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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Bulk-mediated surface diffusion: non-Markovian desorption dynamics

Focus on Brownian Motion and Diffusion in the 21st Century

Jorge A Revelli1, Carlos E Budde1, Domingo Prato1 and Horacio S Wio2,3

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Part of Focus on Brownian Motion and Diffusion in the 21st Century

Here we analyse the dynamics of adsorbed molecules within the bulk-mediated surface diffusion framework, when the particle's desorption mechanism is characterized by a non-Markovian process, while the particle's adsorption as well as its motion in the bulk is governed by Markovian dynamics. We study the diffusion of particles in both semi-infinite and finite cubic lattices, analysing the conditional probability to find the system on the reference absorptive plane as well as the surface dispersion as functions of time. The results are compared with known Markovian cases showing the differences that can be exploited to distinguish between Markovian and non-Markovian desorption mechanisms in experimental situations.


PACS

68.43.Mn Adsorption kinetics

68.35.Fx Diffusion; interface formation

Subjects

Surfaces, interfaces and thin films

Dates

Issue 1 (January 2005)

Received 25 August 2004

Published 31 January 2005



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