Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6361598 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555111389331456 |
|---|---|
| author | Maike A. F. dos Santos Marcelo K. Lenzi Ervin K. Lenzi |
| author_facet | Maike A. F. dos Santos Marcelo K. Lenzi Ervin K. Lenzi |
| author_sort | Maike A. F. dos Santos |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6a19100b7d8646d19689d6477a9161e0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6a19100b7d8646d19689d6477a9161e02025-02-03T05:49:33ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/63615986361598Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption ProcessMaike A. F. dos Santos0Marcelo K. Lenzi1Ervin K. Lenzi2Departamento de Fisica, Universidade Estadual de Ponta Grossa, Avenida General Carlos Cavalcanti 4748, Ponta Grossa, PR, BrazilDepartamento de Engenharia Qumica, Universidade Federal do Paraná, Av. Cel. Francisco H. dos Santos, 210 Jardim das Americas, 81531-990 Curitiba, PR, BrazilDepartamento de Fisica, Universidade Estadual de Ponta Grossa, Avenida General Carlos Cavalcanti 4748, Ponta Grossa, PR, BrazilWe 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.http://dx.doi.org/10.1155/2017/6361598 |
| spellingShingle | Maike A. F. dos Santos Marcelo K. Lenzi Ervin K. Lenzi Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process Advances in Mathematical Physics |
| title | Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process |
| title_full | Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process |
| title_fullStr | Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process |
| title_full_unstemmed | Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process |
| title_short | Anomalous Diffusion with an Irreversible Linear Reaction and Sorption-Desorption Process |
| title_sort | anomalous diffusion with an irreversible linear reaction and sorption desorption process |
| url | http://dx.doi.org/10.1155/2017/6361598 |
| work_keys_str_mv | AT maikeafdossantos anomalousdiffusionwithanirreversiblelinearreactionandsorptiondesorptionprocess AT marceloklenzi anomalousdiffusionwithanirreversiblelinearreactionandsorptiondesorptionprocess AT ervinklenzi anomalousdiffusionwithanirreversiblelinearreactionandsorptiondesorptionprocess |