Fractional diffusion in force fields, fractional electro-diffusion and fractional chemotaxis diffusion
Paper
Langlands, Trevor, Henry, Bruce and Straka, Peter. 2010. "Fractional diffusion in force fields, fractional electro-diffusion and fractional chemotaxis diffusion." Henry, Bruce and Roberts, John (ed.) Dynamics Days Asia Pacific 6 Conference (DDAP6). Sydney, Australia 12 - 14 Jul 2010 Sydney, Australia.
Paper/Presentation Title | Fractional diffusion in force fields, fractional electro-diffusion and fractional chemotaxis diffusion |
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Presentation Type | Paper |
Authors | Langlands, Trevor (Author), Henry, Bruce (Author) and Straka, Peter (Author) |
Editors | Henry, Bruce and Roberts, John |
Journal or Proceedings Title | Proceedings of the Dynamics Days Asia Pacific 6 Conference (DDAP6) |
Year | 2010 |
Place of Publication | Sydney, Australia |
Web Address (URL) of Paper | http://conferences.science.unsw.edu.au/DDAP6/DDAP6.html |
Conference/Event | Dynamics Days Asia Pacific 6 Conference (DDAP6) |
Event Details | Dynamics Days Asia Pacific 6 Conference (DDAP6) Event Date 12 to end of 14 Jul 2010 Event Location Sydney, Australia |
Abstract | Fractional diffusion equations for anomalous subdiffusion in space-and-time-dependent force fields are derived from power law waiting-time continuous time random walks biased by Boltzmann weights. The evolution equations for the probability density function are equivalently given by a subordinated stochastic Langevin equation. Biophysics applications to fractional chemotactic diffusion and fractional electrodiffusion are considered. |
Keywords | force fields; Boltzmann; equations; biophysics |
ANZSRC Field of Research 2020 | 490506. Probability theory |
490409. Ordinary differential equations, difference equations and dynamical systems | |
510501. Biological physics | |
Byline Affiliations | Department of Mathematics and Computing |
University of New South Wales | |
Institution of Origin | University of Southern Queensland |
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