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Model of lateral diffusion in ultrathin layered films


  • Postnikov, Eugene B.
  • Sokolov, Igor M.


We consider the diffusion of markers in a layered medium, with the lateral diffusion coefficient being the function of hight. We show that the probability density of the lateral displacements follows a one-dimensional Batchelor’s equation with time-dependent diffusion coefficient governed by the particles’ redistribution in height. For the film of a finite thickness the resulting mean squared displacement exhibits superdiffusion at short times and crosses over to normal diffusion at long times. The approach is used for a description of experimental results on inhomogeneous molecular diffusion in thin liquid films deposited on solid surfaces.

Suggested Citation

  • Postnikov, Eugene B. & Sokolov, Igor M., 2012. "Model of lateral diffusion in ultrathin layered films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5095-5101.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5095-5101
    DOI: 10.1016/j.physa.2012.06.002

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    Anomalous diffusion; Thin films; Layered medium;


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