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Polymer dynamics in time-dependent Matheron-de Marsily flows: an exactly solvable model
S Jespersen1, G Oshanin, A Blumen
1Institute of Physics and Astronomy, University of Aarhus, Denmark.
Summary
We present a new model for random layered media with time-varying flows. This model allows exact solutions for particle and polymer dynamics, revealing complex dynamical patterns in these materials.
Area of Science:
- Physics
- Materials Science
- Chemical Engineering
Background:
- The Matheron-de Marsily model describes flow in layered media.
- Understanding particle and polymer dynamics in complex media is crucial.
Purpose of the Study:
- To introduce a novel model for random layered media with time-dependent flows.
- To provide exact analytical solutions for particle and polymer motion within these media.
Main Methods:
- Extension of the Matheron-de Marsily model to include time-varying flows.
- Exact analytical solution of equations of motion for single particles.
- Exact analytical solution of equations of motion for Rouse chain polymers.
Main Results:
- The developed model accurately captures dynamics in time-dependent layered media.
- Exact solutions reveal diverse dynamical behaviors for particles and polymers.
- Demonstration of rich and varied dynamical patterns arising from the model.
Conclusions:
- The extended model offers a powerful tool for analyzing transport in complex layered systems.
- The findings provide fundamental insights into the dynamics of particles and polymers in random media.
- This work opens avenues for further research into time-dependent transport phenomena.