The Random First‐Order Transition Theory of Glasses: A Critical Assessment

Biroli, Giulio; Bouchaud, Jean‐Philippe

doi:10.1002/9781118202470.ch2

Cited by 109 publications

(190 citation statements)

References 248 publications

(389 reference statements)

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“…Such a roughening of the energy landscape is predicted by mean-field models of liquids and spins [131][132][133][134] at the so-called mode-coupling temperature T MCT . However these theoretical approaches lead to a (non-observed) power-law divergence of the viscosity at T MCT , and their interpretation in real space is unclear and actively studied [135,136].…”

Section: Glass Transition and Soft Modes In Hard Sphere Liquidsmentioning

confidence: 99%

The jamming scenario—an introduction and outlook

Liu

Nagel

Saarloos

et al. 2011

Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

119

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Abstract. The jamming scenario of disordered media, formulated about 10 years ago, has in recent years been advanced by analyzing model systems of granular media. This has led to various new concepts that are increasingly being explored in in a variety of systems. This chapter contains an introductory review of these recent developments and provides an outlook on their applicability to different physical systems and on future directions. The first part of the paper is devoted to an overview of the findings for model systems of frictionless spheres, focussing on the excess of low-frequency modes as the jamming point is approached. Particular attention is paid to a discussion of the cross-over frequency and length scales that govern this approach. We then discuss the effects of particle asphericity and static friction, the applicability to bubble models for wet foams in which the friction is dynamic, the dynamical arrest in colloids, and the implications for molecular glasses.

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Section: Glass Transition and Soft Modes In Hard Sphere Liquidsmentioning

confidence: 99%

The jamming scenario—an introduction and outlook

Liu

Nagel

Saarloos

et al. 2011

Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

119

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“…Further more τ α and S c are related via the empirical Adam-Gibbs relation [20] or may be via more sophisticated RFOT Theory [21][22][23]. So our length scale directly relates dynamics with thermodynamics in glass forming liquids via the Adam-Gibbs relation.…”

Section: Introductionmentioning

confidence: 99%

Finite-size scaling for the glass transition: The role of a static length scale

Karmakar

Procaccia

2012

Phys. Rev. E

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Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the viscosity of a super-cooled liquid increases by many orders of magnitude upon decreasing the temperature over a modest range. A natural concern in these computer simulation is the very small size of the simulated systems compared to experimental ones, raising the issue of how to assess the thermodynamic limit. Here we offer a theory for the glass transition based on finite size scaling, a method that was found very useful in the context of critical phenomena and other interesting problems. As is known, the construction of such a theory rests crucially on the existence of a growing static length scale upon decreasing the temperature. We demonstrate that the static length scale that was discovered in Ref.[3] fits the bill extremely well, allowing us to provide a finite size scaling theory for the α relaxation time of the glass transition, including predictions for the thermodynamic limit based on simulations in small systems.

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“…This suggests that these kind of glass formers may be interesting systems to study details of the dynamics beyond MCT, specially the nature of the elusive "activated events". Also much discussed today is the old question about thermodynamic signatures of the glass transition, like growing static correlations [5,9]. While it is clear that there are no "simple" structures associated with the dynamical arrest near T g , the role played by orientational order and correlations has been much less studied in this context [10,23].…”

Section: Discussionmentioning

confidence: 99%

“…Among the dynamical approaches, one of the most accepted theories to describe the transition is the Mode-Coupling theory (MCT). Although this is an approximate theory, MCT accounts well for some aspects of the initial slowing down of the dynamics, in particular the appearance of a two step relaxation of correlations with a non trivial short time β regime and a structural, long time α regime [7][8][9] . It predicts a critical-like divergence of relaxation times at a characteristic temperture T c .…”

Section: Introductionmentioning

confidence: 99%

Structural signatures of (two) characteristic dynamical temperatures in lithium metasilicate

Balbuena¹,

Brito²,

Stariolo³

2014

J. Phys.: Condens. Matter

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We report on the dynamic and structural characterization of lithium metasilicate Li2SiO3, a network forming ionic glass, by means of molecular dynamics simulations. The system is characterized by a network of SiO4 tetrahedra disrupted by Li ions which diffuse through the network. Measures of mean square displacement of Si and O atoms allow us to identify a temperature at which tetrahedra stop moving relative to each other. This temperature Tc ≈ 1500 K can be characterized within the framework of mode coupling theory. At a much lower temperature Tg ≈ 1000 K, a change in the slope of the volume versus temperature data allows to single out the glass transition. We find signatures of both transitions in structural order parameters, related to the orientation of tetrahedra. Going down in temperature we find that, around the mode coupling transition temperature, a set of order parameters which measure the relative orientation of tetrahedra cease to increase and stay constant below Tc. Another well known measure of orientational order, the bond orientational order parameter, which in the studied system measures local order within single tetrahedrons, is found to continue growing below Tc until Tg, below which it remains constant. Our results allow to relate two characteristic dynamic transitions with corresponding structural transitions, as observed in two different orientational order parameters. Furthermore, the results indicate that the network of thetrahedra continue to relax well below the point where neighboring tetrahedra cannot rearrange relative to each other, and the glass is reached only upon a process of relaxation of atoms which form the thetrahedron, as quantified by the change in the bond orientational order parameters.

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The Random First‐Order Transition Theory of Glasses: A Critical Assessment

Cited by 109 publications

References 248 publications

The jamming scenario—an introduction and outlook

The jamming scenario—an introduction and outlook

Finite-size scaling for the glass transition: The role of a static length scale

Structural signatures of (two) characteristic dynamical temperatures in lithium metasilicate

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