Diffusion Controlled Transformations in Multi-Particle Systems
Diffusion Controlled Transformations in Multi-Particle Systems
复制标题
多粒子系统中的扩散控制变换
DOI：
10.3139/ijmr-1997-0171
复制
发表时间：
1997
影响因子：
0.8
通讯作者：
G. Inden
中科院分区：
文献类型：
--
作者：
P. Franke;G. Inden
摘要建立了一个模拟多粒子系统中扩散控制生长的模型。转化体积被分成单个核周围的Wigner-Seitz细胞。在这些细胞中的球形颗粒的转化动力学的数值确定使用有限元法。生长中的粒子之间的相互作用，由于软碰撞描述的晶格势。这允许在平均场方法方面考虑颗粒的空间分布。Wigner-Seitz镶嵌与平均场方法相结合，为微结构的演变提供了一个几何模型。通过计算机模拟的微观结构的横截面图像。在几种边界条件下模拟了一组泊松分布核的相变。
Abstract A model for simulating diffusion controlled growth in multi-particle systems has been developed. The transforming volume is divided into Wigner-Seitz cells around single nuclei. In these cells the transformation kinetics of spherical particles is determined numerically using the method of finite elements. Interactions between growing particles due to soft impingement are described by lattice potentials. This allows to take the spatial distribution of particles into account in terms of a mean field approach. The Wigner-Seitz tessellation in combination with the mean field approach provides a geometrical model for the evolution of a microstructure. Images of cross-sections through computer simulated microstructures are presented. The transformation of a set of Poisson-distributed nuclei is simulated under several boundary conditions.