Emergent Structures in Complex Systems

复杂系统中的涌现结构

• 批准号: 1208941
• 负责人: Charles Radin
• 金额: $ 16.89万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-07-15 至 2016-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1208941&HistoricalAwards=false
• 关键词: Emergent; Structures; Complex; Systems

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.

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。剪切变形的反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。所使用的主要技术将是平衡统计力学的变体。晶体固体和其他涌现的结构是由组分组成的，但只有当组分的数量非常大时，它们才表现出有用的特征，如机械强度。因此，尽管科学界对这种结构进行了广泛的建模，但对大量组成部分所起的复杂作用还没有充分的了解。该奖项将支持一种新的方法，以获得有效的数学控制的组件在建模这些技术上重要的结构。