四面体决定了硬球中的动力学
Tetrahedrality dictates dynamics in hard spheres
摘要：
玻璃是一种无处不在的非晶态固体，它仍然是凝聚态物质中最大的谜团之一。尽管有大量关于眼镜的文献，但仍然缺少一种统一的方法来连接眼镜的结构和动力学。然而，越来越多的证据表明，微观局部几何形状是一个关键因素。这起源于弗兰克的开创性工作，他认为玻璃可能是液体局部倾向于形成二十面体结构的结果，这种结构不能定期填充空间。在这里，我们表明，对于一个基本的玻璃模型，动力学可以通过简单地计算四面体的数量来完全理解。无论是全局还是局部，这些局部结构都直接预测了动力学减速。经过60多年的弗兰克猜想，对眼镜来说重要的可能不是二十面体，而是里面的四面体。
英文摘要：
Glasses are ubiquitous amorphous solids that remain one of the big mysteries in condensed matter. Despite the vast body of literature on glasses, a unifying approach to link the structure and dynamics of glasses is still missing. A growing set of evidence, however, indicates the microscopic local geometry as a key ingredient. This originated from the seminal work of Frank, who conjectured that glasses may be the result of the local tendency of liquids to form icosahedral structures, which are not capable of globally filling space regularly. Here, we show that, for a fundamental glass model, dynamics can be fully understood by simply counting the number of tetrahedra. Both globally and locally, these local structures directly predict dynamical slowdown. After more than 60 years of Frank's Conjecture, it might not be the icosahedra that matter for glasses, but rather the tetrahedra inside them.
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