ar X iv : c on d - m at / 9 31 00 65 v 1 2 7 O ct 1 99 3 Collective Properties of Adsorption - Desorption Processes

نویسندگان

  • P. L. Krapivsky
  • E. Ben - Naim
چکیده

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 − , ρ eq ∼ = 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).

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تاریخ انتشار 1993