Bulk mediated surface diffusion: non Markovian desorption with finite first moment

J.A. REVELLI, C.E. BUDDE, D. PRATO AND H.S WIO

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

EDP Sciences, Societá Italiana di Fisica, Springer-Verlag

Año: 2005 vol. 43 p. 65 - 71

1434-6028

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 the 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.