Model of lateral diffusion in ultrathin layered films

Eugene B. Postnikov and Igor M. Sokolov

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 21, 5095-5101

Abstract: 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.

Keywords: Anomalous diffusion; Thin films; Layered medium (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:21:p:5095-5101

DOI: 10.1016/j.physa.2012.06.002

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