https://doi.org/10.1140/epjst/e2014-02330-8
Regular Article
Adsorption and desorption in confined geometries: A discrete hopping model
1 Hasselt University, 3590 Diepenbeek, Belgium
2 Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, 2020 Antwerpen, Belgium
a e-mail: thijsbecker@gmail.com
Received: 17 October 2014
Revised: 5 November 2014
Published online: 15 December 2014
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.
© EDP Sciences, Springer-Verlag, 2014
