Topics in Statistical Physics

9630064 Fisher这项拨款继续支持这位备受尊敬的PI在统计物理的几个方面。PI对涉及猝灭随机性与热涨落和量子涨落之间相互作用的一类问题作出了重大贡献。目前的研究重点是随机量子磁体、脏型超导体中的拓扑涡流和自旋玻璃。该基金的另一个方面是探索具有阈值效应和在许多空间和时间尺度上响应的非线性驱动系统。例如固体断裂动力学、摩擦力、地质断层运动、介质击穿和超导体中的临界电流。最后有一个项目涉及到最近发展的动态平均场理论（无限维极限）及其在强相互作用电子问题上的应用。这项资助将继续对一系列广泛的问题进行研究，这些问题与某些潜在的数学相似性有关。一类问题包括地质断层的运动、固体破裂的动力学、介质击穿和超导体中强电流分布的性质。在另一类问题中，有随机量子磁体，超导体中磁涡流的传播等。这些问题以其复杂性、新颖性和广泛的应用范围而著称。＊＊＊

9630064 Fisher This grant continues the support of this well respected PI in several aspects of statistical physics. The PI has made significant contributions to the class of problems involving interplay between quenched randomness and thermal and quantum fluctuations. The current focus is on random quantum magnets, topological vortices in dirty type II superconductors and spin glasses. Another aspect of this grant explores nonlinearly driven systems which have threshold effects and respond at many spatial and temporal scales. The examples are dynamics of fracture in solids, friction, motion of geological faults, dielectric breakdown and critical currents in superconductors. Finally there is one project involving the recently developed dynamic mean field theories (the infinite dimension limit) and their applications to the problem of strongly interacting electrons. %%% This grant continues the work on a broad range of problems, related by certain underlying mathematical similarities. One class of problems include the motion of geological faults, dynamics of fracture in solids, dielectric breakdown and properties of distribution of intense current in a superconductor. In another class of problems, there are random quantum magnets, propagation of magnetic vortices in a superconductor etc. These problems are noted for their complexity, novelty and a broad range of applications. ***