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Geometrical interpretation of long-time tails of first-passage time distributions in porous media with stagnant parts

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2014

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Wirner, Frank
Scholz, Christian

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http://nbn-resolving.de/urn:nbn:de:bsz:352-0-411210
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https://doi.org/10.1103/PhysRevE.90.013025
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Physical Review E. 2014, 90(1), pp. 013025. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.90.013025

Zusammenfassung

Using a combined experimental-numerical approach, we study the first-passage time distributions (FPTD) of small particles in two-dimensional porous materials. The distributions in low-porosity structures show persistent long-time tails, which are independent of the Péclet number and therefore cannot be explained by the advection-diffusion equation. Instead, our results suggest that these tails are caused by stagnant, i.e., quiescent areas where particles are trapped for some time. Comparison of measured FPTD with an analytical expression for the residence time of particles, which diffuse in confined regions and are able to escape through a small pore, yields good agreement with our data.

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530 Physik

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ISO 690WIRNER, Frank, Christian SCHOLZ, Clemens BECHINGER, 2014. Geometrical interpretation of long-time tails of first-passage time distributions in porous media with stagnant parts. In: Physical Review E. 2014, 90(1), pp. 013025. ISSN 1539-3755. eISSN 1550-2376. Available under: doi: 10.1103/PhysRevE.90.013025
BibTex
@article{Wirner2014-07-28Geome-39277,
  year={2014},
  doi={10.1103/PhysRevE.90.013025},
  title={Geometrical interpretation of long-time tails of first-passage time distributions in porous media with stagnant parts},
  number={1},
  volume={90},
  issn={1539-3755},
  journal={Physical Review E},
  author={Wirner, Frank and Scholz, Christian and Bechinger, Clemens}
}
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