Irreversible random sequential adsorption (RSA) on lattices, and conti
nuum ''car parking'' analogues, have long received attention as models
for reactions on polymer chains, chemisorption on single-crystal surf
aces, adsorption in colloidal systems, and solid state transformations
. Cooperative generalizations of these models (CSA) are sometimes more
appropriate, and can exhibit richer kinetics and spatial structure, e
.g., autocatalysis and clustering. The distribution of filled or trans
formed sites in RSA and CSA is not described by an equilibrium Gibbs m
easure. This is the case even for the saturation ''jammed'' state of m
odels where the lattice or space cannot fill completely. However exact
analysis is often possible in one dimension, and a variety of powerfu
l analytic methods have been developed for higher dimensional models.
Here we review the detailed understanding of asymptotic kinetics, spat
ial correlations, percolative structure, etc., which is emerging for t
hese far-from-equilibrium processes.