Experimental Evidence of the Gardner Phase in a Granular Glass

Seguin, Antoine; Dauchot, Olivier

doi:10.1103/physrevlett.117.228001

Cited by 83 publications

(86 citation statements)

References 50 publications

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“…Furthermore, the theory has been extended to hard sphere with a short range attraction [33], to investigate a peculiar two-step yielding transition that characterizes colloidal systems [34]. These predictions, obtained in the mean-field d → ∞ limit, have been partially confirmed by extensive numerical simulations in d = 3 [35][36][37][38][39] and experiments on a granular material in d = 2 [40].…”

Section: Introductionmentioning

confidence: 85%

Mean-field stability map of hard-sphere glasses

Altieri

Zamponi

2019

Phys. Rev. E

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The response of amorphous solids to an applied shear deformation is an important problem, both in fundamental and applied research. To tackle this problem, we focus on a system of hard spheres in infinite dimensions as a solvable model for colloidal systems and granular matter. The system is prepared above the dynamical glass transition density, and we discuss the phase diagram of the resulting glass under compression, decompression, and shear strain, expanding on previous results [P.Urbani and F.Zamponi, Phys.Rev.Lett. 118, 038001 (2017)]. We show that the solid region is bounded by a "shear jamming" line, at which the solid reaches close packing, and a "shear yielding" line, at which the solid undergoes a spinodal instability towards a liquid, flowing phase. Furthermore, we characterize the evolution of these lines upon varying the glass preparation density. This work aims to provide a general overview on yielding and jamming phenomena in hard sphere systems by a systematic exploration of the phase diagram.

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Section: Introductionmentioning

confidence: 85%

Mean-field stability map of hard-sphere glasses

Altieri

Zamponi

2019

Phys. Rev. E

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“…Because numerical simulations of hard sphere (colloidal) glasses are instead consistent with the existence of a transition [32], it becomes very important to understand which systems display such a transition and which do not, and why. This is a very important direction for future work, both analytical [49][50][51][52][53], numerical [31-33, 42, 54] and experimental [39,55].…”

Section: Discussionmentioning

confidence: 99%

“…The convergence of these two quantities in the long time limit means that a single trajectory of the system samples, at long times, the same states that are sampled by two independently prepared clones. This indicates that the glass basin is comprised of well-defined internal cages which are ergodically sampled, and that vibrations of particles remain weaky correlated [32,33,39].…”

Section: A Clones Are Prepared In An Ergodic Statementioning

confidence: 99%

Low-temperature anomalies of a vapor deposited glass

Seoane

Reid

Pablo

et al. 2018

Phys. Rev. Materials

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We investigate the low temperature properties of two-dimensional Lennard-Jones glass films, prepared in silico both by liquid cooling and by physical vapor deposition. We identify deep in the solid phase a crossover temperature T * , at which slow dynamics and enhanced heterogeneity emerge. Around T * , localized defects become visible, leading to vibrational anomalies as compared to standard solids. We find that on average, T * decreases in samples with lower inherent structure energy, suggesting that such anomalies will be suppressed in ultra-stable glass films, prepared both by very slow liquid cooling and vapor deposition.Low-temperature crystalline solids are usually described in terms of harmonic vibrations around a perfect periodic lattice (phonons). Within this framework, defects such as vacancies and dislocations can be treated as small perturbations. This description breaks down for amorphous solids such as glasses, foams, emulsions, plastics, colloids, granular materials, bacterial colonies, and tissues [1][2][3][4][5][6][7]. In these systems, the identification of "defects" becomes challenging because the solid ground state is strongly disordered. As a consequence, amorphous solids display many universal anomalies with respect to crystals. Examples are the so-called Boson Peak, an excess of low-energy vibrational modes [8]; the anomalous scaling of heat capacity and thermal conductivity with temperature [9,10]; the irreversible plastic response to arbitrarily small perturbations [1,3,4,11]; and highly cooperative relaxation dynamics, contributing to the socalled β-processes [12][13][14].These anomalies have been widely reported in amorphous solids of very different nature. Interestingly, recent experimental work has shown that by preparing glasses through a process of physical vapor deposition, one can produce ultra-stable states that lie deep in the free energy landscape [15]. Compared to their liquid-cooled counterparts, vapor-deposited glasses show higher density [16] and kinetic stability [15,17]. When these ultra-stable glasses are studied at very low temperatures, it is found that the anomalies characteristic of amorphous solids are strongly supressed [18][19][20][21][22].Many theoretical approaches to this problem are based on the study of the potential energy landscape of glassforming particle systems [13,[23][24][25][26][27][28]. These studies have suggested that glass anomalies can be interpreted in terms of glass states being not well-defined energy minima, but structured metabasins containing a collection of sub-basins separated by barriers of variable size [29,30], see Fig. 1. In particular, recent work [31][32][33] has identified a set of simple observables (the mean square displacement between identical "clones" of the original system) that allows one to detect easily the development of a structure of sub-basins inside a glass metabasin.In this work, using the methods of [31-33], we explore in silico the potential energy landscape of binary Lennard-Jones glass films prepared through tw...

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“…Yet, establishing whether the crossover is a true thermodynamic transition and measuring its critical properties requires a systematic study of larger systems and longer timescales. There is therefore ample room to explore the physics of the Gardner transition both numerically and experimentally (85). Fuller field-theoretical and renormalization group descriptions might also help grasp the impact of finite-d fluctuations on the transition (86).…”

Section: Gardner Transition and Marginal Glass In Finite Dimensionsmentioning

confidence: 99%

Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

Charbonneau

Kurchan

Parisi

et al. 2017

Annu. Rev. Condens. Matter Phys.

290

421

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Despite decades of work, gaining a first-principle understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution of a microscopic model in the mean-field limit of infinite spatial dimension, and numerical simulations have remarkably confirmed the dimensional robustness of some of the predictions. This review describes these latest advances. More specifically, we consider the dynamical and thermodynamic descriptions of hard spheres around the dynamical, Gardner and jamming transitions. Comparing meanfield predictions with the finite-dimensional simulations, we identify robust aspects of the theory and uncover its more sensitive features. We conclude with a brief overview of ongoing research.

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Experimental Evidence of the Gardner Phase in a Granular Glass

Cited by 83 publications

References 50 publications

Mean-field stability map of hard-sphere glasses

Mean-field stability map of hard-sphere glasses

Low-temperature anomalies of a vapor deposited glass

Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

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