Hamiltonian study of infinite-dimensional mode couplings in non-uniform plasmas

为了理解天体物理和实验室等离子体中非均匀空间结构的形成机制，发展了针对全局（或长波长）波动的一般模式耦合理论，对于这种波动，传统的局部（或短波长）近似是无效的。通过发展基于无穷维哈密顿系统理论的新数学技术，成功地建立了包括连续谱在内的全局模式耦合，并将其应用于具体现象。

Toward understanding the formation mechanisms of non-uniform spatial structures in astrophysical and laboratory plasmas, general mode-coupling theory is developed for global (or long wavelength) fluctuations, for which the conventional local (or short wavelength) approximation is not valid. By developing new mathematical techniques that base on the theory of infinite-dimensional Hamiltonian system, the global mode-coupling, which may include continuous spectrum, is successfully formulated and it is applied to specific phenomena.