Floppy Modes in Disordered Systems

9632182 Thorpe网络玻璃的机械稳定性和相关性质可以通过研究松弛模式（floppy mode）、低频本征模式来分析。 使用最近设计的算法，称为卵石游戏，在两个维度上，PI已经成功地计算了大量网站的集群统计数据的几个措施。 目前的拨款是探索这项工作的扩展到3维，探索相关的热力学形式主义的发展，从而研究软-刚性过渡。 这项研究应该产生一个更好的理解的硬度，隧道模式的结构行为和脆弱和强大的玻璃形成者的性质。 %该基金支持玻璃机械稳定性的研究。 这项研究涉及发展的措施，强度和数学技术的可靠计算。 这里的各种项目是应用数学和材料科学之间的接口的最前沿。这项研究应该产生一个更好的理解的硬度，它的关系，弹性波和性质的脆弱和强大的玻璃形成。 ***

9632182 Thorpe The mechanical stability and associated properties of network glasses can be analyzed by studying the floppy modes, the low frequency eigenmodes. Using a recently devised algorithm, called the pebble game, in two dimensions, the PI has been successful in calculating several measures of the cluster statistics for a large number of sites. The current grant is to explore extension of this work to 3 dimensions, to explore development of an associated thermodynamic formalism and thereby study floppy- rigid transitions. This research should produce an improved understanding of hardness, the structural behavior of tunneling modes and the nature of fragile and strong glass formers. %%% This grant supports research in the mechanical stability of glasses. The research involves developments of measures of strength and mathematical techniques for a reliable calculation of them. The various projects here are at the forefront of the interface between applied mathematics and materials science. This research should produce an improved understanding of hardness, of its relationship to elastic waves and the nature of fragile and strong glass formers. ***