KINETICS OF RANDOM SEQUENTIAL ADSORPTION OF MIXTURES

A random sequential adsorption model of arbitrary mixtures of line segments of two different lengths is solved on the one-dimensional lattice in order to study the coverage as a function of the segments lengths and probabilities. The rate of late stage deposition is found to be given, independently of the lengths, by the probability associated with the smallest segment of the mixture. This behaviour, and some convexity properties that we find for the jamming limit as a function of the segment lengths, are probably independent of the lattice dimensionality, as suggested by a comparison of our results with the observations done in a recent Monte Carlo deposition of mixtures on the square lattice.