https://doi.org/10.1140/epjb/e2005-00028-4
Bulk mediated surface diffusion: non Markovian desorption with finite first moment
1
Facultad de Matemáticas, Astronomía y
Física, Universidad Nacional de Córdoba
5000 Córdoba, Argentina
2
Instituto de Física
de Cantabria, 39005 Santander, Spain and
Grupo de
Física Estadística, Centro Atómico Bariloche and
Instituto Balseiro, 8400 San Carlos de Bariloche, Argentina
Corresponding author: a wio@ifca.unican.es
Received:
25
June
2004
Revised:
4
October
2004
Published online:
11
February
2005
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.
PACS: 46.65.+g – Random phenomena and media / 05.40.Fb – Random walks and Levy flights / 05.10.Ln – Monte Carlo methods / 02.50.Ey – Stochastic processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005