Emergent Structures in Complex Systems

该奖项将支持各种多体系统中涌现结构的研究，包括复杂网络和软物质。在简化的模型中，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。使用的主要技术将是平衡统计力学的变体。晶体固体和其他新出现的结构是由组件组成的，但只有当组件的数量非常多时，才会显示出它们的有用特征，如机械强度。出于这个原因，尽管这种结构在科学中得到了广泛的模拟，但对大量组件所起的复杂作用的了解还不够充分。该奖项将支持一种新的方法，以在对这些具有重要技术意义的结构进行建模时获得对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.