The dynamics of island nucleation and growth—beyond mean-field theory

The dynamics of island nucleation and growth—beyond mean-field theory
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岛形核和生长的动力学——超越平均场理论

DOI:
10.1209/epl/i2003-10098-x
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发表时间:
2004
期刊:
EPL
影响因子:
1.8
通讯作者:
P. Mulheran
P. Mulheran
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
P. Mulheran

文献摘要

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采用超越经典平均场近似的俘获区模型,对薄膜沉积过程中岛屿形核和生长的动力学进行了完全确定的计算。根据捕获区内随时间变化的单体密度,精确计算了各种临界岛尺寸i=0,1,2的成核率。然后计算了岛屿和捕获区大小的联合概率分布(JPD)的确定性演化。结果表明,JPD能迅速收敛到近似尺度不变的形式,这与蒙特卡罗模拟数据符合得很好。
Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.