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Dynamics and spatial correlation of voids in dense two dimensional colloids

机译:稠密二维胶体中空隙的动力学和空间相关性

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Two dimensional (2D) colloids show interesting phase and dynamic behaviors. In 2D, there is another intermediate phase, called hexatic, between isotropic liquid and solid phases. 2D colloids also show strongly correlated dynamic behaviors in hexatic and solid phases. We perform molecular dynamics simulations for 2D colloids and illustrate how the local structure and dynamics of colloids near phase transitions are reflected in the spatial correlations and dynamics of voids. Colloids are modeled as hard discs and a void is defined as a tangent circle (a pore) to three nearest hard discs. The variation in pore diameters represents the degree of disorder in voids and decreases sharply with the area fraction (φ) of colloids after a hexagonal structural motif of colloids becomes significant and the freezing transition begins at φ ≈ 0.7. The growth of ordered domains of colloids near the phase transition is captured in the spatial correlation functions of pores. We also investigate the topological hopping probability and the topological lifetime of colloids in different topological states, and find that the stability of different topological states should be related to the size variation of local pores: colloids in six-fold states are surrounded by the most ordered and smallest pores with the longest topological lifetime. The topological lifetime of six-fold states increases by about 50 times as φ increases from liquid to hexatic to solid phases. We also compare four characteristic times in order to understand the slow and unique dynamics of two dimensional colloids: a caging time (τ _c), a topological lifetime (τ _(top)), a pore lifetime (τ _p), and a translational relaxation time (τ _α).
机译:二维(2D)胶体表现出有趣的相态和动力学行为。在二维中,在各向同性液相和固相之间还有另一个中间相,称为己酸。二维胶体在六相和固相中也显示出高度相关的动力学行为。我们对2D胶体进行分子动力学模拟,并说明相变附近的胶体局部结构和动力学如何在空隙的空间相关性和动力学中反映出来。胶体被建模为硬盘,而空隙被定义为与三个最近的硬盘的切线圆(孔)。在胶体的六边形结构基序变得显着且冻结转变始于φ≈0.7之后,孔径的变化表示空隙的无序度,并且随着胶体的面积分数(φ)急剧减小。胶体在相变附近的有序域的生长被捕获在孔隙的空间相关函数中。我们还研究了不同拓扑状态下胶体的拓扑跳跃概率和拓扑寿命,并发现不同拓扑状态下的稳定性应与局部孔的大小变化有关:六倍态胶体被最有序的包围和最小的孔,具有最长的拓扑寿命。六态的拓扑寿命随着φ从液相到六方相到固相的增加而增加了约50倍。我们还比较了四个特征时间,以了解二维胶体的缓慢而独特的动力学:固位时间(τ_c),拓扑寿命(τ_(top)),孔寿命(τ_p)和平移弛豫时间(τ_α)。

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