Topics in Statistical Physics

9976621 fisher这笔拨款继续支持这位备受尊敬的PI在统计物理和非线性动力学的几个方面。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。目前的项目包括研究涉及的随机性和动力学对系统的多重自由度的综合影响。一类问题涉及非线性集体输运，包括固体中裂纹的动力学、地质断层上的地震、超导体中的临界电流和其他击穿现象，以及固体中界面和电荷密度波的运动。在低温下表现出量子行为的系统特别容易受到随机性的影响，并且可以显示出奇异的特性；这种现象将在磁系统和电子系统中进行研究。经典系统中的挫折效应也将被考虑。这项拨款继续研究范围广泛的问题，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。

9976621FisherThis grant continues the support of this well respected PI in several aspects of statistical physics and nonlinear dynamics. The PI has made significant contributions to the class of problems involving interplay between quenched randomness and thermal and quantum fluctuations. The current project encompasses research involving the combined effects of randomness and dynamics on systems with many degrees of freedom. One class of problems involves nonlinear collective transport, which include dynamics of cracks in solids, earthquakes on geological faults, critical current and other breakdown phenomena in superconductors, and the motion of interfaces and charge density waves in solids. Systems which exhibit quantum behavior at low temperatures are particularly susceptible to randomness and can display exotic properties; such phenomena will be studied in both magnetic and electronic systems. Frustration effects in classical systems will also be considered. This grant continues 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.