84 citations · 874 across the 39 of their papers we have counts for
6 papers · 1 filter
Pre-asymptotic corrections to fractional diffusion equations
M. Marseguerra, A. Zoia
The motion of contaminant particles through complex environments such as fractured rocks or porous sediments is often characterized by anomalous diffusion: the spread of the transp…
Monte Carlo evaluation of FADE approach to anomalous kinetics
M. Marseguerra, A. Zoia
In this paper we propose a comparison between the CTRW (Monte Carlo) and Fractional Derivative approaches to the modelling of anomalous diffusion phenomena in the presence of an ad…
Normal and Anomalous Transport across an Interface: Monte Carlo and Analytical Approach
M. Marseguerra, A. Zoia
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 present…
Some Insights in Superdiffusive Transport
M. Marseguerra, A. Zoia
In this paper we deal with high-order corrections for the Fractional Derivative approach to anomalous diffusion, in super-diffusive regime, which become relevand whenever one attem…
The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants
M. Marseguerra, A. Zoia
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…
First passage times and distances along critical curves
A. Zoia, Y. Kantor, M. Kardar
We propose a model for anomalous transport in inhomogeneous environments, such as fractured rocks, in which particles move only along pre-existing self-similar curves (cracks). The…