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中国物理学会期刊

黏滞等离子体中双撕裂模不稳定性的数值模拟研究

CSTR: 32037.14.aps.62.025205

Numerical study of double tearing mode instability in viscous plasma

CSTR: 32037.14.aps.62.025205
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  • 本文采用磁流体力学模型, 数值研究了平板位形下双撕裂模线性增长率关于等离子体电阻η和黏滞ν的定标关系. 结果表明, 对于有理面间距较大的情况, 线性增长率关于电阻和黏滞的指数定标率随着黏滞的增加逐渐由γ∝η3/5ν0的定标变化到 γ∝η5/6ν-1/6的定标; 而对于有理面间距较小的情况, 其指数定标率随着黏性的增加从γ∝η1/3ν0的定标逐渐变化到γ∝η2/3ν-1/3 的定标. 本文还给出了初始阶段对称的双撕裂模的非线性演化, 发现在非线性阶段对称的双撕裂模将转化为反对称的双撕裂模, 并解释了相应的物理机理.

     

    The scalings of double tearing mode (DTM) with various values of resistivity and viscosity have been investigated numerically by using a magneto hydrodynamic model in slab geometry. It is found that the growth rate changes from γ∝η3/5ν0 to γ∝η5/6ν-1/6 when the distance between two rational surfaces 2xs is sufficiently large. On the other hand, when the distance between two rational surfaces 2xs is very small, the scaling of γ and η and ν changes from γ∝η1/3ν0 to γ∝η2/3ν-1/3 as the viscosity increases. Moreover, the nonlinear evolution of symmetrical DTM is investigated in this paper. The study shows that the symmetrical DTM transforms to unsymmetrical DTM in the final phase.

     

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