Supplement: Waves and Chaos in the Electrodynamics of Plasmas

这个项目涉及磁化等离子体中波的电动力学及其相互作用。建议的研究侧重于新的方法和对与相干动力学和混沌动力学相关的非线性等离子体电动力学现象的理解。这包括三个相互关联的主要研究：(1)混沌动力学和扩散；(2)波诱导的混沌和空间扩散；以及(3)不稳定引起的时空混沌。该项目理论工作的主要目标是模拟和理解上述现象，因为它们与新的和可能具有重大意义的工程和科学应用有关。这些包括等离子体加热、传输的修正和不稳定性的控制，例如用于相干电磁源的高能等离子体、聚变能源研究、电离层和空间传播研究以及流体动力学流动。在可能和适当的情况下，使用相关的和正在进行的实验工作来测试和评估分析结果。这项拟议的工作旨在强调我们对等离子体电动力学的基本理解的进步，这可能会超越目前的实验和应用。

This project concerns itself with the electrodynamics of waves and their interactions in magnetized plasmas. The proposed research places emphasis on new approaches and understanding of nonlinear plasma electrodynamics phenomena associated with coherent versus chaotic dynamics. This encompasses three interrelated, major studies: (1) Chaotic dynamics and diffusion; (2) Wave induced chaos and spatial diffusion; and (3) Space-time chaos from instability. The major objective of the theoretical work of this project is the modeling and understanding of the above mentioned phenomena as they relate to new and potentially significant engineering and scientific applications. These include plasma heating, modification of transport, and control of instabilities, as for example in energetic plasmas for coherent electromagnetic sources, in fusion energy research, in ionospheric and space propagation studies, and in fluid dynamic flows. Wherever possible and appropriate, relevant and ongoing experimental work is used to test and evaluate the analytical results. The proposed work seeks to emphasize the advance in our basic understanding of plasma electrodynamics that may transcend current experiments and applications.