Elastic effects on heterogeneous nucleation and microstructure formation

非均匀形核和微结构的生长通常伴随着弹性变形，弹性变形可以显著地影响这些过程的结晶性质和动力学。晶格失配、密度差异或浓度梯度是这些效应的主要来源，这些效应导致新的长度尺度的出现和对材料性质的显著影响。尽管这些现象的明显相关性，普遍接受的理论，考虑到弹性长程相互作用在一个一致的方式尚未提供，特别是在考虑原子结构和有序。在这个项目中，我们将研究这些新效应对异质形核和微观结构发展的动力学过程的影响。总的目的是通过分析和数值方法获得经典标度关系的推广，并将其与实验结果进行比较。

Heterogeneous nucleation and the growth of microstructures are often accompanied by elastic deformations which can significantly influence the thermodynamical properties and kinetics of these processes. Lattice mismatches, density differences or concentration gradients are primary origins for these effects, which lead to the appearance of new lengthscales and noticeable consequences for the material properties. Despite the obvious relevance of these phenomena, generally accepted theories which take into account the elastic long-range interactions in a consistent way are not yet available, especially under consideration of the atomic structures and ordering. In this project, we will investigate the influence of these new effects on the dynamical processes of heterogeneous nucleation and microstructure development. The general aim is to obtain generalizations of classical scaling relations by analytical and numerical methods, and to compare them to experimental results.