Equilibrium Properties of A Monomer-Monomer Catalytic Reaction on A One-Dimensional Chain

Abstract

We study the equilibrium properties of a lattice-gas model of an $A+B\to 0$ catalytic reaction on a one-dimensional chain in contact with a reservoir for the particles. The particles of species $A$ and $B$ are in thermal contact with their vapor phases acting as reservoirs, i.e., they may adsorb onto empty lattice sites and may desorb from the lattice. If adsorbed $A$ and $B$ particles appear at neighboring lattice sites they instantaneously react and both desorb. For this model of a catalytic reaction in the adsorption-controlled limit, we derive analytically the expression of the pressure and present exact results for the mean densities of particles and for the compressibilities of the adsorbate as function of the chemical potentials of the two species.

19 pages, 5 figures, submitted to Phys. Rev. E

References in corpus (2)

• Adsorption of Reactive Particles on a Random Catalytic Chain: An Exact Solution
• Single-Species Reactions on a Random Catalytic Chain

Cited by in corpus (3)

• Exactly Solvable Model of Monomer-Monomer Reactions on a Two-Dimensional Random Catalytic Substrate
• Catalytic reactions with bulk-mediated excursions: Mixing fails to restore chemical equilibrium
• Equilibrium properties of two-species reactive lattice gases on random catalytic chains