  We study the adsorption-desorption of fluid molecules on a solid substrate by
introducing a schematic model in which the adsorption/desorption transition
probabilities are given by irreversible kinetic constraints with a tunable
violation of local detailed balance condition. Numerical simulations show that
in one spatial dimension the model undergoes a continuous nonequilibrium phase
transition whose location depends on the irreversibility strength. We show that
the hierarchy of equations obeyed by multi-point correlation functions can be
closed to the second order by means of a simple decoupling approximation, and
that the approximated solution for the steady state yields a very good
description of the overall phase diagram.
