Branch counting probability approach to random sequential adsorption

In a previous Letter we derived analytic expressions to describe the adsorption kinetics of trimers on two-dimensional arrays. As a prerequisite to find the average saturation coverage at the jamming limit (〈θJL〉) we had to solve first the kinetic rate equation, which is a lengthy and troublesome task. This motivated us to derive a faster and easier procedure to determine 〈θJL〉. The method allows the exact determination of 〈θJL〉 when a small two-dimensional lattice is bombarded by objects that occupy β ⩾ 2 contiguous lattice sites, and is applied on a 3 × 5 lattice ceaselessly bombarded by linear trimers.