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

Schrack, Lukas; Franosch, Thomas

doi:10.1080/14786435.2020.1722859

Cited by 11 publications

(18 citation statements)

References 63 publications

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“…22 Despite the promising GMCT results for hard spheres, many real glass-forming materials are governed by more complex interaction potentials between the particles. Standard MCT has already been widely tested for different glass-forming materials, including model systems interacting through Lennard-Jones potentials, 24,25 amorphous metal alloys, 26,27 colloidal suspensions, [28][29][30] polymers, 31,32 vitrimers, 33 and systems interacting through many-body potentials. 34 .…”

Section: Introductionmentioning

confidence: 99%

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Luo

Janssen

2021

Soft Matter

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Section: Introductionmentioning

confidence: 99%

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Luo

Janssen

2021

Soft Matter

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“…For supercooled bulk liquids these theories successfully predict several important features like the slowing down of transport, stretching of the intermediate scattering function, as well as a two-step powerlaw relaxation behavior [48][49][50]. Mode-coupling theory was recently extended to describe hard spheres in slit geometry (cMCT) [51][52][53][54]. The microscopic picture of MCT is the trapping of particles in transient "cages" formed by their respective neighbors, which has been investigated systematically in terms of the mean-square displacement close to the glass transition [55].…”

Section: Introductionmentioning

confidence: 99%

Tagged-particle dynamics in confined colloidal liquids

2020

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We present numerical results for the tagged-particle dynamics by solving the mode-coupling theory in confined geometry for colloidal liquids (cMCT). We show that neither the microscopic dynamics nor the type of intermediate scattering function qualitatively changes the asymptotic dynamics in vicinity of the glass transition. In particular, we find similar characteristics of confinement in the low-frequency susceptibility spectrum which we interpret as footprints of parallel relaxation. We derive predictions for the localization length and the scaling of the diffusion coefficient in the supercooled regime and discover a pronounced non-monotonic dependence on the confinement length. For dilute liquids in the hydrodynamic limit we calculate an analytical expression for the intermediate scattering functions, which is in perfect agreement with event-driven Brownian dynamics simulations. From this, we derive an expression for persistent anti-correlations in the velocity autocorrelation function (VACF) for confined motion. Using numerical results of the cMCT equations for the VACF we also identify a cross-over between different scalings corresponding to a transition from unconfined to confined behaviour.

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“…Our claim rests on the observation that the restriction to the longitudinal contributions was artificial and the full tensorial structure of the stress arises naturally, also e.g. in confined fluids [25]. Gratifyingly, our generalization leads to the same expression for the stress autocorrelation as in overdamped Newtonian and Langevin systems [5][6][7].…”

Section: Irreducible Memory Functionmentioning

confidence: 86%

Stress correlation function and linear response of Brownian particles

Vogel

Fuchs

2020

Eur. Phys. J. E

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Abstract. We determine the non-local stress autocorrelation tensor in an homogeneous and isotropic system of interacting Brownian particles starting from the Smoluchowski equation of the configurational probability density. In order to relate stresses to particle displacements as appropriate in viscoelastic states, we go beyond the usual hydrodynamic description obtained in the Zwanzig-Mori projection-operator formalism by introducing the proper irreducible dynamics following Cichocki and Hess, and Kawasaki. Differently from these authors, we include transverse contributions as well. This recovers the expression for the stress autocorrelation including the elastic terms in solid states as found for Newtonian and Langevin systems, in case that those are evaluated in the overdamped limit. Finally, we argue that the found memory function reduces to the shear and bulk viscosity in the hydrodynamic limit of smooth and slow fluctuations and derive the corresponding hydrodynamic equations. Graphical abstract

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

Cited by 11 publications

References 63 publications

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Tagged-particle dynamics in confined colloidal liquids

Stress correlation function and linear response of Brownian particles

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