# A3: Coarse-graining frequency-dependent phenomena and memory in colloidal systems

Theoretical frameworks of dynamic coarse-graining typically often assume that “fast” degrees of freedom adjust adiabatically to the instantaneous conformations of “slow” (coarse-grained) degrees of freedom. If the separation of time scales is not perfect, however, memory effects must be taken into account. In this project we will explore different strategies of implementing them, namely (i) direct reconstruction of memory kernels from time-dependent correlation function, and (ii) construction of equivalent Markovian models with additional “phantom” degrees of freedom. We will develop and test these strategies at the example of charged colloids in electrolyte solution

Frequency-dependent hydrodynamic interaction between two solid spheres

Physics of Fluids 29 (12),
126101
(2017);

doi:10.1063/1.5001565

Iterative Reconstruction of Memory Kernels

Journal of Chemical Theory and Computation 13 (6),
2481-2488
(2017);

doi:10.1021/acs.jctc.7b00274

Computing bulk and shear viscosities from simulations of fluids with dissipative and stochastic interactions

The Journal of Chemical Physics 144 (20),
204104
(2016);

doi:10.1063/1.4950760

Flows and mixing in channels with misaligned superhydrophobic walls

Physical Review E 91 (3),
(2015);

doi:10.1103/physreve.91.033020

## Contact

- Prof. Dr. Friederike Schmid
- Institut für Physik
- Universität Mainz
- Staudingerweg 9
- D-55128 Mainz
- Tel: +49 6131 3920365
- Fax: +49 5131 3920496
- Sekr: +49 6131 3920495
- friederike.schmidjfeHyygoZE@.TDoNwvuni-mainz.de
- http://www.komet331.physik.uni-mainz.de/schmid.php