Computer simulation of precipitate coarsening: A unified treatment of diffusion and reaction controlled Ostwald Ripening
Computer simulation of precipitate coarsening: A unified treatment of diffusion and reaction controlled Ostwald Ripening
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沉淀物粗化的计算机模拟：扩散和反应控制奥斯特瓦尔德熟化的统一处理
DOI：
10.1080/10420159708211561
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发表时间：
1997
影响因子：
1
通讯作者：
W. Möller
中科院分区：
文献类型：
--
作者：
M. Strobel;S. Reiss;K. Heinig;W. Möller
摘要在离子束合成纳米团簇过程中，注入后的退火步骤会引起注入杂质原子的奥斯特瓦尔德熟化（OR）重新分布。描述OR的扩散反应方程是高度非线性的。因此，分析研究仅限于特殊情况下，如渐近行为，扩散或反应控制的限制，低集群浓度等的替代分析研究的OR是数值积分的扩散反应方程。使用这种方法，我们考虑到扩散和反应控制的OR，即我们提出了第一次统一的处理整个范围内和之间的扩散和反应控制的限制。基于局部平均场理论，我们的模型从满足稳态扩散方程的浓度场的多极展开开始。利用适当的边界条件，我们自洽地推导出控制方程的演变…
Abstract In Ion Beam Synthesis of nanoclusters the postimplantation annealing step causes major redistribution of the implanted impurity atoms by Ostwald Ripening (OR). The diffusion-reaction equations describing OR are highly nonlinear. Therefore, analytical studies are restricted to special cases like the asymptotic behavior, the diffusion or reaction controlled limit, low cluster concentration, etc. An alternative to analytical studies of OR is the numerical integration of the diffusion-reaction equations. Using this method we take into account the diffusion and reaction control of OR, i.e. we present for the first time a unified treatment for the whole range of and in between the diffusion and reaction controlled limits. Based on a local mean field theory, our model starts with a multipole expansion of the concentration field, which satisfies the stationary diffusion equation. Using appropriate boundary conditions on the precipitates we derive self-consistently the governing equations for the evolutio...