A new strategy for evaluating the self-diffusion coefficient in restricted diffusion: Case of polydisperse emulsions with small mean radii

In emulsion systems one of the key points is to directly obtain information on both mobility and polydispersity from the experimental data. Recently we proposed a polynomial method to obtain the dispersed phase self-diffusion coefficient from experimental data lying on the left of a limiting value of delta (the characteristic magnetic field gradient pulse time in a PGSE-NMR experiment). However, if the mean radius of the droplet is small, all of the experimental points are located on the right of this limiting value, and a new computational strategy is proposed to achieve the self-diffusion coefficient and the distribution function at the same time. PGSE-NMR results and optical microscopy literature data are compared to test the method.