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首页> 外文期刊>Plasma physics and controlled fusion >Ideal instabilities in a high-beta rotating cylindrical plasma in the presence of an azimuthal magnetic field and a gravitational field
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Ideal instabilities in a high-beta rotating cylindrical plasma in the presence of an azimuthal magnetic field and a gravitational field

机译：在存在方位角磁场和重力场的情况下，高β旋转圆柱等离子体中的理想不稳定性

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摘要

Magnetohydrodynamic (MHD) theory of ideal instabilities in a high-beta rotating cylindrical plasma with an azimuthal magnetic field and a radial gravitational field is developed (beta is the ratio of the plasma and magnetic field pressures). The basis of this theory is a system of two first-order differential equations for the Frieman-Rotenberg variable ( the sum of the perturbed plasma and magnetic field pressures) and the radial plasma displacement, which leads to the second-order differential equation for the displacement. The sausage instability criterion is derived which generalizes the earlier results for a plasma without gravitation. It is shown that this instability can occur for both the decreasing and increasing plasma pressures. The non-axisymmetric modes are also considered. This analysis is related to the MHD instability theory in a nonrotating plasma dealing with snake instabilities. A number of rotational and gravitational effects on both the m = 1 and m > 1 modes are revealed, where m is the azimuthal mode number. The eigenmode equation describing the Suydam modes in the presence of rotational and gravitational effects is derived. These modes can be responsible, in particular, for the Velikhov and rotational-convective instabilities.
机译：磁流体动力学（MHD）理论在具有贝塔角磁场和径向重力场的高β旋转圆柱形等离子体中具有理想的不稳定性（β是等离子体与磁场压力之比）。该理论的基础是一个由两个Frieman-Rotenberg变量的一阶微分方程（扰动的等离子体和磁场压力之和）和径向等离子体位移组成的系统，这导致了Frieman-Rotenberg变量的二阶微分方程。移位。得出了香肠不稳定性判据，该判据概括了没有引力的血浆的早期结果。结果表明，这种不稳定性会随着血浆压力的降低和升高而发生。还考虑了非轴对称模式。这种分析与在处理蛇形不稳定性的非旋转等离子体中的MHD不稳定性理论有关。揭示了在m = 1和m> 1模态下的许多旋转和引力效应，其中m是方位模态数。推导了描述存在旋转和引力作用的Suydam模的本征模方程。这些模式尤其可能导致Velikhov和旋转对流不稳定性。

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