Rigidity Percolation and Glassy Networks

刚性渗透和玻璃网络

• 批准号: 8714865
• 负责人: Michael Thorpe
• 金额: $ 12.07万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-11-01 至 1991-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714865&HistoricalAwards=false
• 关键词: Rigidity; Percolation; Glassy; Networks

The research will examine models of rigidity percolation in random mechanical networks of springs. Networks are studied under pressure. These simple models may lead to insights into the phase diagrams of solids under pressure. It is proposed to examine the controversial question of rotational invariance of free standing solids with strained interiors which has important consequences for critical exponents. The reasons why Cauchy's relations are obeyed in these random systems are explored. The static and low frequency critical behavior will be pursued both numerically and using scaling relations.

这项研究将检查模型的刚性渗透， 弹簧的随机机械网络。 网络研究 在压力下。 这些简单的模型可以帮助我们了解 固体在压力下的相图。 提出要 研究有争议的旋转不变性问题， 具有应变内部的独立固体， 关键指数的后果。 为什么柯西的 这些随机系统中服从的关系进行了探讨。 的 静态和低频临界特性将被追求， 数值上和使用比例关系。