# Mode-coupling theory of the glass transition for colloidal liquids in slit geometry

@article{Schrack2020ModecouplingTO, title={Mode-coupling theory of the glass transition for colloidal liquids in slit geometry}, author={Lukas Schrack and Thomas Franosch}, journal={Philosophical Magazine (Abingdon, England)}, year={2020}, volume={100}, pages={1032 - 1057} }

ABSTRACT We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection operator technique to colloidal liquids in slit geometry. Investigating both the collective dynamics as well as the tagged-particle motion, we prove that the mode-coupling functional assumes the same form as in the Newtonian case corroborating the…

## 6 Citations

### Tagged-particle dynamics in confined colloidal liquids.

- PhysicsPhysical review. E
- 2020

It is shown that neither the microscopic dynamics nor the type of intermediate scattering function qualitatively changes the asymptotic dynamics in vicinity of the glass transition, and similar characteristics of confinement are found in the low-frequency susceptibility spectrum which are interpreted as footprints of parallel relaxation.

### Tagged-particle motion in quasi-confined colloidal hard-sphere liquids

- Physics
- 2021

We investigate the tagged-particle motion in a strongly interacting quasi-confined liquid using periodic boundary conditions along the confining direction. Within a mode-coupling theory of the glass…

### Dynamical properties of densely packed confined hard-sphere fluids.

- PhysicsPhysical review. E
- 2020

The numerical results reveal a nonmonotonic dependence of the power-law exponents on the slab width and a nontrivial kink in the low-frequency susceptibility spectra and qualitative agreement of these theoretical results to event-driven molecular dynamics simulations of polydisperse hard-sphere systems is found.

### Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

- PhysicsSoft matter
- 2021

It is demonstrated that when the hierarchical order of GMCT increases, the effect of the short-ranged attractive interactions becomes more evident in the dynamics, implying that GMCT is more sensitive to subtle microstructural differences than MCT, and that the framework provides a promising first-principles approach to systematically go beyond the MCT regime.

### Stress correlation function and linear response of Brownian particles

- PhysicsThe European physical journal. E, Soft matter
- 2020

It is argued that the found memory function reduces to the shear and bulk viscosity in the hydrodynamic limit of smooth and slow fluctuations and derive the corresponding hydrod dynamic equations.

### Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions…

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