Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite First Moment

Details Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite First Moment Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite First Moment

2004-10-22

arxiv.org/abs/cond-mat/0410577v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 7 figs. European Physical Journal B (in press)

Scientific paper

10.1140/epjb/e2005-00028-4

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.

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