首页 | 本学科首页   官方微博 | 高级检索  
     


A tiling approach to counting inherent structures in hard potential systems
Authors:S.S. Ashwin  R.K. Bowles
Affiliation:1. Department of Materials Science, University of Erlangen-Nürnberg, Erlangen, Germany;2. Department for Glass and Ceramic Composites, Institute of Mineral Engineering, RWTH Aachen, Aachen, Germany
Abstract: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.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号