单螺旋、不可压缩磁流体动力学的哈密顿结构及其在磁动力不稳定性中的应用
等离子体物理
2024-12-03 v2
摘要
在圆柱坐标系中，推导了单螺旋、不可压缩磁流体动力学 (MHD) 的四场简化模型。找到了合适的非规范变量，厘清了哈密顿量、Lie-Poisson 括号以及 Casimir 不变量。给出了关于 Lie-Poisson 括号性质的详细证明：(i) 反对称性，(ii) Leibniz 法则，以及 (iii) Jacobi 恒等式。presented two applications: the first is that the local dispersion relation of axisymmetric magnetohydrodynamics (MRI) is properly reproduced, and the second is that linear stability analyses including negative-energy MRI were successfully performed.
引用
@article{arxiv.2410.05745,
title = {Hamiltonian structure of single-helicity, incompressible magnetohydrodynamics and application to magnetorotational instability},
author = {M. Furukawa and M. Hirota},
journal= {arXiv preprint arXiv:2410.05745},
year = {2024}
}
备注
submitted to Physics of Plasmas