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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >STRUCTURE AND TENSION OF THE BOUNDARY LINE BETWEEN AMPHIPHILIC LAYERS
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STRUCTURE AND TENSION OF THE BOUNDARY LINE BETWEEN AMPHIPHILIC LAYERS

机译：两性层之间边界线的结构和张力

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摘要

The structure and tension of the region of contact where an oil phase, a water phase and a microemulsion phase meet, is theoretically investigated. The analysis has as a starting point a Landau-theory-like expression for the free energy in which, besides the usual gradient of the density squared term, a term proportional to the second derivative of the density squared is present. The coefficient of the squared gradient term is taken to be negative in the microemulsion phase (cf. G. Gompper and M. Schick, Phys, Rev. Lett. 65 (1990) 1116). In a closely related model, we show that a first order wetting transition exists at which point infinitely many (n = 0,1,2,...) surface phases can coexist, each described by the presence of a different thickness (l(n) = (2n + 1)l(0)) of the microemulsion phase between the oil and water phase. This situation physically describes the coexistence of layers of amphiphilic molecules with different thicknesses between a water and an oil bulk phase, the thickness of one amphiphilic layer being equal to l(0). We present the calculation of the density profile and the boundary tension of the contact region of a coexisting n = 0 and n = 1 surface phase, e.g. between the oil-water interface with a single amphiphilic layer present and the oil-water interface where three amphiphilic layers are present. Also, an approximate analysis is made for the calculation of the boundary tension between surface phases consisting of three or more amphiphilic layers. [References: 20]
机译：理论上研究了油相，水相和微乳液相相遇的接触区域的结构和张力。该分析以类似于兰道理论的自由能为起点，其中除了密度平方项的通常梯度之外，还存在与密度平方的二阶导数成比例的项。在微乳液相中，将平方梯度项的系数取为负值（参见G. Gompper和M. Schick，Phys，Rev.Lett.65（1990）1116）。在一个密切相关的模型中，我们表明存在一阶润湿转变，在该点上可以无限地存在许多（n = 0,1,2，...）个表面相，每个相都以不同厚度（l（ n）=（2n +1）l（0））油相和水相之间的微乳液相。这种情况从物理上描述了在水相和油相之间具有不同厚度的两亲分子层的共存，一个两亲层的厚度等于l（0）。我们提出了密度分布和n = 0和n = 1表面相共存的接触区域的边界张力的计算，例如在具有单亲两性层的油水界面与存在三个两亲层的油水界面之间。同样，对由三个或更多两亲层组成的表面相之间的边界张力的计算进行了近似分析。 [参考：20]

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