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Nat Phys, Vol. 4, No. 9. (2008), pp. 737-741.
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Science, Vol. 318, No. 5858. (21 December 2007), pp. 1895-1899.
Abstract
Structural rearrangements are an essential property of atomic and molecular glasses; they are critical in controlling resistance to flow and are central to the evolution of many properties of glasses, such as their heat capacity and dielectric constant. Despite their importance, these rearrangements cannot directly be visualized in atomic glasses. We used a colloidal glass to obtain direct three-dimensional images of thermally induced structural rearrangements in the presence of an applied shear. We identified localized irreversible shear transformation zones and determined ...
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Science, Vol. 287, No. 5453. (28 January 2000), pp. 627-631.
Abstract
10.1126/science.287.5453.627 ...
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Physical Review Letters, Vol. 99, No. 21. (2007), 215701.
Abstract
A glassy state of matter results if crystallization is avoided upon cooling or increasing density. However, the physical factors controlling the ease of vitrification and nature of the glass transition remain elusive. Using numerical simulations of polydisperse hard disks, we find a direct relation between medium-range crystalline ordering and the slow dynamics which characterizes the glass transition. This suggests an intriguing scenario that the strength of frustration controls both the ease of vitrification and nature of the glass transition. Vitrification may ...
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Nat Phys, Vol. 4, No. 9. (2008), pp. 711-715.
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Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 77, No. 6. (2008)
Abstract
We propose a model of a heterogeneous glass-forming liquid and compute the low-temperature behavior of a tagged molecule moving within it. This model exhibits stretched-exponential decay of the wave-number-dependent, self-intermediate scattering function in the limit of long times. At temperatures close to the glass transition, where the heterogeneities are much larger in extent than the molecular spacing, the time dependence of the scattering function crosses over from stretched-exponential decay with an index b=1/2 at large wave numbers to normal, diffusive behavior ...
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Physical Review Letters, Vol. 96, No. 18. (May 2006), 185701.
Abstract
We report that the local Debye-Waller factor in a simulated 2D glass-forming mixture exhibits significant spatial heterogeneities and that these short-time fluctuations provide an excellent predictor of the spatial distribution of the long-time dynamic propensities [Phys. Rev. Lett. 93 , 135701 (2004)]. In contrast, the potential energy per particle of the inherent structure does not correlate well with the spatially distributed dynamics. ...
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Journal of Non-Crystalline Solids In Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems, 5th International Discussion Meeting on Relaxations in Complex Systems, Vol. 352, No. 42-49. (15 November 2006), pp. 5098-5102.
Abstract
We examine the relation between the free volume per particle and the variance of the particle position, equivalent to a local Debye-Waller (DW) factor for a 2D glass-forming alloy using molecular dynamics simulations. We find that the latter quantity exhibits significant spatial heterogeneity despite involving trajectories two orders of magnitude shorter than those typically used to measure such heterogeneities. We find that the free volume exhibits no significant spatial correlation with the local DW factor. We conclude that the spatial variation ...
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The Journal of Chemical Physics, Vol. 126, No. 18. (2007), 184503.
Abstract
We study theoretically and numerically a family of multipoint dynamic susceptibilities that quantify the strength and characteristic length scales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments (fluctuation-dissipation relations and symmetries of relevant dynamical field theories) to relate the sensitivity of averaged two-time correlators to temperature and density to spontaneous fluctuations of the local dynamics. Our theoretical results are then compared to molecular dynamics simulations of the Newtonian, Brownian, and Monte Carlo dynamics of two representative glass-forming liquids, ...
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Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 74, No. 5. (2006)
Abstract
Dynamical four-point susceptibilities measure the extent of spatial correlations in the dynamics of glass forming systems. We show how these susceptibilities depend on the lengthscales that necessarily form part of their definition. The behavior of these susceptibilities is estimated by means of an analysis in terms of renewal processes within the context of dynamic facilitation. The analytic results are confirmed by numerical simulations of an atomistic model glass former, and of two kinetically constrained models. Hence we argue that the scenario ...
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Physical Review Letters, Vol. 94, No. 13. (2005)
Abstract
We report a molecular dynamics study of a simple model system that has the static properties of an ideal gas, yet exhibits nontrivial "glassy" dynamics behavior at high densities. The constituent molecules of this system are constructs of three infinitely thin hard rods of length L, rigidly joined at their midpoints. The crosses have random but fixed orientation. The static properties of this system are those of an ideal gas, and its collision frequency can be computed analytically. For number densities ...
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PNAS, Vol. 102, No. 19. (10 May 2005), pp. 6686-6691.
Abstract
Supercooled liquids near the glass transition exhibit the phenomenon of heterogeneous relaxation; at any specific time, a nominally homogeneous equilibrium fluid undergoes dynamic fluctuations in its structure on a molecular distance scale with rates that are very different in different regions of the sample. Several theoretical and simulation studies have suggested a change in the nature of the dynamics of fluids as they are supercooled, leading to the concept of a dynamic crossover that is often associated with mode coupling theory. ...
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Proceedings of the National Academy of Sciences, Vol. 100, No. 17. (19 August 2003), pp. 9710-9714.
Abstract
We introduce a coarse-grained model for atomic glass formers. Its elements are physically motivated local microscopic dynamical rules parameterized by observables. Results of the model are established and used to interpret the measured behaviors of supercooled fluids approaching glass transitions. The model predicts the presence of a crossover from hierarchical super-Arrhenius dynamics at short length scales to diffusive Arrhenius dynamics at large length scales. This prediction distinguishes our model from other theories of glass formers and can be tested by ...
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The Journal of Chemical Physics, Vol. 31, No. 5. (1959), pp. 1164-1169.
Abstract
We have derived, by using simple considerations, a relation between the diffusion constant D in a liquid of hard spheres and the “free volume” vf. This derivation is based on the concept that statistical redistribution of the free volume occasionally opens up voids large enough for diffusive displacement. The relation is D=Aexp[−v*/vf], where v* is the minimum required volume of the void and A and are constants. This equation is of the same form as Doolittle's [J. Appl. Phys. 22, ...
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Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 78, No. 1. (2008), 011505.
Abstract
We conduct a numerical study of the dynamical behavior of a system of three-dimensional “crosses,” particles that consist of three mutually perpendicular line segments of length rigidly joined at their midpoints. In an earlier study [W. van Ketel et al., Phys. Rev. Lett. 94, 135703 (2005)] we showed that this model has the structural properties of an ideal gas, yet the dynamical properties of a strong glass former. In the present paper we report an extensive study of the dynamical ...
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Physical Review E, Vol. 58, No. 3. (1998), 3384.
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Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 76, No. 3. (2007)
Abstract
Kinetically constrained spin models are known to exhibit dynamical behavior mimicking that of glass forming systems. They are often understood as coarse-grained models of glass formers, in terms of some “mobility” field. The identity of this “mobility” field has remained elusive due to the lack of coarse-graining procedures to obtain these models from a more microscopic point of view. Here we exhibit a scheme to map the dynamics of a two-dimensional soft disk glass former onto a kinetically constrained spin model, ...
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J. Chem. Phys., Vol. 128 (2008), 164517.
Abstract
The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed large-scale computer simulations, demonstrating that universality holds at long times in the immediate vicinity of the transition. The scaling function describing the crossover from anomalous transport to diffusive motion is found to vary extremely slowly and spans at least five decades in time. To extract the scaling ...
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The Journal of Chemical Physics, Vol. 128, No. 19. (2008)
Abstract
View this record in Web of Science ...
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Journal of Physics: Condensed Matter, Vol. 20, No. 24. (2008), 244125.
Abstract
Relaxation in glass-forming substances is necessarily a many-body problem because of intermolecular interactions and constraints. Results from molecular dynamics simulations and experiments are used to reveal the critical elements and general effects originating from many-body relaxation, but not dealt with in conventional theories of the glass transition. Although many-body relaxation is still an unsolved problem in statistical mechanics, these critical elements and general effects will serve as guides to the construction of a satisfactory theory of the glass transition. This effort is ...
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Journal of Physics: Condensed Matter, Vol. 20, No. 24. (2008), 244127.
Abstract
The dynamics of a binary mixture of large and small discs is studied at temperatures approaching the glass transition using an analysis based on the topology of the Voronoi polygon surrounding each atom. At higher temperatures we find that the dynamics is dominated by fluid-like motion that involves particles entering and exiting the nearest neighbour shells of nearby particles. As the temperature is lowered, the rate of topological moves decreases and motion becomes localized to regions of mixed pentagons and heptagons. ...
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Physical Review Letters, Vol. 79, No. 15. (13 Oct 1997), pp. 2827-2830.
Abstract
We present the results of a molecular dynamics computer simulation study in which we investigate whether a supercooled Lennard-Jones liquid exhibits dynamical heterogeneities. We evaluate the non-Gaussian parameter for the self part of the van Hove correlation function and use it to identify “mobile” particles. We find that these particles form clusters whose sizes grow with decreasing temperature. We also find that the relaxation time of the mobile particles is significantly shorter than that of the average particle; and that this ...
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Physical Review Letters, Vol. 84, No. 10. (6 Mar 2000), pp. 2064-2067.
Abstract
Despite its long history; there are many fundamental issues concerning random packings of spheres that remain elusive; including a precise definition of random close packing (RCP). We argue that the current picture of RCP cannot be made mathematically precise and support this conclusion via a molecular dynamics study of hard spheres using the Lubachevsky-Stillinger compression algorithm. We suggest that this impasse can be broken by introducing the new concept of a maximally random jammed state; which can be made ...
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Science, Vol. 296, No. 5565. (5 April 2002), pp. 65-66.
Abstract
10.1126/science.1070865 ...
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Science, Vol. 296, No. 5565. (5 April 2002), pp. 104-106.
Abstract
10.1126/science.1068238 ...
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Science, Vol. 309, No. 5733. (15 July 2005), pp. 456-459.
Abstract
We analyzed the glassy-state structural relaxation of polymers near surfaces and interfaces by monitoring fluorescence in multilayer films. Relative to that of bulk, the rate of structural relaxation of poly(methyl methacrylate) is reduced by a factor of 2 at a free surface and by a factor of 15 at a silica substrate interface; the latter exhibits a nearly complete arresting of relaxation. The distribution in relaxation rates extends more than 100 nanometers into the film interior, a distance greater than that ...
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Science, Vol. 319, No. 5863. (1 February 2008), pp. 582-587.
Abstract
The vitrification of pure water is compared with that of molecular solutions rich in water, and gross differences are noted. Thermodynamic reasoning and direct observations on noncrystallizing nanoconfined water indicate that the glass transition in ambient-pressure water is qualitatively distinct from that found in the usual molecular liquids. It belongs instead to the order-disorder class of transition seen in molecular and ionic crystalline materials. The distinctive "folding funnel" energy landscape for this type of system explains the extreme weakness of the ...
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Science, Vol. 267, No. 5206. (31 March 1995), pp. 1924-1935.
Abstract
Glasses can be formed by many routes. In some cases, distinct polyamorphic forms are found. The normal mode of glass formation is cooling of a viscous liquid. Liquid behavior during cooling is classified between "strong" and "fragile," and the three canonical characteristics of relaxing liquids are correlated through the fragility. Strong liquids become fragile liquids on compression. In some cases, such conversions occur during cooling by a weak first-order transition. This behavior can be related to the polymorphism in a glass ...
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Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 76, No. 3. (2007)
Abstract
We study the effect of physical aging on the mechanical properties of a model polymer glass using molecular dynamics simulations. The creep compliance is determined simultaneously with the structural relaxation under a constant uniaxial load below yield at constant temperature. The model successfully captures universal features found experimentally in polymer glasses, including signatures of mechanical rejuvenation. We analyze microscopic relaxation time scales and show that they exhibit the same aging characteristics as the macroscopic creep compliance. In addition, our model indicates ...
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