Irreversible random sequential adsorption of mixtures

Abstract

The irreversible random sequential adsorption of binary mixtures of line segments on a square lattice was studied. Short and long linear segments were deposited with the deposition probabilities P and 1– P, respectively. The surface coverage as a function of time and the jamming limits for a conventional model and end-on model were calculated . The jamming limits of mixtures on lattice show the exponential behavior with time, similar to the deposition of constant-size line segments. For fixed length of each segment in the mixture the jamming limits decrease when P increases. The jamming limits of the mixture are larger than those of the pure short- or long-segment depositions. For the fixed value of P and fixed length of the long segments, the jamming limits decrease monotonically when the length of the short segments increases. For the fixed value of P and fixed length of the short segments, the jamming limits have a unique maximum when the length of the long segments increases. We observe that mixture deposition leads to more efficient jamming coverage than deposition of the constant-size line segments. From a non-linear least square fit of numerical data, a functional dependence of the surface coverage is proposed.