Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite   First Moment
  Here we address a fundamental issue in surface physics: the dynamics of adsorbed molecules. We study this problem when the particle's desorption is characterized by a non Markovian process, while the particle's adsorption and its motion in the bulk are governed by a Markovian dynamics. We study the diffusion of particles in a semi-infinite cubic lattice, and focus on the effective diffusion process at the interface $z = 1$. We calculate analytically the conditional probability to find the particle on the $z=1$ plane as well as the surface dispersion as functions of time. The comparison of these results with Monte Carlo simulations show an excellent agreement. 
Jorge A. Revelli, Carlos. E. Budde, Domingo Prato (FAMAF), and Horacio   S. Wio (IFCA-CAB/IB)