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arXiv 2105.14535cond-mat.softcond-mat.stat-mech
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主动系统中的取向使晶体有序失稳

Alignment Destabilizes Crystal Orders in Active Systems

Chen Huang, Leiming Chen, Xiangjun Xing

摘要:

我们结合数值和分析方法来研究两个永久连接的游泳者和两个不同的对齐相互作用形成的二维活性晶体。该系统允许一个准长程平移阶的静止相和一个准长程速度阶的运动相。运动相中的平移顺序受排列相互作用的影响很大。对于类Vicsek排列,平移顺序是短程的,而键取向顺序是准长程的,这意味着移动的六角相。对于基于弹性的排列,平移顺序是准长程平行于运动和短程在垂直方向,而键取向顺序是长程的。我们也将这些结果推广到更高的维度。

英文摘要:

We combine numerical and analytical methods to study two dimensional active crystals formed by permanently linked swimmers and with two distinct alignment interactions. The system admits a stationary phase with quasi long range translational order, as well as a moving phase with quasi-long range velocity order. The translational order in the moving phase is significantly influenced by alignment interaction. For Vicsek-like alignment, the translational order is short-ranged, whereas the bond-orientational order is quasi-long ranged, implying a moving hexatic phase. For elasticity-based alignment, the translational order is quasi-long ranged parallel to the motion and short-ranged in perpendicular direction, whereas the bond orientational order is long-ranged. We also generalize these results to higher dimensions.

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