Mathematical Simulation of Polymer Adsorption Kinetics on Dispersion Particles

Abstract A mathematical model describing the adsorption kinetics of monodisperse polymer on dispersion particles and the dynamics of particle number change with adsorbed polymer for low particle surface coverage has been suggested. It has been shown that the distribution of probabilities of the number of macromolecules adsorbed on the particle follows the Poisson distribution. A kinetic model of polydisperse polymer adsorption for sufficiently high particle surface coverage has also been suggested. It allows determination of the adsorption rate constants and of the maximum mass of poly(vinyl alcohol) that can be adsorbed per unit area of silver iodide surface. Kinetic curve calculated by means of the suggested mathematical model agrees with experimental data.