Focused Research Group: Analysis and Simulation of Magnetic Devices

奖项编号：0101439PI: Kohn， robert机构：纽约大学项目：应用数学项目经理：Catherine mavriplis标题：重点研究小组：磁性器件的分析与仿真纳米级磁性器件具有重要的技术意义。该项目将通过建模、分析、仿真和实验的协调程序来推进我们对它们特性的理解。要讨论的主题包括：(a)发展改进的模拟磁性材料和器件的数值方法；(b)探索微磁“能量景观”和噪声在热激活开关中的作用；(c)研究特定的纳米尺度效应，如结构各向异性和几何约束壁。数学有很多贡献，也有很多收获。对适当极限的研究导致了具有挑战性的分析问题，这些问题的解决将揭示基本物理学。噪声和开关的分析导致了能源景观的研究和随机偏微分方程的物理相关的例子。与实验室实验相协调的建模将完善我们对相关现象的理解。这个重点研究小组的活动将从一个由数学家、物理学家和计算科学家组成的多学科小组中汲取专业知识。该项目包括与IBM的合作以及博士后科学家和研究生的培训。磁存储装置是现代计算的基础。它们的建模、模拟、分析和设计提出了一些基本的物理和数学问题，其中许多问题仍然没有答案。随着器件尺寸的减小，相关科学也发生了变化：缺陷、空间无序和热波动在纳米尺度下变得至关重要。数学有很多贡献，也有很多收获。对适当极限的研究导致了具有挑战性的分析问题，这些问题的解决将揭示基本物理学。噪声和开关的分析将以三管齐下的方式进行研究：数学分析、数值模拟和实验研究。与实验室实验相协调的建模将完善我们对相关现象的理解。这个重点研究小组的活动将从一个由数学家、物理学家和计算科学家组成的多学科小组中汲取专业知识。该项目包括与IBM的合作以及博士后科学家和研究生的培训。日期：2001年6月26日

DMS Award AbstractAward #: 0101439PI: Kohn, RobertInstitution: New York University Program: Applied Mathematics Program Manager: Catherine MavriplisTitle: Focused Research Group: Analysis and Simulation of Magnetic DevicesNanoscale magnetic devices are of critical technological importance. This project will advance our understanding of their properties through a coordinated program of modeling, analysis, simulation and experiment. Topics to be addressed include (a) development of improved numerical methods for the simulation of magnetic materials and devices; (b) exploration of the micromagnetic "energy landscape" and the role of noise in thermally activated switching; and (c) investigation of specific nanoscale effects such as configurational anisotropy and geometrically constrained walls. Mathematics has much to contribute and much to gain. The study of appropriate limits leads to challenging problems of analysis whose solution will shed light on the essential physics. The analysis of noise and switching leads to the study of the energy landscape and to physically relevant examples of stochastic partial differential equations. Modeling coordinated with laboratory experiments will refine our understanding of the relevant phenomena. This Focused Research Group activity will draw expertise from a multidisciplinary group of mathematicians, physicists and computational scientists. The project includes a collaboration with IBM and training of postdoctoral scientists and graduate students. Magnetic storage devices lie at the foundation of modern computing. Their modeling, simulation, analysis and design raise fundamental questions of physics and mathematics, many still unanswered. As device size decreases, the relevant science changes: defects, spatial disorder and thermal fluctuations become crucial in the nanoscale regime. Mathematics has much to contribute and much to gain. The study of appropriate limits leads to challenging problems of analysis whose solution will shed light on the essential physics. The analysis of noise and switching will be studied in a three-pronged approach: by mathematical analysis, numerical modeling and experimental investigation. Modeling coordinated with laboratory experiments will refine our understanding of the relevant phenomena. This Focused Research Group activity will draw expertise from a multidisciplinary group of mathematicians, physicists and computational scientists. The project includes a collaboration with IBM and training of postdoctoral scientists and graduate students. Date: June 26, 2001