Linear instability of Z-pinch in plasma: Inviscid case
Linear instability of Z-pinch in plasma: Inviscid case
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DOI：
10.1142/s0218202521500093
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
Dongfen Bian;Yan Guo;Ian Tice
中科院分区：
文献类型：
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作者：
Dongfen Bian;Yan Guo;Ian Tice
z-pinch是MHD模型的经典稳态，其中受限等离子体流体在沿z方向由规定电流产生的磁场存在下被真空分离。我们开发了一个变分框架来研究它在没有粘度效应的情况下的稳定性，并首次证明了任何这样的z-pinch总是不稳定的。此外，我们还发现了特征值可以无界的一个充分条件，从而导致线性化MHD系统的病态性。
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the z direction. We develop a variational framework to study its stability in the absence of viscosity effect, and demonstrate for the first time that any such a z-pinch is always unstable. Moreover, we discover a sufficient condition such that the eigenvalues can be unbounded, which leads to ill-posedness of the linearized MHD system.