The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants

2006/01/07 by M. Marseguerra, Andrea Zoia, A. Zoia · 3 citations
Decision Sciences · Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Numerical methods in inverse problems #Probabilistic and Robust Engineering Design #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.anucene.2005.11.004

published as Annals of Nuclear Energy 33, 223-235 (2006) · 17 pages, 18 figures

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

Abstract

This paper deals with a comparison of Fractional Derivative and Monte carlo approaches to the modelling of anomalous diffusion in the field of particle transport. The goal of this research is to provide a better insight on the behavior of (radioactive) contaminant tracers when flowing through heterogeneous media.

Citations

• Diffusion in correlated random potentials, with applications to DNA
• Anomalous transit-time dispersion in amorphous solids
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Ueber Diffusion

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