CAREER: Computational Science Far-from-Equilibrium and in the Classroom

0094178 EGolf这是一个大型计算程序的职业奖项，该程序研究表现出时间混乱、空间无序行为的远离平衡的动力系统的性质。这种持续的、复杂的动力学行为在各种各样的系统中被发现，例如心脏组织纤颤、大口径激光、行星大气和海洋、流体湍流和环境生态系统，由于这些系统中的强非线性和缺乏极值原理，目前还不能很好地理解这些系统。赠款的目标是开发新的工具来分析这些复杂的动力系统，并使用这些工具来实现对重要的内部动力过程的理解。这样的理解最终可能导致一个统一的统计理论，用于描述这些系统的宏观属性，而不需要详细了解微观行为。通过对实验相关方程和更简单的模型方程的计算研究，将回答三个问题：(I)这些系统中混沌行为的来源是什么，这些确定性来源是如何导致系统失去可预测性和有效的随机性质的？(2)在简化的动力学描述中，适当的介观自由度是多少？(Iii)我们可以利用平衡统计力学的哪些性质来描述具有不同微观物理过程的远离平衡的系统的长波性质？这项工作的结果不仅将导致更好地理解远离平衡的系统的行为，而且将为分析和模拟其他高度复杂的科学和商业重要现象提供新的工具。此外，作为该项目的一部分，将为乔治敦大学工业物理专业的高水平本科生和研究生开发新的跨学科课程。通过上述研究的实施，本科生和博士后研究员将发展大规模计算和建模以及分析复杂现象的技能，这将在广泛的科学领域为学生和博士后研究员的职业生涯提供良好的服务。此外，还将开发一项外展计划，将快速发展的计算科学领域带给高中学生和教师。国际和平研究所和乔治敦大学的其他人将为为科学博览会和英特尔科学人才搜索准备计算科学项目的学生提供指导和指导。%这是一个大型计算项目的职业奖项，该项目研究表现出时间混乱、空间无序行为的远离平衡的动力系统的性质。这种持续的、复杂的动力学行为在各种各样的系统中被发现，例如心脏组织纤颤、大口径激光、行星大气和海洋、流体湍流和环境生态系统，由于这些系统中的强非线性和缺乏极值原理，目前还不能很好地理解这些系统。赠款的目标是开发新的工具来分析这些复杂的动力系统，并使用这些工具来实现对重要的内部动力过程的理解。此外，作为该项目的一部分，将为乔治敦大学工业物理项目的本科生和研究生开发新的跨学科计算科学课程。通过上述研究的实施，本科生和博士后研究员将发展大规模计算和建模以及分析复杂现象的技能，这将在广泛的科学领域为学生和博士后研究员的职业生涯提供良好的服务。此外，还将开发一项外展计划，将快速发展的计算科学领域带给高中学生和教师。乔治敦大学的PI和其他人将为准备科学博览会和英特尔科学人才搜索的计算科学项目的学生提供指导和指导。*

0094178EgolfThis is a CAREER award for a program of large-scale computation to study the properties of far-from-equilibrium dynamical systems that exhibit temporally-chaotic, spatially-disordered behavior. This persistent, complex dynamical behavior found in a wide variety of systems such as fibrillating heart tissue, large aperture lasers, planetary atmospheres and oceans, fluid turbulence, and environmental ecosystems is currently not well understood due to the strong nonlinearities and the lack of an extremal principle in these systems. The grant goals are to develop new tools for analyzing these complicated dynamical systems and to use these tools to achieve an understanding of the important internal dynamical processes. Such an understanding could ultimately lead to a unified statistical theory for describing the macroscopic properties of these systems without detailed knowledge of the microscopic behavior. Through computational studies of experimentally relevant equations and simpler model equations, three questions will be answered: (i) What are the sources of chaotic behavior in these systems and how do these deterministic sources lead to loss of predictability and the effective stochastic nature of the systems? (ii) What are the appropriate mesoscopic degrees of freedom in a reduced description of the dynamics? (iii) Which properties of equilibrium statistical mechanics can we salvage for a description of the long-wavelength properties of far-from-equilibrium systems with differing microscopic physical processes? The results of this work will lead not only to a better understanding of the behavior of far-from-equilibrium systems, but will provide new tools for analyzing and simulating other highly complex scientifically and commercially important phenomena.Also, as part of this project, new interdisciplinary courses will be developed in computational science for upper-level undergraduates and graduate students in the industrial physics program at Georgetown. Through performance of the research described above, undergraduates and postdoctoral fellows will develop skills in large-scale computing and modeling and in analyzing complex phenomena, which will serve the students and postdoctoral fellows well in careers in a wide variety of scientific fields. Also, an outreach program will be developed to bring the fast-evolving field of computational science to high school students and teachers. The PI and others at Georgetown will provide guidance and mentoring for students preparing computational science projects for science fairs and the Intel Science Talent Search.%%% This is a CAREER award for a program of large-scale computation to study the properties of far-from-equilibrium dynamical systems that exhibit temporally-chaotic, spatially-disordered behavior. This persistent, complex dynamical behavior found in a wide variety of systems such as fibrillating heart tissue, large aperture lasers, planetary atmospheres and oceans, fluid turbulence, and environmental ecosystems is currently not well understood due to the strong nonlinearities and the lack of an extremal principle in these systems. The grant goals are to develop new tools for analyzing these complicated dynamical systems and to use these tools to achieve an understanding of the important internal dynamical processes. Also, as part of this project, new interdisciplinary courses will be developed in computational science for upper-level undergraduates and graduate students in the industrial physics program at Georgetown. Through performance of the research described above, undergraduates and postdoctoral fellows will develop skills in large-scale computing and modeling and in analyzing complex phenomena, which will serve the students and postdoctoral fellows well in careers in a wide variety of scientific fields. Also, an outreach program will be developed to bring the fast-evolving field of computational science to high school students and teachers. The PI and others at Georgetown will provide guidance and mentoring for students preparing computational science projects for science fairs and the Intel Science Talent Search.***