Rigidity Percolation and Glassy Networks

这项研究将检验随机弹簧力学网络中的刚性渗流模型。网络是在压力下进行研究的。这些简单的模型可能导致对压力下的固体相图的深入了解。本文建议研究内部受应变的自由固体的转动不变性这一有争议的问题，该问题对临界指数有重要的影响。探讨了柯西关系在这些随机系统中服从的原因。静态和低频临界行为将通过数值和使用标度关系来实现。

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.