Bulk mediated surface diffusion: finite bulk case

J. Revelli, C. Budde, D. Prato and H. Wio ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 37, issue 2, 205-212

Abstract: Within the framework of a Master Equation scheme, we address the dynamics of adsorbed molecules (a fundamental issue in surface physics) and study the diffusion of particles in a finite cubic lattice whose boundaries are at the z=1 and the z=L planes where L=2; 3; 4; ..., while the x and y directions are unbounded. As we are interested in the effective diffusion process at the interface z=1, we calculate analytically the conditional probability for finding the particle on the z=1 plane as well as the surface dispersion as a function of time and compare these results with Monte Carlo simulations finding an excellent agreement. These results show that: there exists an optimal number of layers that maximizes 〈r 2 (t)〉 on the interface; for a small number the layers the long-time effective diffusivity on the interface is normal, crossing over abruptly towards a subdiffusive behavior as the number of layers increases. Copyright EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2004

Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2004-00048-6 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:37:y:2004:i:2:p:205-212:10.1140/epjb/e2004-00048-6

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2004-00048-6

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().