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

Jorge A. Revelli·Carlos. E. Budde·Domingo Prato·Horacio S. Wio
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Abstract

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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Jorge A. Revelli, Carlos. E. Budde, Domingo Prato, Horacio S. Wio. 2004-10-22. Bulk Mediated Surface Diffusion: Non Markovian Desorption with Finite First Moment. https://doi.org/10.1140/epjb%2Fe2005-00028-4

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