Focused Research Group: Analysis and Simulation of Magnetic Devices

重点研究组：磁性器件分析与仿真

• 批准号: 0101439
• 负责人: Robert Kohn
• 金额: $ 75.06万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-08-01 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0101439&HistoricalAwards=false
• 关键词: Focused; Research; Group; Analysis; Simulation

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

DMS Award AbstractAward #： 0101439 PI： Kohn，RobertInstitution： 纽约大学项目： 应用数学项目经理：凯瑟琳Mavriplis标题：重点研究小组：分析和模拟磁性器件纳米磁性器件是至关重要的技术重要性。该项目将通过建模，分析，模拟和实验的协调程序来促进我们对它们的性质的理解。将讨论的主题包括：（a）改进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）研究特定的纳米级效应，如构型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的物理学。噪声和开关的分析导致研究的能源景观和物理相关的随机偏微分方程的例子。与实验室实验协调的建模将完善我们对相关现象的理解。这一重点研究小组的活动将吸引来自数学家，物理学家和计算科学家的多学科小组的专业知识。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。磁存储设备是现代计算的基础。它们的建模、模拟、分析和设计提出了物理和数学的基本问题，其中许多问题仍然没有得到解答。随着器件尺寸的减小，相关的科学也发生了变化：缺陷、空间无序和热波动在纳米级领域变得至关重要。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的物理学。噪声和开关的分析将研究在一个三管齐下的方法：数学分析，数值模拟和实验研究。与实验室实验协调的建模将完善我们对相关现象的理解。这一重点研究小组的活动将吸引来自数学家，物理学家和计算科学家的多学科小组的专业知识。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：二○ ○一年六月二十六日