Bulk mediated surface diffusion: the infinite system case

  • J. A. Revelli
  • C. E. Budde
  • D. Prato
  • H. S. Wio


An analytical soluble model based on a Continuous Time Random Walk (CTRW) scheme for the adsorption-desorption processes at interfaces, called bulk-mediated surface diffusion, is presented. The time evolution of the effective probability distribution width on the surface is calculated and analyzed within an anomalous diffusion framework. The asymptotic behavior for large times shows a sub-diffusive regime for the effective surface diffusion but, depending on the observed range of time, other regimes may be obtained. Monte Carlo simulations show excellent agreement with analytical results. As an important byproduct of the indicated approach, we present the evaluation of the time for the first visit to the surface.


Monte Carlo Simulation Asymptotic Behavior Excellent Agreement Large Time Distribution Width 
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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • J. A. Revelli
    • 1
  • C. E. Budde
    • 2
  • D. Prato
    • 2
  • H. S. Wio
    • 1
    • 3
  1. 1.Grupo de Física EstadísticaCentro Atómico Bariloche and Instituto BalseiroSan Carlos de BarilocheArgentina
  2. 2.Facultad de Matemáticas, Astronomía y FísicaUniversidad Nacional de CórdobaCórdobaArgentina
  3. 3.Departament de FísicaUniversitat de les Illes Balears and IMEDEAPalma de MallorcaSpain

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