Normal and anomalous transport across an interface: Monte Carlo and analytical approach

2006/11/01 by M. Marseguerra, Andrea Zoia, A. Zoia · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.anucene.2006.09.012

published as Annals of Nuclear Energy 33, 1396-1407 (2006) · 19 pages, 6 figures

openalex publication_date 2006/11/01 · arxiv created 2007/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Anomalous transit-time dispersion in amorphous solids
• Monte Carlo investigation of anomalous transport in presence of a discontinuity and of an advection field
• Time-Scale Invariance in Transport and Relaxation
• The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants
• A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Fractional Differential Equations

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