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Dissipative instability of the MHD tangential discontinuity in magnetized plasmas with anisotropic viscosity and thermal conductivity

机译:具有各向异性粘度和导热性的磁化等离子体中MHD切向不连续性的耗散不稳定性

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摘要

The stability of the MHD tangential discontinuity is studied in compressiblo plas?mas in the presence of anisotropic viscosity and thermal conductivity. The general dispersion equation is derived, and solutions to this dispersion equation and stabil?ity criteria are obtained for the limiting cases of incompressible and cold plasmas. In these two limiting cases the effect of thermal conductivity vanishes, and the solutions are only influenced by viscosity. The stability criteria for viscous plasmas are compared with those for ideal plasmas, where stability is determined by the Kelvin-Helmholtz velocity Vkh as a threshold for the difference in the equilibrium velocities. Viscosity turns out to have1 a destabilizing influence when the viscosity coefficient takes different values at the two sides of the discontinuity. Viscosity lowers the threshold velocity Vc below the ideal Kelvin-Helmholtz velocity Vkh, so that there is a range of velocities between Vc and Vkh where the overstability is of a diwsipative nature.
机译:在各向异性粘度和热导率存在的情况下,在压缩质膜中研究了MHD切向不连续性的稳定性。推导了一般色散方程,并针对不可压缩和冷等离子体的极限情况,获得了该色散方程的解和稳定性标准。在这两种极限情况下,导热系数的影响消失了,溶液仅受粘度影响。将粘性等离子体的稳定性标准与理想等离子体的稳定性标准进行比较,理想的等离子体的稳定性由开尔文-亥姆霍兹速度Vkh作为平衡速度差异的阈值确定。当粘度系数在不连续的两侧采用不同的值时,粘度会产生不稳定的影响。粘度将阈值速度Vc降低到理想的开尔文-亥姆霍兹速度Vkh以下,因此在Vc和Vkh之间存在一定范围的速度,其中过稳定性具有扩散性。

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