Energy Landscape of a Lennard-Jones Liquid: Statistics of Stationary Points

Broderix, Kurt; Bhattacharya, Kamal K.; Cavagna, Andrea; Zippelius, Annette; Giardina, Irene

doi:10.1103/physrevlett.85.5360

Cited by 189 publications

(308 citation statements)

References 22 publications

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“…Empirically, a direct validation of Goldstein scenario in liquids is difficult. Several numerical analysis [137][138][139] have claimed to observe a transition in the energy landscape at T MCT , but in our opinion the interpretation of these results is disputable 1 . Another intriguing .…”

Section: Glass Transition and Soft Modes In Hard Sphere Liquidsmentioning

confidence: 56%

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: 56%

The jamming scenario—an introduction and outlook

Liu

Nagel

Saarloos

et al. 2011

Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

119

View full text Add to dashboard Cite

show abstract

“…Despite claims based on numerical results that T c marks a real change in the topology of the landscape [33,34,35], there are strong indications that this is at best only a crossover [36,37], and at worst a biased interpretation of numerical data [38]. For instance, careful numerical studies have shown that the saddle index n s (T ) remains positive even below T c [36].…”

Section: B and Its Problems And Contradictionsmentioning

confidence: 99%

“…The quantities n s and e s were estimated numerically in simulations of supercooled liquids [33,34]. It was found that both functions decrease when T decreases, and extrapolations were performed that indicated n s (T c ) = 0.…”

Section: B Absence Of "Geometric Transition"mentioning

confidence: 99%

“…It was found that both functions decrease when T decreases, and extrapolations were performed that indicated n s (T c ) = 0. Also, plotting the dependence of n s on e s − e IS parameterized by the temperature, a simple linear relation was obtained, n s ∝ (e s − e IS ) [33,34,35].…”

Section: B Absence Of "Geometric Transition"mentioning

confidence: 99%

“…[30], in analogy with what happens in mean field models [31,32]: the vanishing as T approaches T c of the mean intensive number of negative directions (intensive index) of stationary points of the potential energy, n s (T ). Numerical simulations [33,34,35,36,37,38] found that n s (T ) decreases with decreasing T , and fits were performed to show that n s (T c ) = 0 [33,34,35]. The physical interpretation of this result is the apparent existence at T c of a "geometric transition" between a "saddle dominated regime" above T c and a "minima dominated regime" below T c [39].…”

Section: Introductionmentioning

confidence: 99%

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We show that the various crossovers between dynamical regimes observed in experiments and simulations of supercooled liquids can be explained in simple terms from the existence and statistical properties of dynamical heterogeneities. We confirm that dynamic heterogeneity is responsible for the slowing down of glass formers at temperatures well above the dynamic singularity Tc predicted by mode coupling theory. Our results imply that activated processes govern the long-time dynamics even in the temperature regime where they are neglected by mode-coupling theory. We show that alternative interpretations based on topographic properties of the potential energy landscape are complicated and inefficient ways of describing simple physical features which are naturally accounted for within our approach. We show in particular that the reported links between mode coupling and landscape singularities do not exist.

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2012

Structural Glasses and Supercooled Liquids

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The aim of this chapter is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We review the pros and cons that support or undermine the theory, and the directions, both theoretical and experimental, where progress is needed to ascertain the status of RFOT. We elaborate in particular on the notions of mosaic state and point-to-set correlations, and insist on the importance of fluctuations in finite dimensions, that significantly blur the expected cross-over between a Mode-Coupling like regime and the mosaic, activated regime. We discuss in detail the fundamental predictions of RFOT, in particular the possibility to force a small enough system into an ideal glass state, and present several new ones, concerning aging properties or non-linear rheology. Finally, we compare RFOT to other recent theories, including elastic models, Frustration Limited Domains or Kinetically Constrained models.Details that could throw doubt on your interpretation must be given, if you know them. You must do the best you can -if you know anything at all wrong, or possibly wrong -to explain it. If you make a theory, for example, and advertise it, or put it out, then you must also put down all the facts that disagree with it, as well as those that agree with it.

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Energy Landscape of a Lennard-Jones Liquid: Statistics of Stationary Points

Cited by 189 publications

References 22 publications

The jamming scenario—an introduction and outlook

The jamming scenario—an introduction and outlook

Real space origin of temperature crossovers in supercooled liquids

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

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