Glass Transition in Confined Geometry

Abstract. We study bidisperse colloidal suspensions confined within glass microcapillary tubes to model the glass transition in confined cylindrical geometries. We use high speed three-dimensional confocal microscopy to observe particle motions for a wide range of volume fractions and tube radii. Holding volume fraction constant, we find that particles move slower in thinner tubes. The tube walls induce a gradient in particle mobility: particles move substantially slower near the walls. This suggests that the confinement-induced glassiness may be due to an interfacial effect.

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“…This is in contrast to some theoretical predictions [56][57][58]. However, our data are only at a limited number of tube sizes, as shown in Fig.…”

Section: Discussioncontrasting

confidence: 93%

Slow dynamics in cylindrically confined colloidal suspensions

Saklayen

Hunter

Edmond

et al. 2013

AIP Conference Proceedings

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“…Matrix-valued correlation functions occur for example considering mixtures of different species [2,3,12]. Several relaxation channels emerge naturally for molecular fluids [14,15] or in confined geometry [13,16,17] and yield a different mathematical structure, nevertheless it appears feasible to demonstrate the existence of the long-time limit also for this case.…”

Section: Discussionmentioning

confidence: 99%

Long-time limit of correlation functions

Franosch¹

2014

J. Phys. A: Math. Theor.

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Auto-correlation functions in an equilibrium stochastic process are well-characterized by Bochner's theorem as Fourier transforms of a finite symmetric Borel measure. The existence of a long-time limit of these correlation functions depends on the spectral properties of the measure. Here we provide conditions applicable to a wide-class of dynamical theories guaranteeing the existence of the long-time limit. We discuss the implications in the context of the mode-coupling theory of the glass transition where a non-trivial long-time limit signals an idealized glass state.

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“…On the other hand, although it is true that in some cases the dynamical behavior has been addressed [7,8], few non-equilibrium results seem to be well established in the context of a general theory. Recently, the interest in the slit geometry with two parallel, hard plates of a single component system of hard spheres, with a separation between the two plates smaller than two particle diameters, has largely increased, due to a series of experimental observations in systems of macroscopic particles [9][10][11][12].…”

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confidence: 99%

Kinetic equation and nonequilibrium entropy for a quasi-two-dimensional gas

2016

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A kinetic equation for a dilute gas of hard spheres confined between two parallel plates separated a distance smaller than two particle dimeters is derived. It is a Boltzmann-like equation, which incorporates the effect of the confinement on the particle collisions. A function S(t) is constructed by adding to the Boltzmann expression a confinement contribution. Then it is shown that for the solutions of the kinetic equation, S(t) increases monotonically in time, until the system reaches a stationary inhomogeneous state, when S becomes the equilibrium entropy of the confined system as derived from equilibrium statistical mechanics. From the entropy, other equilibrium properties are obtained, and Molecular Dynamics simulations are used to verify some of the theoretical predictions.

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Glass Transition in Confined Geometry

Cited by 119 publications

References 29 publications

Slow dynamics in cylindrically confined colloidal suspensions

Slow dynamics in cylindrically confined colloidal suspensions

Long-time limit of correlation functions

Kinetic equation and nonequilibrium entropy for a quasi-two-dimensional gas

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