Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-01-19
Physics
Condensed Matter
Statistical Mechanics
19 pages, 5 figures, submitted to Phys. Rev. E
Scientific paper
10.1103/PhysRevE.68.016109
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.
Dietrich Sarah
Oshanin Gleb
Popescu M. N.
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