Strong flares and coronal mass ejections (CMEs), launched from $\delta$-sunspots, are the most catastrophic energy-releasing events in the solar system. The formations of $\delta$-sunspots and relevant polarity inversion lines (PILs) are crucial for the understanding of flare eruptions and CMEs. In this work, the kink-stable, spot-spot-type $\delta$-sunspots induced by flux emergence are simulated, under different subphotospheric initial conditions of magnetic field strength, radius, twist, and depth. The time evolution of various plasma variables of the $\delta$-sunspots are simulated and compared with the observation data, including magnetic bipolar structures, relevant PILs, and temperature. The simulation results show that magnetic polarities display switchbacks at a certain stage and then split into numerous fragments. The simulated fragmentation phenomenon in some $\delta$-sunspots may provide leads for future observations in the field.

中文翻译：

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磁通量出现期间δ-太阳黑子中之字形、碎裂和黑子对的模拟


强烈的耀斑和日冕物质抛射（CME），从-太阳黑子是太阳系中最具灾难性的能量释放事件。的阵型-太阳黑子和相关的极性反转线（PIL）对于理解耀斑爆发和日冕物质抛射至关重要。在这项工作中，扭结稳定的点点型-在不同的亚光球初始条件下的磁场强度、半径、扭曲和深度下模拟由通量出现引起的太阳黑子。各种等离子体变量的时间演化- 模拟太阳黑子并与观测数据进行比较，包括磁双极结构、相关 PIL 和温度。模拟结果表明，磁极性在某一阶段呈现之字形，然后分裂成无数碎片。模拟一些碎片现象-太阳黑子可能为未来的实地观测提供线索。