-0.332 is very close to the theoretical value -1/3 of rate equations from nucleation theory.
机译:用蒙特卡罗方法模拟了薄膜在低温(50-175k)下的分形生长。结果表明,当覆盖率大于0.1 ML时,薄膜的生长与扩散限制聚集(DLA)模型存在很大差异。团簇的平均分支宽度随温度的升高而增加,通常大于经典DLA模型中的分支宽度(1.9个原子)。聚类的平均分形维数也随着覆盖率的增加而增加,而DLA模型的分形维数保持不变。这种差异来自薄膜生长后期的弱筛选效应。饱和岛数n_s与沉积间隔Δt之间的关系用幂定律描述:n_s ∝Δtγ,其中γ= -0.332非常接近成核理论速率方程的理论值-1/3。

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