A Numerical Description of Fast Relaxation in Micellar Solutions on the Basis of the Spherocylinder Model

Abstract—A semianalytical method for calculating the time of fast relaxation in surfactant solutions with cylindrical micelles has recently been developed on the basis of the Becker−Döring kinetic equations. This method enables one to make the calculation procedure substantially shorter with no loss in the accuracy. A model micelle having the shape of a prolate ellipsoid was there used to determine the kinetic coefficients of monomer attachment to an aggregate because the problem of finding the diffusion flux of monomers to a micelle has an analytical solution for this model. In this work, the diffusion flux and fast relaxation time have been numerically calculated in terms of a more realistic model of a micelle having the shape of a spherocylinder. The results obtained have been compared with previously known ones.