Statistical Mechanics and Dynamics of Disordered Systems

无序系统的统计力学和动力学将 使用分析和数值方法进行研究。 三 本文主要研究以下几个方面：1）随机空间中的自回避游动 2）多孔介质中氦的超流转变 随机电阻和弹性网络。 这些主题 将通过各种现代方法进行研究， 统计力学;包括场论和 重正化群，Lifshitz型参数和数值 仿真 这项研究直接关系到理解 多孔玻璃中超流体的实验研究现状 和凝胶中的聚合物。 第二个基本目标是 工作是推进理论工具的发展， 无序系统的研究。

The statistical mechanics and dynamics of disordered systems will be investigated using analytical and numerical methods. Three major areas will be studied: 1) Self-avoiding walks in random environments, 2) The superfluid transition for Helium in porous media and 3) Random resistor and elastic networks. These topics will be investigated by a variety of modern methods of statistical mechanics; including field theory and the renormalization group, Lifshitz type arguments, and numerical simulation. This research is directly relevant to understanding current experiments in the areas of superfluids in porous glasses and polymers in gels. A second fundamental objective of this work is to advance the development of theoretical tools for the study of disordered systems.