  In this paper we analyze the influence of transport mechanisms (diffusion and
sedimentation) on the structure of monolayers of particles irreversibly
adsorbed on a line. We focus our attention on the dependence of the radial
distribution function $g(r)$ and the saturation coverage $\theta_\infty$ on the
gravitational P\'eclet number $N_g$. First, we study the probability density of
adsorption onto an available interval using approximate solutions of the
transport equation and computer simulations. Combining our results with an
approximate general formalism, we can obtain values of $\theta_\infty$ and the
gap density, which agree with our simulations. We also show that, for large
gravity, the coverage $\theta_{\infty}$ approaches the ballistic limit
following a power law in $N_g$ that is independent of the number of dimensions,
as has been observed in simulations.
