Two-Dimensional Droplet Spreading over Random Topographical Substrates
Two-Dimensional Droplet Spreading over Random Topographical Substrates
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DOI：
10.1103/physrevlett.104.084501
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发表时间：
2010-02-26
影响因子：
8.6
通讯作者：
Pavliotis, Grigorios A.
中科院分区：
文献类型：
--
作者：
Savva, Nikos;Kalliadasis, Serafim;Pavliotis, Grigorios A.
我们通过统计方法，通过将基质族表示为固定随机函数，从理论上研究了随机地形基质对二维液滴运动的影响。推导了早期和长期极限时的液滴位移方差，并且发现液滴足迹始终是正态随机变量。结果表明，基材粗糙度会抑制润湿，这也说明了当接近平衡时，液滴有滑动而不扩散的趋势。我们的理论预测通过数值实验得到验证。
We examine theoretically the effects of random topographical substrates on the motion of two-dimensional droplets via statistical approaches, by representing substrate families as stationary random functions. The droplet shift variance at both early times and in the long-time limit is deduced and the droplet footprint is found to be a normal random variable at all times. It is shown that substrate roughness inhibits wetting, illustrating also the tendency of the droplet to slide without spreading as equilibrium is approached. Our theoretical predictions are verified by numerical experiments.