Normal and Anomalous Transport across an Interface: Monte Carlo and Analytical Approach

Abstract

In this paper we investigate the behavior of particles crossing a neat interface between two media. A Monte Carlo and analytical model, based on fractional derivatives, are presented and discussed in detail, together with a comparison. Anomalous and normal diffusion are consdered.

19 pages, 6 figures

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• Inhomogeneous parametric scaling and variable-order fractional diffusion equations
• Pre-asymptotic corrections to fractional diffusion equations
• Multiphase Partitions of Lattice Random Walks