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arXiv · 2208.10891

Hierarchical foliation of one-dimensional Vlasov-Poisson system

K. Maekaku·Z. Yoshida
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Abstract

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.

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K. Maekaku, Z. Yoshida. 2022-08-23. Hierarchical foliation of one-dimensional Vlasov-Poisson system. https://doi.org/10.1063/5.0089574

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