The void ellipticity distribution today can be well explained by the tidal field. Going a step further from the overall distribution, we investigate individuality on the tidal response of void shape in non-linear dynamical evolution. We perform an N-body simulation and trace individual voids using particle ID. The voids are defined based on Voronoi tessellation and watershed algorithm, using public code vide. A positive correlation is found between the time variation of void ellipticity and tidal field around a void if the void maintains its constituent particles. Such voids tend to have smaller mass densities. Conversely, not a few voids significantly deform by particle exchange, rather than the tidal field. Those voids may prevent us from correctly probing a quadrupole field of gravity out of a void shape.

中文翻译：

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空隙与周围引力潮汐场的动态演化

今天的空隙椭圆率分布可以用潮汐场很好地解释。从整体分布更进一步，我们研究了非线性动力学演化中空隙形状潮汐响应的个体性。我们执行 N 体模拟并使用粒子 ID 跟踪单个空隙。空隙是基于 Voronoi 镶嵌和分水岭算法，使用公共代码视频定义的。如果空隙保持其组成粒子，则发现空隙椭圆率的时间变化与空隙周围的潮汐场之间存在正相关关系。这种空隙往往具有较小的质量密度。相反，不少空隙因粒子交换而不是潮汐场而显着变形。这些空隙可能会阻止我们正确探测空隙形状中的四极重力场。