论文标题
带有可变软壳轮廓的二维硬核/软壳系统中的图案形成
Pattern formation in two-dimensional hard-core/soft-shell systems with variable soft shell profiles
论文作者
论文摘要
硬核/软壳(HCSS)颗粒已显示出由于硬核和软肩长度尺度在相互作用中的简单相互作用而在压缩下进行了非常丰富的各种结构。在该领域的大多数研究都将软壳相互作用模型为平方的肩势。尽管从理论的角度吸引人,但潜力在物理上是不现实的,因为与实验性HCSS系统不同,软壳制度中没有排斥力。为了使模型更现实,我们在这里考虑具有范围软壳电势轮廓以外的HCSS颗粒,超出了标准方形肩部形式,并使用最小能量计算和蒙特卡洛模拟研究了模型。我们发现,通过调整密度和软外壳曲线,薄外壳状态中的HCSS颗粒(即,壳与核心比率$ r_1/r_1/r_1/r_0 \ leq \ sqrt {3} $)可以形成大量的结构,包括六角形,链,链,链,强,rhomboids,rhomboids,rhomboids,rhomboids and rhomboids and tust dintlant zig-zag zag-zag zag zag结构。此外,通过调整密度和$ r_1/r_0 $,我们发现具有实验逼真的线性线性斜坡软肩排斥的HCSS颗粒可以形成蜂窝状和准晶体,并具有10倍和12倍对称性的型。因此,我们的研究表明,通过胶体自组装实验地制造这些异国2D结构的令人兴奋的可能性。
Hard-core/soft shell (HCSS) particles have been shown to self-assemble into a remarkably rich variety of structures under compression due to the simple interplay between the hard-core and soft-shoulder length scales in their interactions. Most studies in this area model the soft shell interaction as a square shoulder potential. Although appealing from a theoretical point of view, the potential is physically unrealistic because there is no repulsive force in the soft shell regime, unlike in experimental HCSS systems. To make the model more realistic, here we consider HCSS particles with a range soft shell potential profiles beyond the standard square shoulder form and study the model using both minimum energy calculations and Monte Carlo simulations. We find that by tuning density and the soft shell profile, HCSS particles in the thin shell regime (i.e., shell to core ratio $r_1/r_0 \leq \sqrt{3}$) can form a large range of structures, including hexagons, chains, squares, rhomboids and two distinct zig-zag structures. Furthermore, by tuning the density and $r_1/r_0$, we find that HCSS particles with experimentally realistic linear ramp soft shoulder repulsions can form honeycombs and quasicrystals with 10-fold and 12-fold symmetry. Our study therefore suggests the exciting possibility of fabricating these exotic 2D structures experimentally through colloidal self-assembly.