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, issue 1

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 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.

Date: 2017
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https://doi.org/10.1155/2017/6361598

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:6361598

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