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Scattering intensity of bicontinuous microemulsions and sponge phases

机译:双连续微乳液和海绵相的散射强度

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摘要

Monte Carlo simulations of dynamically triangulated surfaces of variable topology are used to investigate the scattering intensities of bicontinuous microemulsions. The bulk scattering intensity is shown to follow the Teubner-Strey expression. The domain size and the correlation length are extracted from the scattering peaks as a function of the bending rigidity, saddle-splay modulus, and surfactant density. The results are compared to earlier theories based on Ginzburg-Landau and Gaussian random field models. The ratio of the two length scales is shown to be well described by a linear combination of logarithmically renormalized bending rigidity and saddle-splay modulus with universal prefactors. This is in contrast to earlier theoretical predictions in which the scattering intensity is independent of the saddle-splay modulus. The equation of state, and the asymptotics of the bulk and film scattering intensities for high and low wave vectors are determined from simulations and compared with theoretical results.
机译:可变拓扑结构的动态三角表面的蒙特卡洛模拟用于研究双连续微乳液的散射强度。体散射强度显示遵循Teubner-Strey表达式。从散射峰中提取出畴尺寸和相关长度,作为弯曲刚度,鞍形张量模量和表面活性剂密度的函数。将结果与基于Ginzburg-Landau和高斯随机场模型的早期理论进行了比较。通过对数重新归一化的弯曲刚度和鞍形展开模量与通用预因子的线性组合,可以很好地描述两个长度比例的比率。这与较早的理论预测相反,在较早的理论预测中,散射强度与鞍形张量模量无关。通过仿真确定了状态方程,以及高波和低波矢量的体积和薄膜散射强度的渐近性,并将其与理论结果进行了比较。

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