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Bulk mediated surface diffusion: finite bulk case

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  • J. Revelli
  • C. Budde
  • D. Prato
  • H. Wio

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

Suggested Citation

  • J. Revelli & C. Budde & D. Prato & H. Wio, 2004. "Bulk mediated surface diffusion: finite bulk case," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 37(2), pages 205-212, January.
    • Handle: RePEc:spr:eurphb:v:37:y:2004:i:2:p:205-212:10.1140/epjb/e2004-00048-6
    DOI: 10.1140/epjb/e2004-00048-6
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