Pattern Formation in Nonlinear, Nonequilibrium Systems

9813409 Gunton该奖项支持在远离平衡的各种系统中模式形成的研究。 建议的工作是时空混沌，并寻求探索的建议，混沌系统的某些属性是广泛的热力学极限。 PI与一位初级同事一起开发了并行代码，并在并行计算机上获得了支持拟议工作的资源。 其他的理论问题，将被解决，包括推导出一个长波长，随机模型，并表现出时空混沌系统的结构因子的计算。 这些系统包括Rayleigh-Benard对流（流体和液晶中图案形成的当前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。 PI将使用最先进的计算，因为他寻求更深入地理解在看似不同的系统中形成模式的基本物理原理。 这些系统的例子对日常生活也很重要，包括晶体的生长和湍流。 这项研究也将有助于一本教科书，这是正在编写的PI与另一位学者合作，并帮助推进在保龄球绿色大学的初级研究员的研究生涯。

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.***