A numerical scheme is proposed for analyzing transport phenomena in disordered media which satisfies the conservation principle. In order to validate the finite difference formulation, the analysis of usual Brownian motion on fractals is developed, the scaling of P(r, t) discussed and steady-state profile analyzed. The role of fluid dynamic conditions is addressed by means of two applications: gas velocity under Darcy regime and incompressible irrotational flow around a fractal cluster
In this work we have studied diffusion in critically disordered system modeled by a fractal in the f...
Deterministic diffusion is studied in simple, parameter-dependent dy- namical systems. The diffusion...
We present exact analytical results for properties of anomalous diffusion on a fractal mesh. The fra...
Renormalization analysis discussed in Giona et al. (1996a, Chem. Engng Sci., 51, 4717 4729) is appli...
This special issue gathers together a number of recent papers on fractal geometry and its applicatio...
A modified Fokker-Planck equation with continuous source for solute transport in fractal porous medi...
In this paper, we present numerical procedures to compute solutions of partial differential equation...
We develop in detail a renormalization analysis of transport equations on fractals by considering re...
When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than t...
This is the second part of the special issue on fractal geometry and its applications to the modelin...
The known properties of diffusion on fractals are reviewed in order to give a general outlook of the...
The problem of biased diffusion in disordered media (percolation clusters) is analysed by means of t...
The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-tra...
Abstract: The recent interest in fractals in the geosciences literature has led to several proposed ...
In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractal...
In this work we have studied diffusion in critically disordered system modeled by a fractal in the f...
Deterministic diffusion is studied in simple, parameter-dependent dy- namical systems. The diffusion...
We present exact analytical results for properties of anomalous diffusion on a fractal mesh. The fra...
Renormalization analysis discussed in Giona et al. (1996a, Chem. Engng Sci., 51, 4717 4729) is appli...
This special issue gathers together a number of recent papers on fractal geometry and its applicatio...
A modified Fokker-Planck equation with continuous source for solute transport in fractal porous medi...
In this paper, we present numerical procedures to compute solutions of partial differential equation...
We develop in detail a renormalization analysis of transport equations on fractals by considering re...
When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than t...
This is the second part of the special issue on fractal geometry and its applications to the modelin...
The known properties of diffusion on fractals are reviewed in order to give a general outlook of the...
The problem of biased diffusion in disordered media (percolation clusters) is analysed by means of t...
The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-tra...
Abstract: The recent interest in fractals in the geosciences literature has led to several proposed ...
In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractal...
In this work we have studied diffusion in critically disordered system modeled by a fractal in the f...
Deterministic diffusion is studied in simple, parameter-dependent dy- namical systems. The diffusion...
We present exact analytical results for properties of anomalous diffusion on a fractal mesh. The fra...