计算硬势系统固有结构的一种平铺方法
A Tiling Approach to Counting Inherent Structures in Hard Potential Systems
摘要：
液体可区分的固有结构的数量是理解玻璃形成者热力学的关键组成部分。在硬势系统的情况下，如硬盘，球体和椭球体，固有的结构对应于一个共同堵塞的配置。这项工作开发了一种基于瓦片的方法来计算固有的结构，通过组合基本的局部堵塞的结构，但消除了那些最终的包装，要么，不瓦片空间，或不集体堵塞，通过使用瓦片不兼容的规则，构造包装。由此产生的理论包含了一些几何量，如瓷砖上的生长点的数量和瓷砖兼容性的数量，提供洞察的内在结构的数量在某些限制。我们还表明，这些几何量变得相当简单的高度限制的硬盘系统。
英文摘要：
The number of distinguishable inherent structures of a liquid is the key component to understanding the thermodynamics of glass formers. In the case of hard potential systems such as hard discs, spheres and ellipsoids, an inherent structure corresponds to a collectively jammed configuration. This work develops a tiling based approach to counting inherent structures that constructs packings by combining sets of elementary locally jammed structures but eliminates those final packings that either, do not tile space, or are not collectively jammed, through the use of tile incompatibility rules. The resulting theory contains a number of geometric quantities, such as the number of growth sites on a tile and the number of tile compatibilities that provide insight into the number of inherent structures in certain limits. We also show that these geometric quantities become quite simple in a system of highly confined hard discs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
