Boundary Phenomena in Quantum and Classical Systems

量子和经典系统中的边界现象

• 批准号: 9705304
• 负责人: Alexander Meyerovich
• 金额: $ 15.6万
• 依托单位: University of Rhode Island
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-07-01 至 2001-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9705304&HistoricalAwards=false
• 关键词: Boundary; Phenomena; Quantum; Classical; Systems

9705304 Meyerovich This project consists of two components. One deals with the physics of spin polarized quantum systems, specifically the spin dynamics. Here the anomalous zero-temperature spin attenuation in polarized Fermi liquids, which is now well established both experimentally and theoretically, nevertheless needs to be brought under the umbrella of a general theory of Fermi liquids. There are plans to study the nonlinear phenomena, e.g. close to the Castaing instability. In the second component, the PI plans to develop a general framework for a study of boundary roughness effects. Much of this work is an extensive development of a recent breakthrough formalism by the PI and his coworkers where the boundary roughness is mathematically expressed in terms of bulk distortions. In details, this research hopes to develop a description of particle flow at very high Knudsen numbers and an exploration of random boundary effects in microscopic models of friction. %%% A renewal to a distinguished mid-career PI, this grant supports work on two different projects. In the first part the PI will continue his well-recognized study of highly polarized systems, equivalent to materials in magnetic fields of the order of hundreds of Tesla. the second group of problems involve random/rough surfaces and boundaries. The PI has recently developed a mathematical formalism, amounting to a major breakthrough in the description of a wide range of problems. The possible areas of inpact are particle flow at very high speeds and low densities and/or models for understanding material friction. ***

9705304 Meyerovich本项目由两部分组成。 一个是自旋极化量子系统的物理学，特别是自旋动力学。 在这里，反常的零温度自旋衰减极化费米液体，这是现在很好地建立在实验和理论上，然而，需要下的费米液体的一般理论的保护伞。 有计划研究非线性现象，例如接近Castaing不稳定性。 在第二部分中，PI计划为边界粗糙度效应的研究制定一个总体框架。 这项工作的大部分是一个广泛的发展，最近突破形式主义的PI和他的同事在数学上表示的边界粗糙度散装扭曲。 具体而言，本研究希望发展一个描述颗粒流在非常高的努森数和探索随机边界效应的微观模型的摩擦。 %一个杰出的职业生涯中期PI的更新，这个补助金支持两个不同项目的工作。 在第一部分中，PI将继续他对高度极化系统的公认研究，相当于数百特斯拉量级磁场中的材料。 第二组问题涉及随机/粗糙表面和边界。 PI最近开发了一种数学形式主义，在描述广泛的问题方面取得了重大突破。 影响的可能领域是非常高速度和低密度的颗粒流和/或用于理解材料摩擦的模型。 ***