Boundary Phenomena in Quantum and Classical Systems

9705304梅耶罗维奇该项目由两部分组成。其中一个涉及自旋极化量子系统的物理，特别是自旋动力学。在这里，极化费米液体中的反常零温度自旋衰减，现在已经在实验和理论上得到了很好的证实，然而，它仍然需要被纳入费米液体的一般理论的保护伞下。有计划研究非线性现象，例如在Castaing不稳定性附近。在第二个组成部分中，PI计划开发一个研究边界粗糙度影响的总体框架。这项工作的很大一部分是PI和他的同事最近突破性的形式主义的广泛发展，其中边界粗糙度以整体扭曲的数学形式表示。具体地说，这项研究希望在很高的努森数下描述颗粒流动，并探索摩擦微观模型中的随机边界效应。%续签一位杰出的职业中期PI，这笔赠款支持两个不同项目的工作。在第一部分中，PI将继续他公认的对高度极化系统的研究，相当于磁场中数百特斯拉量级的材料。第二组问题涉及随机/粗糙表面和边界。PI最近发展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。Inpact的可能领域是非常高速度和低密度的颗粒流动和/或了解材料摩擦的模型。***

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. ***