论文标题
Voronoi细胞分析:粒子系统的形状
Voronoi cell analysis: The shapes of particle systems
论文作者
论文摘要
可以研究许多物理系统,作为嵌入空间中的粒子的集合,通过确定性进化方程式发展。关于如何表征这些安排的自然问题 - 它们是订购还是无序?如果他们被订购,它们将如何订购以及它们拥有哪种缺陷? Voronoi Tessellations最初引入了研究纯数学问题,已成为一种强大而多才多艺的工具,用于分析纯物理和应用物理学中无数问题。在本文中,我们解释了Voronoi Tessellations及其产生的形状的基础知识,并描述了它们如何用于研究许多物理系统。
Many physical systems can be studied as collections of particles embedded in space, evolving through deterministic evolution equations. Natural questions arise concerning how to characterize these arrangements - are they ordered or disordered? If they are ordered, how are they ordered and what kinds of defects do they possess? Originally introduced to study problems in pure mathematics, Voronoi tessellations have become a powerful and versatile tool for analyzing countless problems in pure and applied physics. In this paper we explain the basics of Voronoi tessellations and the shapes they produce, and describe how they can be used to study many physical systems.