 Random sequential adsorption

In random sequential adsorption, objects are proposed at random positions and accepted only if they do not overlap previously accepted objects. Accepted objects remain fixed; rejected proposals change nothing. In one dimension, sequentially placing fixed-length intervals on a line models irreversible parking. A jammed configuration admits no further allowed placement but need not cover the entire line: leftover gaps can be too small to fit another interval. The acceptance rule creates dependence between locations, so the final configuration is not a collection of independent random placements. This provides a simple model for irreversible surface deposition.

Random Sequential Adsorption (RSA) is a theoretical model used to describe the process of particle deposition onto a surface. In this model, particles are randomly placed on a surface one at a time. Each particle is allowed to "adsorb" or stick to the surface only if it does not overlap with any already adsorbed particles. Once a particle is successfully adsorbed, it stays on the surface, and subsequent particles are added under the same condition of non-overlapping.