论文标题
在定向有序的Janus颗粒和其他各向异性系统中渗透的普遍关键行为
Universal Critical Behavior of Percolation in Orientationally Ordered Janus Particles and Other Anisotropic Systems
论文作者
论文摘要
我们将渗滤理论和蒙特卡洛模拟结合在一起，在二维中研究了相互作用的janus磁盘平衡晶格模型的连通性，它们在低温下自组装成定向有序的条纹阶段。随着斑块尺寸的增加或降低温度，斑块连接的圆盘簇会增加，并且渗透簇在阈值下出现。在条纹阶段，临界簇在平行于条纹的方向上延伸的时间比垂直方向延伸更长，因此渗透是各向异性的。发现在进行适当的空间重新缩放时，Janus系统中渗透的临界行为与标准各向同性渗透的行为是一致的。重新制定程序可以应用于了解其他各向异性系统，例如对齐的刚性杆的渗透以及具有各向异性相互作用的$ q $ - 状态Potts模型。
We combine percolation theory and Monte Carlo simulation to study in two dimensions the connectivity of an equilibrium lattice model of interacting Janus disks which self-assemble into an orientationally ordered stripe phase at low temperature. As the patch size is increased or the temperature is lowered, clusters of patch-connected disks grow, and a percolating cluster emerges at a threshold. In the stripe phase, the critical clusters extend longer in the direction parallel to the stripes than in the perpendicular direction, and percolation is thus anisotropic. It is found that the critical behavior of percolation in the Janus system is consistent with that of standard isotropic percolation, when an appropriate spatial rescaling is made. The rescaling procedure can be applied to understand other anisotropic systems, such as the percolation of aligned rigid rods and of the $q$-state Potts model with anisotropic interactions.
