EXACT-SOLUTIONS FOR STOCHASTIC ADSORPTION-DESORPTION MODELS AND CATALYTIC SURFACE PROCESSES

We investigate the stochastic kinetics of adsorption-desorption cooperative processes with single particle biased diffusion. For certain choices of the transition probability rates a quantum spin analogy allows for an exact solution of dynamic correlation functions in the steady state. For nonequilibrium translationally invariant initial conditions, equal-time correlation functions and non-steady currents are calculated exactly, working from the master equation. Depending on the relative values of the transition rates, these quantities exhibit either power-law decay or exponential decay (with a variety of subdominant power-law prefactors). Our results are compared with Monte Carlo simulations.