Statistical mechanics of the triple contact line
Statistical mechanics of the triple contact line
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三重接触线的统计力学
DOI：
10.1103/physreve.95.032804
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发表时间：
2017
影响因子：
2.4
通讯作者：
Louge, Michel Y.
中科院分区：
文献类型：
--
作者：
Louge, Michel Y.
本文概述了粗糙平面上三重气-固-液接触线的统计力学。该分析将该线的邻域视为带有空腔的实心点。它采用了最简单的平均场统计力学，其中每个腔要么是满的，要么是空的，同时通过细颈与邻近的腔相连。该理论预测的平衡角度的进步和衰退的杨氏接触角和联合统计分布的两个可量化的几何参数，代表特定的颈部横截面和特定的空腔开口。它将接触角滞后归因于相邻腔体之间的一阶相变，因为它们共同吸收或排斥液体。它还计算了潜在的能量障碍，滞后竖立对克服接触线钉扎。通过确定相变是否能释放势能，该从头算分析区分了六个区域，包括两个亚稳衰退状态。我们比较预测与微观棒上的supercoidobia的数据;在“温泽尔状态”的滞后;和液体的表面能的前进接触角的变化。
We outline a statistical mechanics of the triple gas-solid-liquid contact line on a rough plane. The analysis regards the neighborhood of the line as a solid dotted with cavities. It adopts the simplest mean-field statistical mechanics, in which each cavity is either full or empty, while being connected to near neighbors by thin necks. The theory predicts equilibrium angles for advance and recession in terms of the Young contact angle and the joint statistical distribution of two quantifiable geometrical parameters representing specific neck cross-section and specific cavity opening. It attributes contact angle hysteresis to first-order phase transitions among adjacent cavities, as they collectively imbibe or reject liquid. It also calculates the potential energy barriers that hysteresis erects against overcoming contact line pinning. By determining whether the phase transitions can release latent energy, thisab initioanalysis distinguishes six regimes, including two metastable recession states. We compare predictions with data for superhydrophobia on microscopic rods; for hysteresis in the “Wenzel state”; and for variations of the advancing contact angle with surface energies of the liquid.