SciPost Physics

A localization transition underlies the mode-coupling crossover of glasses

Daniele Coslovich, Andrea Ninarello, Ludovic Berthier

SciPost Phys. 7, 077 (2019) · published 6 December 2019

• doi: 10.21468/SciPostPhys.7.6.077
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Abstract

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a localization transition in real space close to the mode-coupling crossover temperature determined from the dynamics. The concentration of localized unstable modes found at low temperature is a non-universal, finite dimensional feature not captured by mean-field glass theory. Our analysis reconciles, and considerably expands, previous conflicting numerical results and provides a characteristic temperature for glassy dynamics that unambiguously locates the mode-coupling crossover.

• Charbonneau et al., The dimensional evolution of structure and dynamics in hard sphere liquids
  156, 134502 (2022) [Crossref]
• Pacco et al., Curvature-driven pathways interpolating between stationary points: the case of the pure spherical 3-spin model
  J. Phys. A: Math. Theor. 57, 07LT01 (2024) [Crossref]
• Coslovich et al., Revisiting the single-saddle model for the β-relaxation of supercooled liquids
  156, 094503 (2022) [Crossref]
• González-López et al., An energy-landscape-based crossover temperature in glass-forming liquids
  153, 241101 (2020) [Crossref]
• Nishikawa et al., Lattice Glass Model in Three Spatial Dimensions
  Phys. Rev. Lett. 125, 065501 (2020) [Crossref]
• Stariolo et al., Barriers, trapping times, and overlaps between local minima in the dynamics of the disordered Ising p -spin model
  Phys. Rev. E 102, 022126 (2020) [Crossref]
• Baity-Jesi et al., Revisiting the concept of activation in supercooled liquids
  Eur. Phys. J. E 44, 77 (2021) [Crossref]
• Mossa et al., Heterogeneous-elasticity theory of instantaneous normal modes in liquids
  Sci Rep 13, 21442 (2023) [Crossref]
• Pandit et al., Single-particle fluctuations dominate the long-time dynamic susceptibility in glass-forming liquids
  Phys. Rev. E 105, 014605 (2022) [Crossref]
• Kaur et al., Jump-precursor state emerges below the crossover temperature in supercooled o -terphenyl
  Phys. Rev. E 103, L050601 (2021) [Crossref]
• Gradenigo et al., How non-equilibrium correlations in active matter reveal the topological crossover in glasses
  Chaos, Solitons & Fractals 153, 111500 111500 (2021) [Crossref]
• Shimada et al., Instantaneous normal modes of glass-forming liquids during the athermal relaxation process of the steepest descent algorithm
  Soft Matter 20, 1583 (2024) [Crossref]
• Barrat et al., Computer simulations of the glass transition and glassy materials
  24, 1 (2023) [Crossref]
• Sun et al., Amorphous solidification of a supercooled liquid in the limit of rapid cooling
  158, 204506 (2023) [Crossref]
• Li et al., Local Plastic Response and Slow Heterogeneous Dynamics of Supercooled Liquids
  Phys. Rev. Lett. 128, 258001 (2022) [Crossref]
• Nishikawa et al., Relaxation Dynamics in the Energy Landscape of Glass-Forming Liquids
  Phys. Rev. X 12, 021001 (2022) [Crossref]
• Bhaumik et al., The role of annealing in determining the yielding behavior of glasses under cyclic shear deformation
  Proc. Natl. Acad. Sci. U.S.A. 118, e2100227118 (2021) [Crossref]
• Scalliet et al., Thirty Milliseconds in the Life of a Supercooled Liquid
  Phys. Rev. X 12, 041028 (2022) [Crossref]
• Lerbinger et al., Relevance of Shear Transformations in the Relaxation of Supercooled Liquids
  Phys. Rev. Lett. 129, 195501 (2022) [Crossref]
• Ciarella et al., Dynamics of supercooled liquids from static averaged quantities using machine learning
  Mach. Learn.: Sci. Technol. 4, 025010 (2023) [Crossref]
• Schirmacher et al., Modeling the instantaneous normal mode spectra of liquids as that of unstable elastic media
  Proc. Natl. Acad. Sci. U.S.A. 119, e2119288119 (2022) [Crossref]
• Shimada et al., Spatial structure of unstable normal modes in a glass-forming liquid
  SciPost Phys. 10, 001 (2021) [Crossref]
• Das et al., Crossover in dynamics in the Kob-Andersen binary mixture glass-forming liquid
  Journal of Non-Crystalline Solids: X 14, 100098 100098 (2022) [Crossref]
• Buchenau et al., Sound Absorption in Glasses
  SSRN Journal, (2022) [Crossref]
• Pihlajamaa et al., Unveiling the anatomy of mode-coupling theory
  SciPost Phys. 15, 217 (2023) [Crossref]
• Yeh et al., Glass Stability Changes the Nature of Yielding under Oscillatory Shear
  Phys. Rev. Lett. 124, 225502 (2020) [Crossref]
• Berthier et al., Finite Dimensional Vestige of Spinodal Criticality above the Dynamical Glass Transition
  Phys. Rev. Lett. 125, 108001 (2020) [Crossref]
• Buchenau et al., Sound absorption in glasses
  Reviews in Physics 9, 100078 100078 (2022) [Crossref]
• Biroli et al., The RFOT Theory of Glasses: Recent Progress and Open Issues
  24, 1 (2023) [Crossref]