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

Presentation TypePaper
AuthorsLanglands, Trevor (Author), Henry, Bruce (Author) and Straka, Peter (Author)
EditorsHenry, Bruce and Roberts, John
Journal or Proceedings TitleProceedings of the Dynamics Days Asia Pacific 6 Conference (DDAP6)
Year2010
Place of PublicationSydney, Australia
Web Address (URL) of Paperhttp://conferences.science.unsw.edu.au/DDAP6/DDAP6.html
Conference/EventDynamics 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.

Keywordsforce fields; Boltzmann; equations; biophysics
ANZSRC Field of Research 2020490506. Probability theory
490409. Ordinary differential equations, difference equations and dynamical systems
510501. Biological physics
Byline AffiliationsDepartment of Mathematics and Computing
University of New South Wales
Institution of OriginUniversity of Southern Queensland
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