Anomalous subdiffusion with multispecies linear reaction dynamics
Article
Langlands, Trevor, Henry, B. I. and Wearne, S. L.. 2008. "Anomalous subdiffusion with multispecies linear reaction dynamics." Physical Review B: Covering condensed matter and materials physics. 77, pp. 1-9. https://doi.org/10.1103/PhysRevE.77.021111
| Article Title | Anomalous subdiffusion with multispecies linear reaction dynamics |
|---|---|
| ERA Journal ID | 1131 |
| 1018 | |
| Article Category | Article |
| Authors | Langlands, Trevor (Author), Henry, B. I. (Author) and Wearne, S. L. (Author) |
| Journal Title | Physical Review B: Covering condensed matter and materials physics |
| Physical Review E | |
| Journal Citation | 77, pp. 1-9 |
| Number of Pages | 9 |
| Year | 2008 |
| Publisher | American Physical Society |
| Place of Publication | United States |
| ISSN | 1098-0121 |
| 1550-235X | |
| 2469-9950 | |
| 2469-9969 | |
| 1539-3755 | |
| 1550-2376 | |
| 2470-0045 | |
| 2470-0053 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1103/PhysRevE.77.021111 |
| Web Address (URL) | http://link.aps.org/doi/10.1103/PhysRevE.77.021111 |
| Abstract | We have introduced a set of coupled fractional reaction-diffusion equations to model a multispecies system undergoing anomalous subdiffusion with linear reaction dynamics. The model equations are derived from a mesoscopic continuous time random walk formulation of anomalously diffusing species with linear mean field reaction kinetics. The effect of reactions is manifest in reaction modified spatiotemporal diffusion operators as well as in additive mean field reaction terms. One consequence of the nonseparability of reaction and subdiffusion terms is that the governing evolution equation for the concentration of one particular species may include both reactive and diffusive contributions from other species. The general solution is derived for the multispecies system and some particular special cases involving both irreversible and reversible reaction dynamics are analyzed in detail. We have carried out Monte Carlo simulations corresponding to these special cases and we find excellent agreement with theory. |
| Keywords | anomalous subdiffusion, fractional reaction-diffusion equations, multi-species reactions |
| ANZSRC Field of Research 2020 | 490510. Stochastic analysis and modelling |
| 340607. Reaction kinetics and dynamics | |
| 490410. Partial differential equations | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | University of New South Wales |
| Icahn School of Medicine at Mount Sinai, United States |
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