Tagged-particle motion in a dense confined liquid
arXiv:1406.5001 · doi:10.1103/PhysRevE.89.062122
Abstract
We investigate the dynamics of a tagged particle embedded in a strongly interacting confined liquid enclosed between two opposing flat walls. Using the Zwanzig-Mori projection operator formalism we obtain an equation of motion for the incoherent scattering function suitably generalized to account for the lack of translational symmetry. We close the equations of motion by a self-consistent mode-coupling ansatz. The interaction of the tracer with the surrounding liquid is encoded in generalized direct correlation functions. We extract the in-plane dynamics and provide a microscopic expression for the diffusion coefficient parallel to the walls. The solute particle may differ in size or interaction from the surrounding host-liquid constituents offering the possibility of a systematic analysis of dynamic effects on the tagged-particle motion in confinement.
12 Pages; published in PRE
References in corpus (16)
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- Layering and position-dependent diffusive dynamics of confined fluids
- Liquid-glass transition of a fluid confined in a disordered porous matrix: A mode-coupling theory
- Glass Transition in Confined Geometry
- Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media
- Dynamic Glass Transition in Two Dimensions
- Single-particle and collective slow dynamics of colloids in porous confinement
- Does confining the hard-sphere fluid between hard walls change its average properties?
- Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions
- Tuning density profiles and mobility of inhomogeneous fluids
- Mode-coupling theory of the glass transition for confined fluids
- Fluids in Extreme Confinement
- Available states and available space: Static properties that predict dynamics of confined fluids
- Dynamic arrest in model porous media -- intermediate scattering functions
- Structural quantities of quasi-two-dimensional fluids
- Glass transition of binary mixtures of dipolar particles in two dimensions
Cited by in corpus (13)
- Non-monotonic effect of confinement on the glass transition
- Nonergodicity parameters of confined hard-sphere glasses
- Glassy dynamics in confinement: Planar and bulk limit of the mode-coupling theory
- Local structure-mobility relationships of confined fluids reverse upon supercooling
- Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
- Enhanced diffusion in finite-size simulations of a fragile diatomic glass former
- Dynamical properties of densely packed confined hard-sphere fluids
- Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition
- Tuning structure and mobility of solvation shells surrounding tracer additives
- 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