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Structure of self-assembly amphiphilic systems: Relation between phenomenological parameters and microscopic potential parameters

J. Bretonnet,J. Bomont

Published 2020 in Chemical Physics

ABSTRACT

Abstract 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.

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