Some Theoretical Studies of the Properties of Condensed Matter

研究将在非微扰下研究非谐性对随机网络振动的作用；对振动的分形结构的非弹性散射幅度进行数值计算；研究混合非晶态材料的声速标度特性；以及研究稀孔掺杂高温超导体中的核自旋弛豫。某些无序材料呈现出用分形学最好描述的结构。这项拟议的研究使用了分形子模型，即对分形结构的激发，来解释这些无序材料的各种物理性质。高温超导体中的核弛豫将进行更多的工作。

Research will be undertaken to study nonperturbatively the role of anharmonicity for vibrations of random networks; to conduct numerical calculations of inelastic scattering amplitudes from vibrating fractal structures; to study the scaling properties of the sound velocity for mixed amorphous materials; and, to investigate the nuclear spin relaxation in dilute hole-doped high temperature superconductors. %%% Certain disordered materials exhibit structures which are best described by fractals. The proposed research uses the model of fractons, or excitations on a fractal structure, to interpret various physical properties of these disordered materials. Additional work will be conducted on nuclear relaxation in the high temperature superconductors.