Adsorption and desorption in confined geometries: a discrete hopping   model
  We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lattice site. Adsorption and desorption are found to proceed at different rates, and are strongly influenced by the concentration-dependent transport diffusion. Analytical solutions for the transport and self-diffusion are given for systems of length 1 and 2 and for a zero-range process. In the last situation the self- and transport diffusion can be calculated analytically for any length. 
T. Becker, K. Nelissen, B. Cleuren, B. Partoens, C. Van den Broeck
cond-mat.stat-mech