Exactly solvable model of monomer-monomer reactions on a two-dimensional random catalytic substrate

• Published in: Physical review letters Vol. 93; no. 2; pp. 020602.1 - 020602.4
• Main Authors: OSHANIN, G, POPESCU, M. N, DIETRICH, S
• Format: Journal Article
• Language: English
• Published: Ridge, NY American Physical Society 09-07-2004
• Subjects: Carbon Monoxide; Catalysis; Catalytic Domain; Chemistry; Chemistry - methods; Exact sciences and technology; General and physical chemistry; Models, Chemical; Models, Statistical; Oxygen - chemistry; Substrate Specificity; Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry; Heterogeneous catalysis; Catalytic reaction; Surface reaction; Two dimensional structure; Models; Equilibrium condition; Monomer
• ISSN: 0031-9007; 1079-7114
• DOI: 10.1103/PhysRevLett.93.020602

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.