Nonlinear behavior of magnetohydrodynamic modes near marginally stable states. I. General formulation and application to the nonresonant kink modes in a reversed field pinch and to the quasi‐interchange modes in a tokamak
Nonlinear behavior of magnetohydrodynamic modes near marginally stable states. I. General formulation and application to the nonresonant kink modes in a reversed field pinch and to the quasi‐interchange modes in a tokamak
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接近稳定状态的磁流体动力学模式的非线性行为 I. 反向场箍缩中的非共振扭结模式和托卡马克中的准交换模式的一般公式和应用。
DOI：
10.1063/1.859253
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
N. Nakajima
中科院分区：
文献类型：
--
作者：
N. Nakajima
描述非均匀介质中接近边缘稳定状态的模式的时间发展的两种类型的非线性方程是通过在单螺旋性假设下采用围绕边缘稳定状态的摄动展开的通用公式获得的。一种类型的非线性方程具有哈密顿形式，可以解释为中心力势场中粒子的运动方程；另一种类型是朗道方程，该方程在流体动力学中众所周知。前一个方程是当线性算子在边缘稳定状态退化时得到的，对应于线性色散关系在边缘稳定状态频率具有双根的情况，而后者是在线性算子非退化时得到的，即线性色散关系具有单根。在磁流体动力学的框架中，前者对应于非共振理想模式，后者对应于...
Two types of nonlinear equations describing the time development of modes near marginally stable states in an inhomogeneous medium are obtained through a general formulation that employs a perturbation expansion around the marginally stable state under the assumption of a single helicity. One type of nonlinear equation has a Hamiltonian form that may be interpreted as the equation of motion for a particle in the potential field of a central force; the other type leads to the Landau equation, which is well known in fluid dynamics. The former equation is obtained when the linear operator is degenerate at the marginally stable state, which corresponds to the case when the linear dispersion relation has a double root for the frequency at the marginally stable state, whereas the latter is obtained when the linear operator is nondegenerate, i.e., the linear dispersion relation has a single root. In the framework of magnetohydrodynamics, the former corresponds to the nonresonant ideal modes, and the latter to th...
影响因子：
3.3
作者：
A. Gibson;T. Sekiguchi;K. Lackner;S. Bodner;R. Hancox
通讯作者：
A. Gibson;T. Sekiguchi;K. Lackner;S. Bodner;R. Hancox