Topological transitions: A topological random walk or pure geometric necessity?

Topological transitions: A topological random walk or pure geometric necessity?
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DOI:
10.1016/j.commatsci.2019.04.047
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发表时间:
2019-08
影响因子:
3.3
通讯作者:
D. Zöllner;P. R. Rios;I. Zlotnikov
D. Zöllner;P. R. Rios;I. Zlotnikov
中科院分区:
材料科学3区
文献类型:
--
作者:
D. Zöllner;P. R. Rios;I. Zlotnikov

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细胞网络在各种各样的材料影响许多材料的性能-一个特别重要的主题,当谈到这些网络的微观结构粗化。因此,网络中的变化具有强烈的科学和技术兴趣,其中所有拓扑变化都以拓扑转换的形式发生。在二维中,有三种类型的过渡,即晶粒消失事件,邻居切换事件,和边缘消失事件。每个事件不仅改变晶粒的形态,而且改变该晶粒周围的局部拓扑。目前的工作是第一次调查的问题是否这样的拓扑转换描述的拓扑随机行走的个别晶粒,或者如果他们是一个纯粹的几何结构空间填充的必要性。
Cellular networks in a broad variety of materials influence many materials properties—a particularly important subject when it comes to microstructural coarsening of these networks. Hence, changes in the networks are of intense scientific and technological interest, where all topological changes occur in form of topological transitions. In two dimensions, there are three types of transitions, namely grain disappearance events, neighbour switching events, and edge disappearance events. Each event changes not only the morphology of a grain but also the local topology around this grain. The present work is the first investigation aimed at the question whether such topological transitions describe a topological random walk for individual grains or if they are a pure geometric necessity for structural space filling.