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

Maike A. F. dos Santos, Marcelo K. Lenzi and Ervin K. Lenzi

Advances in Mathematical Physics, 2017, vol. 2017, 1-7

Abstract:

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 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6361598

DOI: 10.1155/2017/6361598

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