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受限活性粒子的聚集与分离

Aggregation and segregation of confined active particles.

作者信息

Yang Xingbo, Manning M Lisa, Marchetti M Cristina

机构信息

Physics Department, Syracuse University, Syracuse, NY 13244, USA.

出版信息

Soft Matter. 2014 Sep 14;10(34):6477-84. doi: 10.1039/c4sm00927d.

Abstract

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction forces between particles are strongly inhomogeneous, and a simple model predicts how these inhomogeneities alter the equation of state. At higher densities, collective effects become important. We observe signatures of a jamming transition at a packing fraction ϕ ∼ 0.88, which is also the jamming point for non-active athermal monodisperse disks. At this ϕ, the system develops a critical finite active speed necessary for wall aggregation. At packing fractions above ϕ ∼ 0.6, the pressure decreases with increasing density, suggesting that strong interactions between particles are affecting the equation of state well below the jamming transition. A mixture of bidisperse disks segregates in the absence of any adhesion, identifying a new mechanism that could contribute to cell sorting in embryonic development.

摘要

我们模拟了二维空间中具有软排斥相互作用的自驱动圆盘模型,这些圆盘被限制在一个盒子里。对于较小的旋转扩散率,单分散圆盘会自发地聚集在壁上。在低密度时,粒子间的相互作用力极不均匀,一个简单模型预测了这些不均匀性如何改变状态方程。在较高密度时,集体效应变得重要起来。我们在堆积分数ϕ ∼ 0.88处观察到堵塞转变的迹象,这也是非活性无热单分散圆盘的堵塞点。在这个ϕ值下,系统会产生壁聚集所需的临界有限活性速度。在堆积分数高于ϕ ∼ 0.6时,压力随着密度增加而降低,这表明粒子间的强相互作用在远低于堵塞转变时就影响着状态方程。双分散圆盘的混合物在没有任何粘附力的情况下会发生分离,这确定了一种可能有助于胚胎发育中细胞分选的新机制。

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