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

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  • Maike A. F. dos Santos
  • Marcelo K. Lenzi
  • Ervin K. Lenzi

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.

Suggested Citation

  • Maike A. F. dos Santos & Marcelo K. Lenzi & Ervin K. Lenzi, 2017. "Anomalous Diffusion with an Irreversible Linear Reaction and Sorption‐Desorption Process," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:6361598
    DOI: 10.1155/2017/6361598
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