润湿
接触角
亚稳态
分形维数
润湿转变
等级制度
分形
曲面(拓扑)
统计物理学
材料科学
维数(图论)
机械
数学
物理
几何学
数学分析
复合材料
纯数学
量子力学
经济
市场经济
作者
Iara Patrícia da Silva Ramos,Cristina Gavazzoni,Davi Lazzari,Carolina Brito
摘要
The relation between wetting properties and geometric parameters of fractal surfaces are widely discussed on the literature and, however, there are still divergences on this topic. Here we propose a simple theoretical model to describe the wetting properties of a droplet of water placed on a hierarchical structured surface and test the predictions of the model and the dependence of the droplet wetting state on the initial conditions using simulation of the 3-spin Potts model. We show that increasing the auto-similarity level of the hierarchy -- called $n$ -- does not affect considerably the stable wetting state of the droplet but increases its contact angle. Simulations also explicit the existence of metastable states on this type of surfaces and shows that, when $n$ increases, the metastability becomes more pronounced. Finally we show that the fractal dimension of the surface is not a good predictor of the contact angle of the droplet.
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