Volume 62, Number 1, April 2003
|Page(s)||69 - 75|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 March 2003|
Exactly solvable model of reactions on a heterogeneous catalytic chain
Physique Théorique des Liquides, Université Paris VI 4
Place Jussieu, 75252 Paris Cedex 05, France
2 Laboratoire de Physique de la Matière Condensée, Collège de France 11 Place M. Berthelot, 75252 Paris Cedex 05, France
3 Theoretische Polymerphysik, Universität Freiburg Hermann-Herder-Str. 3, D-79104 Freiburg, Germany
Accepted: 21 January 2003
We present an exact solution describing equilibrium properties of the catalytically activated reaction taking place on a one-dimensional lattice, where some of the sites possess special “catalytic” properties. The A-particles undergo continuous exchanges with the vapor phase; two neighboring adsorbed A's react when at least one of them resides on a catalytic site (CS). We consider three situations for the CS distribution: regular, annealed random and quenched random. For all three CS distribution types, we derive exact results for the disorder-averaged pressure and present exact asymptotic expressions for the particles' mean density.
PACS: 68.43.De – Statistical mechanics of adsorbates / 82.65.+r – Surface and interface chemistry; heterogeneous catalysis at surfaces
© EDP Sciences, 2003
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