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… 

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