Hierarchical foliation of one-dimensional Vlasov-Poisson system
Plasma Physics
2022-09-07 v1
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.
Keywords
Cite
@article{arxiv.2208.10891,
title = {Hierarchical foliation of one-dimensional Vlasov-Poisson system},
author = {K. Maekaku and Z. Yoshida},
journal= {arXiv preprint arXiv:2208.10891},
year = {2022}
}