Dimer kinetics in a one-dimensional lattice

The kinetics of dimer molecules in a one-dimensional lattice is formulated in the framework of the kinetic lattice gas model. Local evolution rules are used to obtain the hierarchy of equations of motion for correlation functions where processes like adsorption, desorption and surface diffusion are included. By use of mean-field (m,n) closures, that allow the truncation of the infinite set of coupled differential equations of motion, we obtain the equilibrium properties and the time evolution of the adsorbate as well as the desorption kinetics. The temperature-programmed desorption (TPD) spectra for mobile and immobile adsorbates are obtained as limiting cases. The effect of the diffusion on TPD is also analyzed.