SGER: Nonstationary Time Series Analysis and Qualitative Nonlinear Dynamics of Nonequilibrium Nanoscale Processes

SGER：非平衡纳米级过程的非平稳时间序列分析和定性非线性动力学

• 批准号: 0533042
• 负责人: Craig Martens
• 金额: --
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-08-01 至 2007-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0533042&HistoricalAwards=false
• 关键词: SGER; Nonstationary; Time; Series; Analysis

Craig Martens of the University of California, Irvine, is supported by a Small Grant for Exploratory Research (SGER) from the Theoretical and Computational Chemistry program to begin a project aimed at developing theoretical methods for nonstationary time series analysis and qualitative nonlinear dynamics of nonequilibrium nanoscale processes. In this project the PI is conducting investigations of ultrafast dynamical processes in condensed phase systems using novel computational methodology. The work is focusing on the analysis, visualization, and theoretical modeling of complex nonequilibrium dynamics in many-body systems. The aim of the project is to bridge the gap between the massive amounts of atomic-scale information generated in simulations and descriptions of such systems in terms of simple qualitative concepts and quantitative analytical theories. The computational tools that are being developed combine large-scale classical molecular dynamics simulation, novel analysis of microscopic trajectory data using nonstationary time series methodology based on Wigner-Ville and wavelet representations, and the construction of qualitative pictures and quantitative models that caricature the essential dynamical features and can be validated against numerical and laboratory experiments. The computational and theoretical approach is applied to a range of ultrafast many-body physical and chemical processes. These include vibrational relaxation and the coherent nonlinear interaction of nanoscale shock waves and intramolecular degrees of freedom. The proposed work will contribute to the general understanding of nonequilibrium and nonlinear dynamical effects in complex systems by providing both tools for simulation of such processes and an intuitive framework for their interpretation and theoretical modeling.

加州大学欧文分校的克雷格·马滕斯（Craig Martens）在理论和计算化学项目的探索性研究小额资助（SGER）的支持下，开始一个项目，旨在开发非平稳时间序列分析的理论方法和非平衡纳米尺度过程的定性非线性动力学。在这个项目中，PI正在使用新的计算方法研究凝聚相系统中的超快动力学过程。工作重点是多体系统中复杂非平衡动力学的分析、可视化和理论建模。该项目的目的是弥合模拟中产生的大量原子级信息与简单定性概念和定量分析理论对此类系统的描述之间的差距。正在开发的计算工具结合了联合收割机大规模的经典分子动力学模拟，新的分析微观轨迹数据使用非平稳时间序列方法的基础上Wigner-Ville和小波表示，以及定性图片和定量模型的建设，漫画的基本动力学特征，并可以验证对数值和实验室实验。计算和理论方法适用于一系列超快多体物理和化学过程。这些包括振动弛豫和纳米级冲击波和分子内自由度的相干非线性相互作用。拟议的工作将有助于在复杂系统中的非平衡和非线性动力学效应的一般理解，通过提供这类过程的模拟工具和一个直观的框架，他们的解释和理论建模。