Binary Reactive Adsorbate on a Random Catalytic Substrate


We study the equilibrium properties of a model for a binary mixture of catalytically-reactive monomers adsorbed on a two-dimensional substrate decorated by randomly placed catalytic bonds. The interacting AA and BB monomer species undergo continuous exchanges with particle reservoirs and react (A+Bβ†’βˆ…A + B \to \emptyset) as soon as a pair of unlike particles appears on sites connected by a catalytic bond. For the case of annealed disorder in the placement of the catalytic bonds this model can be mapped onto a classical spin model with spin values S=βˆ’1,0,+1S = -1,0,+1, with effective couplings dependent on the temperature and on the mean density qq of catalytic bonds. This allows us to exploit the mean-field theory developed for the latter to determine the phase diagram as a function of qq in the (symmetric) case in which the chemical potentials of the particle reservoirs, as well as the Aβˆ’AA-A and Bβˆ’BB-B interactions are equal.Comment: 12 pages, 4 figure

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