超深度球体包装来源于无序的隐形超均的地面状态
Jaeuk Kim1, Salvatore Torquato2
1Princeton Materials Institute, Department of Physics, Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
The Journal of chemical physics
|July 8, 2025
概括
无序的隐形超均 (SHU) 材料以软核排斥实现高密度,与没有软核排斥的材料不同. 这项研究提供了SHU系统中最大包装分数的公式.
科学领域:
- 材料科学 材料科学 材料科学
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
背景情况:
- 无序隐形超均 (SHU) 包装是具有独特性质的异国情调无形材料.
- 这些材料通常由使用修改后的优化方案的点模式形成.
研究的目的:
- 在SHU系统中研究最大包装分数 (φmax).
- 探索软核排斥和隐形参数 (χ) 对1-3维的包装密度的影响.
主要方法:
- 模拟SHU点图案,有或没有软核排斥.
- 对对距离分布和最近邻近距离的分析.
- 计算结构因子,对相关函数和光谱密度.
主要成果:
- 如果没有软核排斥,随着粒子数 (N) 的增加,φmax就会下降.
- 通过软核排斥,φmax变得很大并且独立于N,分别达到1.0,0.86,0.63在1,2,3维.
- 软核排斥显著改变相关性,并增加大规模的顺序,增加 χ.
结论:
- 软核排斥使无序的SHU材料具有前所未有的高密度.
- 对φmax的明确公式是由 χ 和 N 的函数推导出来的.
- 这些发现为设计新型高密度无形材料提供了新的途径.
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