Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
arXiv:2007.08835 · doi:10.1080/14786435.2020.1722859
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 universality of the glass-transition singularity with respect to the microscopic dynamics.
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Cited by in corpus (8)
- Stress correlation function and linear response of Brownian particles
- Dynamical properties of densely packed confined hard-sphere fluids
- Glassy dynamics of sticky hard spheres beyond the mode-coupling regime
- Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition
- Tagged-particle dynamics in confined colloidal liquids
- Computer Simulations and Mode-Coupling Theory of Glass-Forming Confined Hard-Sphere Fluids
- Tagged-particle motion in quasi-confined colloidal hard-sphere liquids
- Inhomogeneous Diffusion in Confined Colloidal Suspensions