Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model
Linear stability of static equilibrium states in the Hall-magnetohydrodynamics model
复制标题
霍尔磁流体动力学模型中静态平衡态的线性稳定性
DOI：
10.1063/1.1784453
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
R. Torasso
中科院分区：
文献类型：
--
作者：
E. Hameiri;R. Torasso
给出了经霍尔效应修正的磁流体动力学（MHD）等离子体模型的哈密顿公式，并研究了其稳定性能。研究发现，在大多数情况下，稳定的MHD等离子体在加入霍尔效应后仍然保持稳定。最显着的例外是当压力分布随密度增加而减小或熵随密度增加时。在某些情况下，方程的哈密顿结构能够导出限制复平面中特征频率位置的边界。过稳定现象（即边缘稳定的本征频率的实部不会消失）似乎很典型。
The magnetohydrodynamic (MHD) plasma model, as modified by the Hall effect, is given a Hamiltonian formulation and its stability properties are studied. It is found that, in most cases, a stable MHD plasma remains stable after the addition of the Hall effect. The most notable exceptions are when the pressure profile decreases with increasing density or when the entropy increases with density. The Hamiltonian structure of the equations enables the derivation of bounds that restrict the location of eigenfrequencies in the complex plane in some cases. The phenomenon of overstability, whereby the real part of a marginally stable eigenfrequency does not vanish, appears to be typical.