We study the correlation and structural functions of symmetric amphiphilic systems. The systems are modelled by a double Kac potential and their structure is analyzed analytically in the random phase approximation (RPA) of the liquid state theory combined with the hard-sphere (HS) reference system. The microscopic approximation applied to the model yields a theory consistent with the phenomenological Landau-Ginzburg theory of microemulsions. When the amount of surfactant in the microemulsion is increasing, the behaviour of the total correlation function changes from an exponential decreasing to a damped oscillatory decaying, and the peak emerging in the structure factor of amphiphilic systems grows up in agreement with the small-angle neutron scattering experiments. The Lifshitz line – at which the peak in the structure factor is no longer at the zero wave vector – could be reached with specific values for the parameters characterizing the structure of the model.

我们研究对称两亲系统的相关性和结构功能。用双Kac势对系统进行建模，并在液态理论的随机相位近似（RPA）和硬球（HS）参考系统相结合的情况下对它们的结构进行分析。应用于模型的微观近似产生了与现象学上的Landau-Ginzburg微乳液理论相一致的理论。当微乳液中表面活性剂的量增加时，总相关函数的行为从指数递减变化到阻尼振荡衰减，两亲体系结构因子中出现的峰与小角中子一致增长散射实验。