电阻壁包围下流动MHD等离子体的李雅普诺夫稳定性
Lyapunov stability of flowing MHD plasmas surrounded by resistive walls
摘要:
本文用FriedemanRotenberg拉格朗日稳定性公式[Rev.Mod.Phys.32,898(1960)]导出了具有电阻壁的等离子体真空系统的一般稳定性条件。结果表明,外模的李雅普诺夫稳定性极限不依赖于陀螺项,但在扰动势能的符号。在等离子体中没有耗散(例如粘度)的情况下,预期流动不能使系统稳定。
英文摘要:
A general stability condition for plasma-vacuum systems with resistive walls is derived by using the Frieman Rotenberg lagrangian stability formulation [Rev. Mod. Phys. 32, 898 (1960)]. It is shown that the Lyapunov stability limit for external modes does not depend upon the gyroscopic term but upon the sign of the perturbed potential energy only. In the absence of dissipation in the plasma such as viscosity, it is expected that the flow cannot stabilize the system.
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