Dynamical Models with Anomalous Ordering Kinetics: Applications to Alloys and Other Complex Systems

具有反常有序动力学的动力学模型：在合金和其他复杂系统中的应用

• 批准号: 9815986
• 负责人: Bulbul Chakraborty
• 金额: $ 18.3万
• 依托单位: Brandeis University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-02-01 至 2003-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9815986&HistoricalAwards=false
• 关键词: Dynamical; Models; Anomalous; Ordering; Kinetics

9815986ChakrabortyThis award supports research in growth kinetics. The PI will investigate models where frustration or defects lead to slow dynamics. Langevin-type dynamical models of alloys where the order-disorder transition is accompanied by a structural distortion will be studied. Interactions and pair-correlation functions calculated from electronic structure theory will be used to construct these models. Fluctuation driven first order transitions that occur in diblock copolymers and are also believed to be relevant to ordering in a large class of alloys will be studied. A combination of numerical simulation and field theory techniques using the dynamical action formalism will be used to investigate nucleation and growth processes that occur in these transitions. Quantum Monte Carlo simulations of a frustrated spin model inspired by studies of alloys will be carried out. The aim of this work is to gain insight into the nature of the glass transition and the origin of slow dynamics and aging in glasses. %%%This award supports multidisciplinary research and education to study processes that occur on long time scales and are important to growth and phase transitions that occur in alloys, polymers, and glasses. These studies include the kinetics of growth in transition metal alloys such as Ni-V, Cu-Pd, and Cu-Au and phase transitions in diblock copolymers. ***

9815986Chakraborty 该奖项支持生长动力学研究。 PI 将调查因挫折或缺陷导致动态缓慢的模型。 将研究合金的朗之万型动力学模型，其中有序-无序转变伴随着结构畸变。 根据电子结构理论计算的相互作用和成对相关函数将用于构建这些模型。 将研究二嵌段共聚物中发生的波动驱动的一阶转变，并且也被认为与一大类合金的有序化相关。 使用动态作用形式的数值模拟和场论技术的结合将用于研究这些转变中发生的成核和生长过程。 受合金研究启发，将对受挫自旋模型进行量子蒙特卡罗模拟。 这项工作的目的是深入了解玻璃化转变的本质以及玻璃缓慢动力学和老化的起源。 %%%该奖项支持多学科研究和教育，以研究长时间尺度上发生的过程，这些过程对于合金、聚合物和玻璃中发生的生长和相变很重要。 这些研究包括过渡金属合金（如 Ni-V、Cu-Pd 和 Cu-Au）的生长动力学以及二嵌段共聚物的相变。 ***