Emergent Structures in Complex Systems

该奖项将支持各种多体系统中紧急结构的研究，包括复杂网络和软物质。对剪切变形的响应将被用来证明这种紧急结构的存在和性质，在简化的模型中。使用的主要技术将是平衡统计力学的变体。结晶固体和其他新兴结构是由成分组成的，但只有当成分数量非常大时，它们才会表现出有用的特征，比如机械强度。由于这个原因，尽管这些结构在科学中被广泛地建模，但对大量组成部分所起的复杂作用的理解仍然不足。该奖项将支持一种新方法，以获得对这些技术上重要结构建模的组件的有效数学控制。

This award will support research in emergent structures in a variety of many-body systems, including complex networks and soft matter. Response to shear deformation will be used to prove the existence and nature of such emergent structures, within simplified models. The main technique used will be variants of equilibrium statistical mechanics.Crystalline solids and other emergent structures are composed of components but exhibit their useful features, such as mechanical strength, only when the number of components is very large. For this reason, although such structures are widely modelled in the sciences there is as yet insufficient understanding of the complicated role played by the vast number of components. This award will support a newapproach to obtain effective mathematical control of the components in modelling these technologically important structures.