  We study dynamics of a probe particle, which performs biased diffusive motion
in a one-dimensional adsorbed monolayer of mobile hard-core particles
undergoing continuous exchanges with a vapor phase. In terms of a
mean-field-type approach, based on the decoupling of the third-order
correlation functions into a product of the pairwise correlations, we determine
analytically the density profiles of the monolayer particles, as seen from the
stationary moving probe, and calculate the terminal velocity, mobility and the
self-diffusion coefficient of the probe. Our analytical results are confirmed
by Monte Carlo simulations.
