Burby J W
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA.
Sci Rep. 2023 Oct 25;13(1):18286. doi: 10.1038/s41598-023-45416-5.
Based on ideas due to Scovel-Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov-Poisson system that exactly preserve that system's Hamiltonian structure. Notably, the technique applies in any space dimension and produces closures involving arbitrarily-large finite collections of moments. After selecting a desired collection of moments, the Poisson bracket for the closure is uniquely determined. Therefore data-driven fluid closures can be constructed by adjusting the closure Hamiltonian for compatibility with kinetic simulations.
基于斯科维尔 - 温斯坦提出的想法，我提出了一个用于构建弗拉索夫 - 泊松系统流体矩封闭模型的通用框架，该框架能精确保持该系统的哈密顿结构。值得注意的是，该技术适用于任何空间维度，并能生成涉及任意大的有限矩集合的封闭模型。在选择了所需的矩集合之后，封闭模型的泊松括号就被唯一确定。因此，可以通过调整封闭哈密顿量以使其与动力学模拟兼容来构建数据驱动的流体封闭模型。
