Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces
Article
Henry, B. I., Langlands, T. A. M. and Straka, P.. 2010. "Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces." Physical Review Letters. 105 (17), pp. 17062-1-170602-4. https://doi.org/10.1103/PhysRevLett.105.170602
Article Title | Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces |
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ERA Journal ID | 1019 |
Article Category | Article |
Authors | Henry, B. I. (Author), Langlands, T. A. M. (Author) and Straka, P. (Author) |
Journal Title | Physical Review Letters |
Journal Citation | 105 (17), pp. 17062-1-170602-4 |
Number of Pages | 4 |
Year | 2010 |
Place of Publication | United States |
ISSN | 0031-9007 |
1079-7114 | |
1092-0145 | |
Digital Object Identifier (DOI) | https://doi.org/10.1103/PhysRevLett.105.170602 |
Web Address (URL) | http://link.aps.org/doi/10.1103/PhysRevLett.105.170602 |
Abstract | We derive a fractional Fokker-Planck equation for subdiffusion in a general space- and time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation. |
Keywords | fractional Fokker-Planck equation; anomalous subdiffusion; Langevin equation; differential equations |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 490510. Stochastic analysis and modelling |
490410. Partial differential equations | |
490105. Dynamical systems in applications | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | University of New South Wales |
Department of Mathematics and Computing |
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