Two models of bimolecular surface reactions
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occurring on irregular substrates (probabilistic supports and Sierpinski ca
rpets) are investigated by means of Monte Carlo Simulations. Steady-state r
egimes controlled by the reaction exhibit fractal kinetics features which a
re compared to those observed when these reactions are simulated on a regul
ar lattice. Noninteger rate orders and modifications of the phase diagram (
case n=2) are presented as a function of the concentration of the inactive
sites of the surface. These fractal kinetics properties are tentatively int
erpreted in terms of structural specifics that characterize the ramificatio
n of both the substrate and the reactive adsorbate. (C) 1999 American Insti
tute of Physics. [S0021-9606(99)70233-3].