Exact solutions for stochastic adsorption-desorption models and catalytic surface processes

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Abstract
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 nonsteady 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.