AI 中文总结
该研究针对圆形域内相反弗兰克角的一对楔形位错，识别出两种动力学机制并表征驻点稳定性，推导特征演化时间估计，发现偶极子运动规律经时间重标度后与刃型位错一致。
AI 中文摘要
在径向对称运动假设下，研究了局限于圆形域内、具有相反弗兰克角的一对楔形位错的耗散动力学。识别出两种不同的动力学机制：发散位错机制和偶极子湮灭机制。确定了与这两种机制相关的驻点，并根据其稳定性进行了完整表征，推导了其附近特征演化时间的定量估计。在偶极子湮灭机制中，表明经过适当的时间重新标度后，偶极子的运动规律与刃型位错的运动规律一致。
英文摘要
The dissipative dynamics of a pair of wedge disclinations with opposite Frank angles confined to a circular domain is investigated under the assumption of radially symmetric motion. Two distinct dynamical regimes are identified: a diverging-disclination regime and an annihilating-dipole regime. The stationary points associated with both regimes are determined and fully characterized in terms of their stability, and quantitative estimates for the characteristic evolution times in their vicinity are derived. In the annihilating-dipole regime, it is shown that, after a suitable time rescaling, the resulting law of motion for the dipole coincides with that of an edge dislocation.
