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arXiv 1905.01552cond-mat.softcond-mat.stat-mech
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几何和化学的不均匀性可能导致在同一疏水表面上存在一种以上润湿状态的稳定性

Geometric and chemical non-uniformity may induce the stability of more than one wetting state in the same hydrophobic surface

Davi Lazzari, Carolina Brito

摘要:

它是建立粗糙度和化学起着至关重要的作用,在基板的润湿性能。然而,很少有研究系统地分析了织构分布的不均匀性和基材的表面张力对其润湿性能的影响。在这项工作中,我们研究这个问题的理论和数值。我们提出了一个连续的模型,该模型考虑到了在两种可能的润湿状态下创建液滴界面所需的总能量:Cassie-Baxter(CB)与液滴下方捕获的气穴;另一种特征在于表面的均匀润湿,Wenzel(W)状态。为了引入几何非规则性,我们假设柱高度和柱距离是高斯分布的,而不是具有恒定值。同样,我们假设表面上的杨氏角的非均匀分布,以考虑化学不均匀性。这允许通过改变分布的方差来改变无序的“量”。我们首先解决这个模型解析,然后我们也提出了一个数值版本,它可以应用于研究任何类型的混乱。在这两个版本中,我们采用相同的物理思想:这两种状态的能量被最小化,以预测对于给定的体积和表面纹理的液滴的热力学润湿状态。我们发现,无序的主要影响是诱导在同一基板上的两个润湿状态的稳定性。就无序对液滴接触角的影响而言,我们发现化学无序和柱距无序对液滴接触角的影响可以忽略不计。然而,在柱高度无序的情况下,观察到液滴的平均接触角随着无序量而增加。最后,我们调查如何区域的润湿状态的稳定性行为时,液滴体积的变化。

英文摘要:

It is established that roughness and chemistry play a crucial role in the wetting properties of a substrate. Yet, few studies have analyzed systematically the effect of the non-uniformity in the distribution of texture and surface tension of substrates on its wetting properties. In this work we investigate this issue theoretically and numerically. We propose a continuous model that takes into account the total energy required to create interfaces of a droplet in two possible wetting states: Cassie-Baxter(CB) with air pockets trapped underneath the droplet; and the other characterized by the homogeneous wetting of the surface, the Wenzel(W) state. To introduce geometrical non-regularity we suppose that pillar heights and pillar distances are Gaussian distributed instead of having a constant value. Similarly, we suppose a heterogeneous distribution of Young's angle on the surface to take into account the chemical non-uniformity. This allows to vary the "amount" of disorder by changing the variance of the distribution. We first solve this model analytically and then we also propose a numerical version of it, which can be applied to study any type of disorder. In both versions, we employ the same physical idea: the energies of both states are minimized to predict the thermodynamic wetting state of the droplet for a given volume and surface texture. We find that the main effect of disorder is to induce the stability of both wetting states on the same substrate. In terms of the influence of the disorder on the contact angle of the droplet, we find that it is negligible for the chemical disorder and for pillar-distance disorder. However, in the case of pillar-height disorder, it is observed that the average contact angle of the droplet increases with the amount of disorder. We end the paper investigating how the region of stability of both wetting states behaves when the droplet volume changes.

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