Wed December 10th 2014
16:00 – 17:00
Seminar Shear-induced diffusion of non-Brownian particles described by a colored noise Fokker-Planck equation
Laura Lukassen


In contrast to Brownian particles, non-Brownian particles are not influenced by random molecule pushes of the solvent molecules and, thus, resultant motion statistics is very different from Brownian diffusive motion. In particular, a very interesting phenomenon arises for non-Brownian particles under shear influence, which is named shear-induced diffusion. Diffusion processes can be described by stochastic differential equations, in particular the equivalent Fokker-Planck type description. So far, this phenomenon has (mostly) been described by Fokker-Planck equations in pure position space. In this context, the authors have shown, that a significant extension of the Fokker-Planck model is necessary in order to correctly represent the long correlation times arising in shear-induced diffusion. Here, a new Fokker-Planck equation in coupled position and colored noise velocity space will be presented. Details may be taken from Lukassen, L.J., Oberlack, M., Physical Review E 89, 052145, 2014.

Acknowledgements: The work of L. Lukassen is supported by the “Excellence Initiative” of the German Federal and State Governments and the Graduate School of computational Engineering

Authors: Lukassen, Laura J.; Oberlack, Martin (Fluid Dynamics, Dept. Mechanical Engineering, Graduate School of Computational Engineering, Technical University Darmstadt)
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The 10th Complex Motion in Fluids 2021
Max Planck Gesellschaft
Centre for Scientific Computing