%0 Journal Article
%T Collectiive Properties of Adsorption-Desorption Processes
%A P. L. Krapivsky
%A E. Ben-Naim
%J Physics
%D 1993
%I arXiv
%R 10.1063/1.467037
%X A reversible adsorption-desorption parking process in one dimension is studied. An exact solution for the equilibrium properties is obtained. The coverage near saturation depends logarithmically on the ratio between the adsorption rate, $\k_+$, and the desorption rate, $\k_-$, \hbox{$\req\cong 1-1/\log(k_+/k_-)$}, when $\k_+\gg\k_-$. A time dependent version of the reversible problem with immediate adsorption ($k_+=\infty$) is also considered. Both heuristic arguments and numerical simulations reveal a logarithmically slow approach to the completely covered state, \hbox{$1-\rho(t)\sim 1/\log(t)$}.
%U http://arxiv.org/abs/cond-mat/9310065v1