Dynamical properties of densely packed confined hard-sphere fluids

Abstract

Numerical solutions of the mode-coupling theory (MCT) equations for a hard-sphere fluid confined between two parallel hard walls are elaborated. The governing equations feature multiple parallel relaxation channels which significantly complicate their numerical integration. We investigate the intermediate scattering functions and the susceptibility spectra close to structural arrest and compare to an asymptotic analysis of the MCT equations. We corroborate that the data converge in the $\beta$-scaling regime to two asymptotic power laws, viz. the critical decay and the von Schweidler law. The numerical results reveal a non-monotonic dependence of the power-law exponents on the slab width and a non-trivial kink in the low-frequency susceptibility spectra. We also find qualitative agreement of these theoretical results to event-driven molecular-dynamics simulations of polydisperse hard-sphere system. In particular, the non-trivial dependence of the dynamical properties on the slab width is well reproduced.

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Cited by in corpus (8)

• Structural properties of liquids in extreme confinement
• Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition
• Computer Simulations and Mode-Coupling Theory of Glass-Forming Confined Hard-Sphere Fluids
• Tagged-particle dynamics in confined colloidal liquids
• Glass transition in colloidal monolayers controlled by light-induced caging
• Mode-coupling theory of the glass transition for a liquid in a periodic potential
• Tagged-particle motion in quasi-confined colloidal hard-sphere liquids
• Inhomogeneous Diffusion in Confined Colloidal Suspensions