中文摘要：

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∝η^3/5ν0的定标变化到 γ∝η^5/6ν^-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∝η^1/3ν0的定标逐渐变化到γ∝η^2/3ν^-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.

英文摘要：

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∝η^3/5ν0 to γ∝η^5/6ν^-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∝η^1/3ν0 to γ∝η^2/3ν^-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.