On First-order Corrections to the LSW Theory I: Infinite Systems
On First-order Corrections to the LSW Theory I: Infinite Systems
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关于 LSW 理论的一阶修正 I：无限系统
DOI：
10.1007/s10955-004-2057-2
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发表时间：
2002
影响因子：
1.6
通讯作者：
F. Otto
中科院分区：
文献类型：
--
作者：
A. Hönig;B. Niethammer;F. Otto
提出了一种新的方法来有效地识别经典模型的一阶修正Lifshitz，Slyozov和瓦格纳（LSW）。后者描述了在相变的最后阶段嵌入基体中的第二相粒子的演化，并且在粒子的体积分数φ为零的区域中是有效的。我们考虑一个统计齐次（因此是无限的）系统，其中一阶修正为φ1/2阶。关键思想是将完整的粒子系统与有限数量的粒子被移除的系统联系起来。该方法消除了筛选和相关效应，并允许有效地评估粒子生长速率的条件期望值。
We present a new method to efficiently identify the first-order correction to the classical model by Lifshitz, Slyozov and Wagner (LSW). The latter describes the evolution of second phase particles embedded in a matrix during the last stage of a phase transformation and is valid in the regime of vanishing volume fraction φ of particles. We consider a statistically homogeneous (and thus infinite) system, where the first-order correction is of order φ1/2. The key idea is to relate the full system of particles to systems where a finite number of particles has been removed. This method decouples screening and correlation effects and allows to efficiently evaluate conditional expected values of the particle growth rates.