A phenomenological theory is presented to describe the isotropic micellar to lamellar (I-L D ) phase transition in lyotropic liquid crystals. The model free energy is written in terms of the coupled order parameters including the micellar concentration. The conditions for the I-L D phase transition and the stability conditions of the lamellar phase are calculated. On the basis of this model, it is argued that the I-L D phase transition is always first order. The theoretical predictions are found to be in good qualitative agreement with available experimental results.
II. Model
A. Order parameterWe start by describing the order parameters involved in the I-L D transition for LLC. The L D phase has the same symmetries