INHOMOGENEOUS RANDOM SEQUENTIAL ADSORPTION ON A LATTICE

We study idealized random sequential adsorption on a lattice, with ads orption probabilities inhomogeneous both in space and in time, and inc luding the possibility of cooperativity. Attention is directed to the mean occupancy of a given site as a function of time, which is represe nted by a weighted random walk on the lattice. In the special case of nearest neighbor exclusion, the walk is transformed to one in which on ly neighbors of occupied sites can be occupied, but with a renormalize d probability. Reduction theorems are presented, with which the genera l case of a tree lattice is completely solved in inverse form.