Europhys. Lett., 62 (1) , pp. 69-75 (2003)
Exactly solvable model of reactions on a heterogeneous catalytic chainG. Oshanin1, O. Bénichou2 and A. Blumen3
1 Laboratoire de 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
(Received 4 November 2002; accepted in final form 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.
68.43.De - Statistical mechanics of adsorbates.
82.65.+r - Surface and interface chemistry; heterogeneous catalysis at surfaces.
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