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

作者：dos Santos Maike A F; Lenzi Marcelo K; Lenzi Ervin K^*

来源：Advances in Mathematical Physics, 2017, 2017: 6361598.

DOI：10.1155/2017/6361598

We investigate the diffusion of two different species in a semi-infinite mediumconsidering 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 systemare 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.

• 出版日期2017