Pattern Formation in Nonlinear, Nonequilibrium Systems

非线性、非平衡系统中的模式形成

• 批准号: 9813409
• 负责人: James Gunton
• 金额: $ 23.81万
• 依托单位: Lehigh University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-11-01 至 2002-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9813409&HistoricalAwards=false
• 关键词: Pattern; Formation; Nonlinear; Nonequilibrium; Systems

9813409GuntonThis award supports the study of pattern formation in a variety of systems far from equilibrium. The proposed work is on spatiotemperal chaos and seeks to explore the proposal that some properties of chaotic systems are extensive in the thermodynamic limit. The PI together with a junior colleague have developed parallel codes and have secured resources on parallel computers in support of the proposed work. Other theoretical issues that will be addressed include the derivation of a long wavelength, stochastic model, and a calculation of the structure factor for systems which exhibit spatiotemporal chaos. These systems include Rayleigh-Benard convection (a paradigm for current experimental and theoretical studies of pattern formation in fluids and liquid crystals) and a generalized Burgers model of seismic wave propagation. %%%Research and education are supported by this award to investigate pattern formation in a variety of systems that are not in equilibrium. The PI will use state-of-the-art computing as he seeks a deeper understanding of the fundamental physical principles that underlie pattern formation in seemingly diverse systems. Examples of such systems that are also important to everyday life include the growth of crystals and turbulence. This research will also contribute to a textbook that is being written by the PI in collaboration with another scholar and help advance the research career of a junior investigator at Bowling Green University.***

9813409Gunton该奖项支持对远离平衡的各种系统中图案形成的研究。这项工作是关于时空混沌的，并试图探索混沌系统的某些性质在热力学极限下是广泛存在的。PI与一名初级同事一起开发了并行代码，并在并行计算机上获得了资源，以支持拟议的工作。其他要解决的理论问题包括长波随机模型的推导，以及时空混沌系统的结构因子的计算。这些系统包括瑞利-贝纳德对流(一种目前用于流体和液晶中图案形成的实验和理论研究的范例)和地震波传播的广义Burgers模型。%该奖项支持研究和教育，以调查各种不平衡系统中的模式形成。这位PI将使用最先进的计算技术，因为他寻求更深入地理解在看似不同的系统中形成图案的基本物理原理。对日常生活也很重要的这类系统的例子包括晶体的生长和湍流。这项研究还将有助于国际和平研究所与另一位学者合作编写的教科书，并有助于推进鲍林格林大学初级研究员的研究生涯。