RANDOM INTERFACES AND THE PHYSICS OF MICROEMULSIONS

The Gaussian model of random interfaces is related to the statistical mechanics of microemulsions by a variational approximation to the free energy. This allows the prediction of the structure factor as a funct ion of surfactant and water/oil concentrations and the bending modulus . Different scaling regimes for the behaviour of the structure factor (and the real-space structure) are identified and we predict how the s tructure changes from one with a well-defined length scale to one with no well-defined domain size as the surfactant concentration or the be nding energy are decreased. Upon a further decrease in these quantitie s, the correlation length of the exponential decay diverges, signifyin g an instability of this system.