Collectiive Properties of Adsorption-Desorption Processes

Details Collectiive Properties of Adsorption-Desorption Processes Collectiive Properties of Adsorption-Desorption Processes

1993-10-27

arxiv.org/abs/cond-mat/9310065v1

J. Chem. Phys. 100, 6778 (1994)

Physics

Condensed Matter

13 pages, 2 figures, TeX

Scientific paper

10.1063/1.467037

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{$1-\rho(t)\sim 1/\log(t)$}.

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