Henry, B. I. and Langlands, T. A. M. 
ORCID: https://orcid.org/0000-0001-7679-6891 and Straka, P.
(2010)
Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces.
Physical Review Letters, 105 (17).
17062-1-170602-4.
ISSN 0031-9007
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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.105.17...
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.
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| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | Accepted version deposited in accordance with the copyright policy of the publisher. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Date Deposited: | 15 Mar 2011 03:26 |
| Last Modified: | 03 Jul 2013 00:02 |
| Uncontrolled Keywords: | fractional Fokker-Planck equation; anomalous subdiffusion; Langevin equation; differential equations |
| Fields of Research (2008): | 01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling 01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations 01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4905 Statistics > 490510 Stochastic analysis and modelling 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490410 Partial differential equations 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490105 Dynamical systems in applications |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| Identification Number or DOI: | https://doi.org/10.1103/PhysRevLett.105.170602 |
| URI: | http://eprints.usq.edu.au/id/eprint/8720 |
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