Collective Properties of Adsorption-Desorption Processes

for the equilibrium properties is obtained. The coverage near saturation depends logarithmically on the ratio between the adsorption rate, k+, and the desorption rate, k−, ρeq ∼= 1− 1/ log(k+/k−), when k+/k− 1. A time dependent version of the reversible problem with immediate adsorption (k+ = ∞) is also considered. Both heuristic arguments and numerical simulations reveal a logarithmically slow approach to the completely covered state, 1− ρ(t) ∼ 1/ log(t). PACS Numbers: 68.10.Jy, 02.50.+s, 82.65.-i