BBGKY集体动力学从定域到随机
From Localization to Stochastics in BBGKY Collective Dynamics
摘要：
基于BBGKY族动力学方程，提出了一种快速有效的数值分析方法，用于模拟加速器/等离子体物理模型中复杂的集体行为。我们的计算是基于变分和多分辨方法的多项式张量代数的广义相干态/小波的基础上。通过高局域本征模的多尺度分解，我们构造了约化分布函数的层次表示。数值模拟显示，从本地化模式，这是有关的稳定/不稳定类型的行为和相应的模式（waveletons）的形成不同的内部相干结构的创建。
英文摘要：
Fast and efficient numerical-analytical approach is proposed for modeling complex collective behaviour in accelerator/plasma physics models based on BBGKY hierarchy of kinetic equations. Our calculations are based on variational and multiresolution approaches in the bases of polynomial tensor algebras of generalized coherent states/wavelets. We construct the representation for hierarchy of reduced distribution functions via the multiscale decomposition in high-localized eigenmodes. Numerical modeling shows the creation of different internal coherent structures from localized modes, which are related to stable/unstable type of behaviour and corresponding pattern (waveletons) formation.
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