Simulations of a monomer-dimer catalysis model on a Sierpinski gasket.

Abstract

We report results of numerical simulations for a generalized monomer-dimer catalysis model on a Sierpinski gasket. We indicate the existence of a steady-state region, which is much thinner than in the case of the two-dimensional square lattice, although the shape of the phase diagram is the same. In the adsorption-limited case the critical exponents are in good agreement with those obtained for two dimensions. The critical dimension for the monomer-dimer catalysis model is inferred to be 1.