Exactly solvable model of monomer-monomer reactions on a two-dimensional random catalytic substrate.
We study the equilibrium properties of a monomer-monomer A+B--> reaction on a two-dimensional substrate containing randomly placed catalytic bonds. Interacting A and B species undergo continuous exchanges with particle reservoirs and react as soon as a pair of unlike particles appears on sites connected by a catalytic bond. For annealed disorder in the placement of catalytic bonds the model is mapped onto a general spin S=1 model and solved exactly for the pressure in a particular case. At equal activities of the two species a second order phase transition is revealed.
Laboratoire de Physique Théorique des Liquides, Université Paris 6, 4 Place Jussieu, 75252 Paris, France. oshanin@lptl.jussieu.fr
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Oshanin
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Popescu
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Dietrich
D002248:Carbon Monoxide; D002384:Catalysis; D020134:Catalytic Domain; D002621:Chemistry / Q000379:methods*; D008956:Models, Chemical; D015233:Models, Statistical; D010100:Oxygen / Q000737:chemistry; D013379:Substrate Specificity
D002248:Carbon Monoxide; D010100:Oxygen