Anomalous diffusion mediated by atom deposition into a porous substrate

Abstract

Constant flux atom deposition into a porous medium is shown to generate a dense overlayer and a diffusion profile. Scaling analysis shows that the overlayer acts as a dynamic control for atomic diffusion in the porous substrate. This is modeled by generalizing the porous diffusion equation with a time-dependent diffusion coefficient equivalent to a nonlinear rescaling of time

4 pages

References in corpus (2)

• Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution
• Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized gaussian solution

Cited by in corpus (6)

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• Anomalous diffusion in a symbolic model