Absence of Marginal Stability in a Structural Glass
arXiv:1706.04112 · doi:10.1103/PhysRevLett.119.205501
Abstract
Marginally stable solids have peculiar physical properties that were discovered and analyzed in the context of the jamming transition. We theoretically investigate the existence of marginal stability in a prototypical model for structural glass-formers, combining analytical calculations in infinite dimensions to computer simulations in three dimensions. While mean-field theory predicts the existence of a Gardner phase transition towards a marginally stable glass phase at low temperatures, simulations show no hint of diverging timescales or lengthscales, but reveal instead the presence of sparse localized defects. Our results suggest that the Gardner transition is deeply affected by finite dimensional fluctuations, and raise issues about the relevance of marginal stability in structural glasses far away from jamming.
5 pages, 3 figures
References in corpus (14)
- Theoretical perspective on the glass transition and amorphous materials
- Supercooled Liquids for Pedestrians
- Identifying structural flow defects in disordered solids using machine learning methods
- Marginal Stability in Structural, Spin and Electron Glasses
- Excess Vibrational Modes and the Boson Peak in Model Glasses
- Following the evolution of glassy states under external perturbations: compression and shear-strain
- Heterogeneous Dynamics, Marginal Stability and Soft Modes in Hard Sphere Glasses
- The role of attractive forces in viscous liquids
- Mean-field avalanches in jammed spheres
- Spin glasses in a field: Three and four dimensions as seen from one space dimension
- The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
- Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions
- The Gardner transition in finite dimensions
- Plastic response and correlations in athermally sheared amorphous solids