Ideal glass-glass transitions and logarithmic decay of correlations in a simple system

Fabbian, Linda; Götze, W.; Sciortino, Francesco; Tartaglia, P.; Thiery, F.

doi:10.1103/physreve.59.r1347

Cited by 240 publications

(271 citation statements)

References 30 publications

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“…The spectacular dynamics close to the MCT endpoint singularity has been the focus of a recent study [40]. However, the glass transitions that occur at low temperatures in the AHS system are accompanied by numerical difficulties, resulting from the singular nature of the AHS pair interaction potential.…”

Section: Discussionmentioning

confidence: 99%

“…When the range of the attraction is further restricted the glass transition line passes above the critical point, likely rendering part of the (metastable) equilibrium phase diagram irrelevant. Preliminary solutions of the dynamical MCT equations for the b = 30 HCAY system indicate that nearby A l singularities with l > 2 appreciably distort the time dependent structural correlators in the intermediate time windows, even though no A 3 singularity [27,29,40,61] could be found in the phase diagram.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, along the B2 line bordering the fluid phase, f q for each q jumps discontinuously between 0 and finite values, and between smaller and larger finite values when the B2 line is traversed in the glass. The appearance of the B2 line is a result of an endpoint (cusp, A3) singularity [27,40,60,61] in the AHS phase diagram, where three solutions of Eq. 1 for f q coalesce.…”

Section: Adhesive Hard Sphere Systemmentioning

confidence: 99%

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Nonergodicity transitions in colloidal suspensions with attractive interactions

1999

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The colloidal gel and glass transitions are investigated using the idealized mode coupling theory (MCT) for model systems characterized by short-range attractive interactions. Results are presented for the adhesive hard sphere and hard core attractive Yukawa systems. According to MCT, the former system shows a critical glass transition concentration that increases significantly with introduction of a weak attraction. For the latter attractive Yukawa system, MCT predicts low temperature nonergodic states that extend to the critical and subcritical region. Several features of the MCT nonergodicity transition in this system agree qualitatively with experimental observations on the colloidal gel transition, suggesting that the gel transition is caused by a low temperature extension of the glass transition. The range of the attraction is shown to govern the way the glass transition line traverses the phase diagram relative to the critical point, analogous to findings for the fluid-solid freezing transition.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Adhesive Hard Sphere Systemmentioning

confidence: 99%

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Nonergodicity transitions in colloidal suspensions with attractive interactions

1999

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“…In addition to liquid-glass transitions, for certain interactions MCT also predicts glass-glass transitions: In this case an existing first glass state with f 1 q transforms into a second distinct glass state with f 2 q > f 1 q discontinuously. Such glass-glass transitions were predicted for the square-well system (SWS) where the hard-core repulsion is supplemented by a short-ranged attraction [4,5,6]. In the SWS, the first glass state is driven by repulsion like in the HSS and the second glass state is driven by attraction.…”

mentioning

confidence: 99%

Disconnected Glass-Glass Transitions and Diffusion Anomalies in a Model with Two Repulsive Length Scales

Sperl

Zaccarelli²,

Sciortino³

et al. 2010

Phys. Rev. Lett.

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Building on mode-coupling-theory calculations, we report a novel scenario for multiple glass transitions in a purely repulsive spherical potential: the square-shoulder. The liquid-glass transition lines exhibit both melting by cooling and melting by compression as well as associated diffusion anomalies, similar to the ones observed in water. Differently from all previously investigated models, here for small shoulder widths a glass-glass line is found that is disconnected from the liquid phase. Upon increasing the shoulder width such a glass-glass line merges with the liquid-glass transition lines, featuring two distinct endpoint singularities that give rise to logarithmic decays in the dynamics. These findings can be explained analytically by the interplay of different repulsive length scales. 66.30.jj, 64.70.ph, 64.70.pe In the field of glassy slow dynamics, many experiments and simulations have been inspired in recent years by the modecoupling theory of the glass transition (MCT) [1]. The theory deals with density autocorrelation functions φ q (t) with wave vectors q, and predicts their long-time limits f q . While in the liquid state f q = 0, the glass state is defined by f q > 0. MCT was first applied to the hard-sphere system (HSS) where a liquid-glass transition was identified [2], and confirmed by experiments [3]. In addition to liquid-glass transitions, for certain interactions MCT also predicts glass-glass transitions: In this case an existing first glass state with f 1 q transforms into a second distinct glass state with f 2 q > f 1 q discontinuously. Such glass-glass transitions were predicted for the square-well system (SWS) where the hard-core repulsion is supplemented by a short-ranged attraction [4,5,6]. In the SWS, the first glass state is driven by repulsion like in the HSS and the second glass state is driven by attraction. The competition between these two mechanisms is responsible for the emergence of glass-glass transitions. Such a line of glass-glass transitions extends smoothly a line of liquid-glass transitions into the glass state and terminates in an endpoint singularity. Close to the endpoint singularity the dynamics is ruled by logarithmic relaxation [7]. The predicted logarithmic decays were identified in computer simulations and establish the relevance of endpoint singularities for the description of glassy dynamics [8,9]. A second dynamical anomaly predicted for the SWS concerns a reentrant liquid-glass line that causes melting by cooling [4,5,6]. This prediction of MCT was confirmed by computer simulation [10] and by experiments in colloidal suspensions [11,12].In this work we replace the attractive length scale in the SWS by a second repulsive length scale δ of the squareshoulder system (SSS) as shown in Fig. 1. The SSS can be considered the simplest potential with two competing interparticle distances; it is applied to describe properties of metallic glasses like cerium or cesium [13] In the following, the glass-transition diagrams are calculated from the singularities of ...

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“…The connection between repulsion and attraction driven glass transitions at high densities has been understood within a microscopic theoretical framework, namely mode coupling theory (MCT) [11,12,13,14,15]. Yet, the mechanisms of solidification at intermediate attraction strengths and low to intermediate densities are still not completely understood [16,17].…”

Section: Introductionmentioning

confidence: 99%

Bond formation and slow heterogeneous dynamics in adhesive spheres with long-ranged repulsion: Quantitative test of mode coupling theory

et al. 2007

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A colloidal system of spheres interacting with both a deep and narrow attractive potential and a shallow long-ranged barrier exhibits a prepeak in the static structure factor. This peak can be related to an additional mesoscopic length scale of clusters and/or voids in the system. Simulation studies of this system have revealed that it vitrifies upon increasing the attraction into a gel-like solid at intermediate densities. The dynamics at the mesoscopic length scale corresponding to the prepeak represents the slowest mode in the system. Using mode coupling theory with all input directly taken from simulations, we reveal the mechanism for glassy arrest in the system at 40% packing fraction. The effects of the low-q peak and of polydispersity are considered in detail. We demonstrate that the local formation of physical bonds is the process whose slowing down causes arrest. It remains largely unaffected by the large-scale heterogeneities, and sets the clock for the slow cluster mode. Results from mode-coupling theory without adjustable parameters agree semi-quantitatively with the local density correlators but overestimate the lifetime of the mesoscopic structure (voids).

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Ideal glass-glass transitions and logarithmic decay of correlations in a simple system

Cited by 240 publications

References 30 publications

Nonergodicity transitions in colloidal suspensions with attractive interactions

Nonergodicity transitions in colloidal suspensions with attractive interactions

Disconnected Glass-Glass Transitions and Diffusion Anomalies in a Model with Two Repulsive Length Scales

Bond formation and slow heterogeneous dynamics in adhesive spheres with long-ranged repulsion: Quantitative test of mode coupling theory

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