%0 Journal Article
%T Adsorption and desorption in confined geometries: a discrete hopping model
%A T. Becker
%A K. Nelissen
%A B. Cleuren
%A B. Partoens
%A C. Van den Broeck
%J Physics
%D 2014
%I arXiv
%R 10.1140/epjst/e2014-02330-8
%X 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.
%U http://arxiv.org/abs/1406.7164v2