Dynamics of adsorption-desorption processes as a soluble problem of many fermions.

Abstract

We study the nonequilibrium dynamics of one-dimensional adsorption-desorption processes with diffusional relaxation. According to the relative values of the transition probability rates, these systems can be mapped onto a soluble problem of many fermions. The time development of pair correlations, interparticle distribution functions, macroscopic density, structure factor, and density fluctuations is obtained by combining and comparing both exact results with Monte Carlo simulations. Depending on the spectrum gap of the evolution operator associated with the stochastic dynamics, these quantities display either exponential decay or power-law relaxation. For vanishing gaps, the pair correlations exhibit a faster decay as opposed to the standard diffusive relaxation of the macroscopic density. (c) 1995 The American Physical Society