Scaling law for crystal nucleation time in glasses

Abstract

Due to high viscosity, glassy systems evolve slowly to the ordered state. Results of molecular dynamics simulation reveal that the structural ordering in glasses becomes observable over "experimental" (finite) time-scale for the range of phase diagram with high values of pressure. We show that the structural ordering in glasses at such conditions is initiated through the nucleation mechanism, and the mechanism spreads to the states at extremely deep levels of supercooling. We find that the scaled values of the nucleation time, ${\tau }_1$ (average waiting time of the first nucleus with the critical size), in glassy systems as a function of the reduced temperature, $\tilde{T}$, are collapsed onto a single line reproducible by the power-law dependence. This scaling is supported by the simulation results for the model glassy systems for a wide range of temperatures as well as by the experimental data for the stoichiometric glasses at the temperatures near the glass transition.

arXiv comment25 pages, 7 figures, 1 table in J. Chem. Phys. (2015)

References in corpus (22)

• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
• Large Scale Molecular Dynamics Simulations of Homogeneous Nucleation
• Decoupling of diffusion from structural relaxation and spatial heterogeneity in a supercooled simple liquid
• Crystallization Mechanism of Hard Sphere Glasses
• Crystallization of the Kob-Andersen binary Lennard-Jones liquid
• Stability of supercooled binary liquid mixtures
• Superfragile glassy dynamics of onecomponent system with isotropic potential: competition of diffusion and frustration
• Shear induced crystallization of an amorphous system
• Extension of Classical Nucleation Theory for Uniformly Sheared Systems
• Shear Induced Structural Ordering of a Model Metallic Glass
• Free energy of cluster formation and a new scaling relation for the nucleation rate
• Crystal Nucleation in a Supercooled Liquid with Glassy Dynamics
• Steady-State Homogeneous Nucleation and Growth of Water Droplets: Extended Numerical Treatment
• Crystal nucleation and cluster-growth kinetics in a model glass under shear
• Short-Range Structural Transformations in Water at High Pressures
• Glassy dynamics, metastability limit and crystal growth in a lattice spin model
• Viscoelasticity and metastability limit in supercooled liquids
• Vibrational Features of Water at the Low-Density/High-Density Liquid Structural Transformations
• A Method for Analyzing the Non-Stationary Nucleation and Overall Transition Kinetics. A Case of Water
• Crystallization of amorphous silicon induced by mechanical shear deformations
• Amorphous silicon under mechanical shear deformations: shear velocity and temperature effects

Cited by in corpus (10)

• A novel view on classification of glass-forming liquids and empirical viscosity model
• Kinetics of the Crystalline Nuclei Growth in Glassy Systems
• Change in the Crystallization Features of Supercooled Liquid Metal with an Increase in the Supercooling Level
• Structure and Morphology of Crystalline Nuclei arising in a Crystallizing Liquid Metallic Film
• Arrhenius Crossover Temperature of Glass-Forming Liquids Predicted by an Artificial Neural Network
• Scaling Relations for Temperature Dependences of the Surface Self-Diffusion Coefficient in Crystallized Molecular Glasses
• Morphology of Critically-Sized Crystalline Nuclei at Shear-Induced Crystal Nucleation in Amorphous Solid
• Unified scaling model for viscosity of crude oil over extended temperature range
• Unified scaling law for rate factor of crystallization kinetics
• Kinetics of inherent processes counteracting crystallization in supercooled monatomic liquid