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

2020/02/11 by Lukas Schrack, Thomas Franosch
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Chemistry #Classical mechanics #Colloid #Condensed matter physics #Coupling (piping) #Geometry #Glass transition #Liquid Crystal Research Advancements #Material Dynamics and Properties #Materials science #Mathematics #Mode coupling #Newtonian fluid #Optics #Physical chemistry #Physics #Relaxation (psychology) #Singularity #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1080/14786435.2020.1722859

published as Philosophical Magazine, 100:8, 1032-1057 (2020)

openalex publication_date 2020/02/11 · arxiv created 2020/07/17 · arxiv updated 2020/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Available states and available space: static properties that predict self-diffusivity of confined fluids
• Thermodynamics Predicts How Confinement Modifies the Dynamics of the Equilibrium Hard-Sphere Fluid
• Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
• Effect of composition changes on the structural relaxation of a binary mixture
• Colloidal Glass Transition Observed in Confinement
• Layering and Position-Dependent Diffusive Dynamics of Confined Fluids
• Mode-coupling theory of the glass transition for confined fluids
• Test of mode coupling theory for a supercooled liquid of diatomic molecules. II.q-dependent orientational correlators
• Tuning Density Profiles and Mobility of Inhomogeneous Fluids
• Test of mode coupling theory for a supercooled liquid of diatomic molecules. I. Translational degrees of freedom
• Mixing Effects for the Structural Relaxation in Binary Hard-Sphere Liquids