论文标题
一维Vlasov-Poisson系统的层次结构
Hierarchical foliation of one-dimensional Vlasov-Poisson system
论文作者
论文摘要
我们通过研究一维Vlasov-Poisson系统的泊松代数结构来阐明宏观流体模型的中间体和微观动力学模型。水袋模型有助于制定次要代数的层次结构，从而插入了流体和动力学模型之间的间隙。通过分析中间层次结构的子序列的嵌入在更微观的层次结构中，我们将显微镜效应表征为与宏观不变的对称性破坏。
We elucidate the intermediate of the macroscopic fluid model and the microscopic kinetic model by studying the Poisson algebraic structure of the one-dimensional Vlasov-Poisson system. The water-bag model helps formulating the hierarchy of sub-algebras, which interpolates the gap between the fluid and kinetic models. By analyzing the embedding of the sub-manifold of an intermediate hierarchy in a more microscopic hierarchy, we characterize the microscopic effect as the symmetry breaking pertinent to a macroscopic invariant.
