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Updated: May 6, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Diffusion, subdiffusion, and trapping of active particles in heterogeneous media
Oleksandr Chepizhko1, Fernando Peruani
1Department for Theoretical Physics, Odessa National University, Dvoryanskaya 2, 65026 Odessa, Ukraine and Laboratoire J.A. Dieudonné, UMR 7351 CNRS, Université Nice Sophia Antipolis, Parc Valrose, F-06108 Nice Cedex 02, France.
Active particles in heterogeneous environments exhibit two distinct transport regimes. Their motion transitions from diffusive to subdiffusive due to obstacle interactions and turning speed, enabling particle filtering applications.
Area of Science:
- Physics
- Soft Matter Physics
- Statistical Mechanics
Background:
- Active particles exhibit complex transport behaviors in confined or heterogeneous environments.
- Understanding particle dynamics in the presence of obstacles is crucial for various applications.
Purpose of the Study:
- To investigate the transport properties of active particles in a 2D heterogeneous space with obstacles.
- To analyze the influence of obstacle density and particle turning speed on particle motion.
Main Methods:
- Numerical simulations were employed to model particle trajectories.
- Analytical calculations were performed to derive key transport parameters.
- Mean square displacement was analyzed as a function of obstacle density and turning speed.
Main Results:
- Particle motion shows two distinct regimes based on obstacle density and turning speed (γ).
- At low γ, diffusive motion occurs with a diffusion coefficient minimum at intermediate obstacle density.
- High obstacle density and large γ lead to spontaneous particle trapping and subdiffusive motion.
Conclusions:
- Active particle transport is significantly altered by spatial heterogeneity and turning speed.
- The observed phenomena can be leveraged for designing active particle filters.
- This study provides insights into fundamental transport mechanisms in complex media.
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