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arXiv 0810.5229cond-mat.soft
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二元点Yukawa流体的界面和润湿性质

Interfacial and wetting properties of a binary point Yukawa fluid

Paul Hopkins, Andrew J. Archer, Robert Evans

摘要:

研究了由排斥点Yukawa粒子组成的二元流体混合物的界面相行为。利用Helmholtz自由能泛函的一个简单的近似,对直接关联函数采用无规相近似(RPA),计算了两种粒子吸附在平面壁面上的平衡流体密度分布.我们表明,对于一个特定的选择(排斥指数)的壁电位和流体对电位参数,Euler-Lagrange方程的平衡流体密度分布可以转化为一个单一的常微分方程和配置文件通过一个简单的求积。对于流体对势参数的某些其他选择,观察到主体流体的流体-流体相分离。我们发现,当这样的混合物暴露于一个平面的硬壁,流体表现出完全润湿的物种2贫侧的双结点,即我们观察到一个厚膜的流体丰富的物种2吸附在硬壁。润湿膜的厚度与流体状态点和双结点之间的浓度差成比例地增长,并且与侵入(润湿)流体相的体积相关长度成比例。然而,对于远离临界点的双结点状态点,我们发现没有厚的润湿膜。我们确定的陪同线的一阶(预润湿)表面相变分离的薄和厚的吸附膜。我们发现,对于其他一些选择的排斥壁电位的预润湿线仍然存在,但其位置和程度在相图中是强烈依赖于壁-流体相互作用参数。

英文摘要:

We investigate the interfacial phase behavior of a binary fluid mixture composed of repulsive point Yukawa particles. Using a simple approximation for the Helmholtz free energy functional, which yields the random phase approximation (RPA) for the pair direct correlation functions, we calculate the equilibrium fluid density profiles of the two species of particles adsorbed at a planar wall. We show that for a particular choice (repulsive exponential) of the wall potentials and the fluid pair-potential parameters, the Euler-Lagrange equations for the equilibrium fluid density profiles may be transformed into a single ordinary differential equation and the profiles obtained by a simple quadrature. For certain other choices of the fluid pair-potential parameters fluid-fluid phase separation of the bulk fluid is observed. We find that when such a mixture is exposed to a planar hard-wall, the fluid exhibits complete wetting on the species 2 poor side of the binodal, i.e. we observe a thick film of fluid rich in species 2 adsorbed at the hard-wall. The thickness of the wetting film grows logarithmically with the concentration difference between the fluid state-point and the binodal and is proportional to the bulk correlation length of the intruding (wetting) fluid phase. However, for state points on the binodal that are further from the critical point, we find there is no thick wetting film. We determine the accompanying line of first-order (pre-wetting) surface phase transitions which separate a thin and thick adsorbed film. We show that for some other choices of repulsive wall potentials the pre-wetting line is still present, but its location and extent in the phase diagram is strongly dependent on the wall-fluid interaction parameters.

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