Topics in Statistical Physics

统计物理专题

• 批准号: 9630064
• 负责人: Daniel Fisher
• 金额: $ 37.5万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-07-01 至 1999-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9630064&HistoricalAwards=false
• 关键词: Topics; Statistical; Physics

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. ***

9630064 Fisher这笔赠款继续在统计物理学的几个方面继续支持这一受人尊敬的PI。 PI对涉及猝灭随机性与热和量子波动之间相互作用的问题类别做出了重大贡献。 当前的重点是随机量子磁铁，肮脏的II型超导体和自旋玻璃中的拓扑涡旋。 该赠款的另一个方面探索了具有阈值效应的非线性驱动系统，并在许多空间和时间尺度上做出响应。 这些例子是固体中断裂的动力学，摩擦，地质断层运动的运动，介电分解和超导体中的临界电流。 最后，有一个项目涉及最近开发的动态平均场理论（无限维度极限）及其在强烈相互作用电子问题上的应用。 %%％该赠款继续在广泛的问题上继续进行工作，这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，固体骨折的动力学，介电击穿以及超导体中强电流的分布的特性。 在另一类问题中，有随机的量子磁铁，超导体中的磁涡流的传播等。这些问题因其复杂性，新颖性和广泛的应用而注意到。 ***