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arXiv 2402.19192cond-mat.softcond-mat.stat-mech
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二维手性活性晶体中的长程平移序与超均匀性

Long-range translational order and hyperuniformity in two-dimensional chiral active crystal

Yuta Kuroda, Takeshi Kawasaki, Kunimasa Miyazaki

AI总结:

本文数值研究了高密度二维无热手性活性粒子系统,发现粒子以频率$Ω$做圆周运动时,系统因超均匀性抑制位移涨落而在二维下实现真正的长程平移序结晶,且可用活性弹性理论定量解释;但在$Ω=0$且维度不高于四时晶体熔化,机制类似淬火随机系统。

摘要:

我们数值研究了高密度下的二维无热手性活性粒子。该系统中的粒子以频率$Ω$做圆周运动。我们表明,系统在高密度下会发生结晶,即使在二维中也伴随着真正的长程平移序。这是由于与超均匀性相关的位移涨落受到了反常抑制。这些发现可以通过活性弹性理论进行定量解释。令人惊讶的是,在空间维度为四或更低的$Ω=0$极限下,晶体变得不稳定并熔化。这一结果可以通过类似于淬火随机系统的机制来解释,其下临界维度为四。

英文摘要:

We numerically study two-dimensional athermal chiral active particles at high densities. The particles in this system perform the circular motion with frequency $Ω$. We show that the system crystallizes at high densities even in two dimensions, accompanied by the true long-range translational order. This is due to the anomalous suppression of displacement fluctuations associated with hyperuniformity. These findings can be explained using an active elastic theory quantitatively. Surprisingly, the crystals become unstable and melt in the limit of $Ω=0$, for the spatial dimension of four or less. This result can be explained by a mechanism akin to quenched random systems for which the lower critical dimension is four.

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