Abstract
We present an exact solution describing equilibrium properties of the catalytically activated A + A → 0 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.