A model for reversible reaction in a subdiffusive regime
J. Math. Phys. 50, 102708 (2009); doi:10.1063/1.3236682
Published 13 October 2009
You are not logged in to this journal. Log in
In this study, a model of reversible reaction in subdiffusive regime is set up by incorporating a reversible reaction term to a subdiffusion equation. Some models discussed previously are special cases of the model here and can be obtained by selecting proper parameters in the equations. Two different forms of the solution are given among which one is more suitable for computation. Though the physical interpretation is not clear, the discussions show that it is reasonable for describing the reaction-diffusion process.
©2009 American Institute of Physics
| History: | Received 19 June 2009; accepted 31 August 2009; published 13 October 2009 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/50/102708/1 |
REFERENCES (18)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- R. Metzler and J. Klafter,
Phys. Rep. 339, 1 (2000) . - R. Metzler and J. Klafter,
J. Phys. A 37, R161 (2004) . - Anormalous Transport, edited by R. Klages, G. Radons, and I. M. Sokolov (Wiley-VCH, Weinheim, 2007).
- I. Podlubny, Fractional Differential Equations (Academic, San Diego, 1999).
- R. K. Saxena, A. M. Mathai, and H. J. Haubold,
Astrophys. Space Sci. 305, 305 (2006) . - B. I. Henry and S. L. Wearne,
Physica A 276, 448 (2000) . - J. Sung, E. Barkai, R. J. Silbey, and S. Lee, J. Chem. Phys. 116, 2338 (2002).
- K. Seki, M. Wojcik, and M. Tachiya, J. Chem. Phys. 119, 2165 (2003).
- K. Seki, M. Wojcik, and M. Tachiya, J. Chem. Phys. 119, 7525 (2003).
- B. I. Henry, T. A. M. Langlands, and S. L. Wearne, Phys. Rev. E 74, 031116 (2006).
- I. M. Solokov, M. G. W. Schmidt, and F. Sagués, Phys. Rev. E 73, 031102 (2006).
- T. A. M. Langlands, B. I. Henry, and S. L. Wearne, Phys. Rev. E 77, 021111 (2008).
- A. Zoia, Phys. Rev. E 77, 041115 (2008).
- S. B. Yuste and K. Lindenberg,
Chem. Phys. 284, 169 (2002) . - D. Hernández, C. Varea, and R. A. Barrio, Phys. Rev. E 79, 026109 (2009).
- J. Crank, The Mathematics of Diffusion (Clarendon, Oxford, 1975).
- A. M. Mathai and R. K. Saxena, The H-Function With Applications in Statistics and Other Disciplines (Wiley Eastern, New Delhi, 1978).
- X. C. Li, M. Y. Xu, and S. W. Wang,
J. Phys. A: Math. Theor. 41, 155202 (2008) .







