Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process

Abstract EN

We investigate the diffusion of two different species in a semi-infinite medium considering the presence of linear reaction terms.

The dynamics for these species is governed by fractional diffusion equations.

We also consider the presence of an adsorption-desorption boundary condition.

The solutions for this system are found in terms of the H function of Fox and by analyzing the behavior of the mean square displacement a rich class of diffusion processes is verified.

In this sense, we show how the surface effects modify the bulk dynamics and promote an anomalous diffusion of system.