The Static Lengthscale Characterizing the Glass Transition at Lower Temperatures

Abstract

The existence of a static lengthscale that grows in accordance with the dramatic slowing down observed at the glass transition is a subject of intense interest. A recent publication compared two proposals for this length scale, one based on the point-to-set correlation technique and the other on the scale where the lowest eigenvalue of the Hessian matrix becomes sensitive to disorder. The conclusion was that both approaches lead to the same lengthscale, but the former is easier to measure at higher temperatures and the latter at lower temperatures. But even after using both methods together, the range of increase in the observed lengthscales was limited by the relaxation times reachable by standard molecular dynamics techniques (i.e. about 4-5 orders of magnitude). In this paper we therefore attempt to explore the typical scale at even lower temperatures, testing for this purpose two approaches, one based on the idea of vapor deposition and the other on a swap Monte Carlo technique. We conclude that the first approach does not help in getting to lower temperatures, but the second one does so quite effectively. We can reach a typical lengthscale that grows in accordance with at least $15$ orders of magnitude increase in the relaxation time, competing with the best experimental conditions. We conclude by discussing the relationship between the observed lengthscale and various models of the relaxation time.

Submitted to EPL. The original arXiv publication was split into two separate works. The discussion of Vapor Deposition was completely removed and will appear in a more detailed study in a future publication. This publication now focuses on the static lengthscale as found from swap Monte Carlo simulations. Additional tests of equilibration of the supercooled liquid are included

References in corpus (5)

• Theoretical perspective on the glass transition and amorphous materials
• Growing length and time scales in glass forming liquids
• Comparison of Static Length-Scales Characterizing the Glass Transition
• Randomness-Induced Redistribution of Vibrational Frequencies in Amorphous Solids
• Optimized Monte Carlo Method for glasses

Cited by in corpus (52)

• The role of local structure in dynamical arrest
• Models and algorithms for the next generation of glass transition studies
• Equilibrium sampling of hard spheres up to the jamming density and beyond
• Configurational entropy measurements in extremely supercooled liquids that break the glass ceiling
• Perspective: Configurational entropy of glass-forming liquids
• Does a growing static length scale control the glass transition?
• Absence of Marginal Stability in a Structural Glass
• Fast generation of ultrastable computer glasses by minimization of an augmented potential energy
• A characteristic energy scale in glasses
• Does the Adam-Gibbs relation hold in simulated supercooled liquids?
• Exploring the jamming transition over a wide range of critical densities
• Theory for Swap Acceleration near the Glass and Jamming Transitions
• Wave attenuation in glasses: Rayleigh and generalized-Rayleigh scattering scaling
• Point-to-set lengths, local structure, and glassiness
• Ultrastable metallic glasses in silico
• Mean field theory of the swap Monte Carlo algorithm
• Non-Equilibrium Phase Transition in an Atomistic Glassformer: the Connection to Thermodynamics
• Can the glass transition be explained without a growing static length scale?
• Stochastic Approach to Plasticity and Yield in Amorphous Solids
• A localization transition underlies the mode-coupling crossover of glasses
• Mechanical properties of simple computer glasses
• Dynamic and thermodynamic crossover scenarios in the Kob-Andersen mixture: Insights from multi-CPU and multi-GPU simulations
• A review on shear jamming
• Annealing glasses by cyclic shear deformation
• Creating bulk ultrastable glasses by random particle bonding
• Breakdown of Nonlinear Elasticity in Amorphous Solids at Finite Temperatures
• Random-field Ising model criticality in a glass-forming liquid
• Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions
• Relation between heterogeneous frozen regions in supercooled liquids and non-Debye spectrum in the corresponding glasses
• Pinning Susceptibility : A Novel Method to Study Growth of Amorphous Order in Glass-forming Liquids
• Microscopic observation of two-level systems in a metallic glass model
• Diffusion coefficient power laws and defect-driven glassy dynamics in swap acceleration
• On the protocol dependence of plasticity in ultra-stable amorphous solids
• Accelerated relaxation and suppressed dynamic heterogeneity in a kinetically constrained (East) model with swaps
• Statistical mechanics of local force dipole responses in computer glasses
• Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
• Dynamic heterogeneity in polydisperse systems: A comparative study of the role of local structural order parameter and particle size
• Accelerating Simulated Annealing of Glassy Materials with Data Assimilation
• Spatial structure of unstable normal modes in a glass-forming liquid
• Testing theories of the glass transition with the same liquid, but many kinetic rules
• A General Structural Order Parameter for the Amorphous Solidification of a Supercooled Liquid
• A Dramatically Growing Shear Rigidity Length Scale in a Supercooled Glass Former ($NiZ{r}_2$)
• Creating equilibrium glassy states via random particle bonding
• Shear hardening in frictionless amorphous solids near the jamming transition
• Effective structure of a system with continuous polydispersity
• Thermodynamic Equivalence of Cyclic Shear and Deep Cooling in Glass-Formers
• Revisiting the single-saddle model for the $\beta$-relaxation of supercooled liquids
• Swap Monte Carlo for diatomic molecules
• Computational Methods toward Ultrastable Glasses
• Physical swap dynamics, shortcuts to relaxation and entropy production in dissipative Rydberg gases
• Bond-space operator disentangles quasi-localized and phononic modes in structural glasses
• Analytic theory of shear localization in amorphous solids confined by Couette geometry