19–22 May 2026
Europe/Paris timezone

Diffusion of Charged Rods in Three-Dimensional Channels with Varying Cross Section

19 May 2026, 09:50
1h 30m
Poster Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster

Speaker

Nadja Ray (KU Eichstätt-Ingolstadt)

Description

A fundamental understanding of particle transport through porous media is essential for biomedical, environmental, and technological applications. Although the detailed shapes of transported particles and the surrounding pore space strongly influence transport properties, they are often neglected in theoretical and numerical studies. Here, we investigate the transport of rod-like charged particles subject to diffusion and electric drift in three-dimensional channels with spatially varying cross sections, explicitly accounting for geometrical confinement. By applying the Fick–Jacobs approximation to the particle probability transport equation, we derive an effective one-dimensional model. We demonstrate how channel geometry and particle properties govern key transport characteristics, including the mean first passage time and permeability.

Country Germany
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Author

Nadja Ray (KU Eichstätt-Ingolstadt)

Co-authors

Alena Semkiv (KU Eichstätt-Ingolstadt) Paolo Malgaretti (Helmholtz Institute for Renewable Energy)

Presentation materials

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