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Electron inertial effects on the resistive magnetohydrodynamic spectrum of a magnetic X-point

机译:电子惯性对磁性X点的电阻磁流体动力学谱的影响

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摘要

The mode spectrum associated with a magnetic X-point is determined, taking into account resistivity and electron inertia. The assumed equilibrium configuration has zero current. The eigenmodes are expressed in terms of solutions of the hypergeometric equation, and are also computed numerically. The spectrum is shown to exhibit a rich structure of continuum and discrete modes. When both resistivity and electron inertia are present, there are two distinct continua associated with singular current sheets and infinite kinetic energy, corresponding to zero and finite real mode frequencies. A finite number of discrete modes can also exist, depending on the Lundquist number and the collisionless skin depth.
机译:考虑到电阻率和电子惯性,确定了与磁性X点关联的模式光谱。假定的平衡配置具有零电流。本征模以超几何方程的解表示,并且也通过数值计算。光谱显示出具有丰富的连续模和离散模结构。当同时存在电阻率和电子惯性时,存在两个与奇异电流表和无限动能相关的截然不同的连续性,分别对应于零和有限的实模式频率。取决于Lundquist数和无碰撞趋肤深度,也可以存在有限数量的离散模式。

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