Boundary Phenomena in Quantum and Classical Systems

9705304 Meyerovich本项目由两部分组成。一门是关于自旋极化量子系统的物理学，特别是自旋动力学。在这里，极化费米液体中的反常零度自旋衰减，虽然已经在实验和理论上得到了很好的证实，但仍需要纳入费米液体的一般理论。有计划地研究非线性现象，例如接近浇铸失稳。在第二部分，PI计划开发一个研究边界粗糙度效应的一般框架。这项工作的大部分是对PI和他的同事最近突破性的形式主义的广泛发展，其中边界粗糙度用体积扭曲的数学形式表示。详细地说，这项研究希望在非常高的克努森数下对颗粒流动进行描述，并探索微观摩擦模型中的随机边界效应。作为一名杰出的职业中期PI的续期，这项资助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（相当于数百特斯拉量级磁场中的材料）的公认研究。第二组问题涉及随机/粗糙的表面和边界。PI最近发展了一种数学形式，在描述广泛的问题方面取得了重大突破。可能的影响领域是非常高速和低密度的颗粒流和/或用于理解材料摩擦的模型。＊＊＊

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. ***