Nonequilibrium phase transition in constrained adsorption

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 multipoint 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.