梯形基底上纳米液滴固着吉布斯判据的介观分析
Mesoscopic analysis of Gibbs' criterion for sessile nanodroplets on trapezoidal substrates
摘要：
考虑到前体膜伴随纳米液滴在梯形基板上，我们表明，在介观水平的描述，一个没有观察到的现象，液体-气体-基板接触线钉扎在基板边缘。这种现象存在于宏观描述中，并导致非唯一的接触角，其可以在由所谓的吉布斯准则确定的范围内取值。在增加纳米液滴的体积时，在介观方法内评估的表观接触角在满足Gibbs准则的两个极限值之间连续变化，同时接触线平滑地移动穿过梯形基底的边缘。接触线的位置范围的空间范围对应于接触角在吉布斯准则给出的值之间的变化，是十个流体颗粒直径的数量级。
英文摘要：
By taking into account precursor films accompanying nanodroplets on trapezoidal substrates we show that on a mesoscopic level of description one does not observe the phenomenon of liquid-gas-substrate contact line pinning at substrate edges. This phenomenon is present in a macroscopic description and leads to non-unique contact angles which can take values within a range determined by the so-called Gibbs' criterion. Upon increasing the volume of the nanodroplet the apparent contact angle evaluated within the mesoscopic approach changes continuously between two limiting values fulfilling Gibbs' criterion while the contact line moves smoothly across the edge of the trapezoidal substrate. The spatial extent of the range of positions of the contact line, corresponding to the variations of the contact angle between the values given by Gibbs' criterion, is of the order of ten fluid particle diameters.
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