Dynamical properties of densely packed confined hard-sphere fluids

Jung, Gerhard; Caraglio, Michele; Schrack, Lukas; Franosch, Thomas

doi:10.1103/physreve.102.012612

Cited by 8 publications

(28 citation statements)

References 80 publications

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“…As anticipated, apart from the high-frequency spectrum, the dynamic susceptibility does not depend on the microscopic dynamics (Newtonian or Brownian) and the type of ISF (coherent or incoherent) [56]. This holds in particular for the "kink" visible in the low-frequency susceptibility spectrum for strong confinement L = 1.0σ (see Fig.…”

Section: B Incoherent Scattering Function and Dynamic Susceptibilitysupporting

confidence: 76%

“…As discussed in Ref. [56], both a and b display a clear non-monotonic dependence on L which is therefore similarly true for γ. Interestingly, γ is very different between L = 1.0σ and L = 2.0σ, although the respective critical packing fractions ϕ c are basically equivalent. When analyzing larger wall separations it stands out that the convergence to the bulk limit is very slow, as has already been discussed in Ref.…”

Section: The Effect Of Confinement On Glassy Dynamicssupporting

confidence: 61%

“…2 in Ref. [56]). For frequencies much smaller than the microscopic ones one then observes a power-law in the dynamic susceptibility, χ 0 ∝ ω a , which corresponds to the critical decay displayed in the intermediate scattering function.…”

Section: B Incoherent Scattering Function and Dynamic Susceptibilitymentioning

confidence: 91%

“…The results are compared to the coherent dynamics in Newtonian liquids as discussed in Ref. [56] and to bulk liquids [55].…”

Section: Asymptotic Dynamics Close To the Glass Transitionmentioning

confidence: 99%

“…To solve this equation numerically and determine the full time dependence of the relaxation process we apply the "diagonal approximation" discussed in the previous literature (see Ref. [56], section II. B).…”

Section: A Effective Memory Kernel and Diagonal Approximationmentioning

confidence: 99%

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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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Section: B Incoherent Scattering Function and Dynamic Susceptibilitysupporting

confidence: 76%

Section: The Effect Of Confinement On Glassy Dynamicssupporting

confidence: 61%

Section: B Incoherent Scattering Function and Dynamic Susceptibilitymentioning

confidence: 91%

“…The results are compared to the coherent dynamics in Newtonian liquids as discussed in Ref. [56] and to bulk liquids [55].…”

Section: Asymptotic Dynamics Close To the Glass Transitionmentioning

confidence: 99%

Section: A Effective Memory Kernel and Diagonal Approximationmentioning

confidence: 99%

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Tagged-particle dynamics in confined colloidal liquids

2020

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Layering and packing in confined colloidal suspensions

et al. 2022

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Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition

et al. 2020

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The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasiconfined liquids, where periodic boundary conditions along the confining direction restore translational invariance. This system provides a means to investigate the interplay of the relevant length scales of the confinement and the local order. We provide a mode-coupling theory of the glass transition (MCT) for quasi-confined liquids and elaborate an efficient method for the numerical implementation. The nonergodicity parameters in MCT are compared to computer-simulation results for a hard-sphere fluid. We evaluate the nonequilibrium-state diagram and investigate the collective intermediate scattering function. For both methods, nonmonotonic behavior depending on the confinement length is observed.

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Dynamical properties of densely packed confined hard-sphere fluids

Cited by 8 publications

References 80 publications

Tagged-particle dynamics in confined colloidal liquids

Tagged-particle dynamics in confined colloidal liquids

Layering and packing in confined colloidal suspensions

Dynamic properties of quasi-confined colloidal hard-sphere liquids near the glass transition

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