The distinguishable-particle lattice model of glasses in three dimensions
arXiv:2305.08154 · doi:10.1039/D3SM01343J
Abstract
The nature of glassy states in realistic finite dimensions is still under fierce debate. Lattice models can offer valuable insights and facilitate deeper theoretical understanding. Recently, a disordered-interacting lattice model with distinguishable particles in two dimensions (2D) has been shown to produce a wide range of dynamical properties of structural glasses, including the slow and heterogeneous characteristics of the glassy dynamics, various fragility behaviors of glasses, and so on. These findings support the usefulness of this model for modeling structural glasses. An important question is whether such properties still hold in the more realistic three dimensions. In this study, we aim to extend the distinguishable-particle lattice model (DPLM) to three dimensions (3D) and explore the corresponding glassy dynamics. Through extensive kinetic Monte Carlo simulations, we found that the 3D DPLM exhibits many typical glassy behaviors, such as plateaus in the mean square displacement of particles and the self-intermediate scattering function, dynamic heterogeneity, variability of glass fragilities, and so on, validating the effectiveness of the DPLM in a broader realistic setting. The observed glassy behaviors of the 3D DPLM appear similar to those of its 2D counterpart, in accordance with recent findings in molecular models of glasses. We further investigate the role of void-induced motions in dynamical relaxations and discuss their relation to dynamic facilitation. As lattice models tend to keep the minimal but important modeling elements, they are typically much more amenable to analysis. Therefore, we envisage that the DPLM will benefit future theoretical developments, such as the configuration tree theory, towards a more comprehensive understanding of structural glasses.
References in corpus (32)
- Theoretical perspective on the glass transition and amorphous materials
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- Glassy dynamics of kinetically constrained models
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Higher order glass-transition singularities in colloidal systems with attractive interactions
- Fragile-to-strong transition and polyamorphism in the energy landscape of liquid silica
- Lattice Glass Models
- Fundamental differences between glassy dynamics in two and three dimensions
- Long Wavelength Fluctuations and the Glass Transition in 2D and 3D
- Glassy dynamics and aging in an exactly solvable spin model
- Identifying time scales for violation/preservation of Stokes-Einstein relation in supercooled water
- Zero-temperature glass transition in two dimensions
- Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation
- Understanding, predicting, and tuning the fragility of vitrimeric polymers
- Slow relaxations and stringlike jump motions in fragile glass-forming liquids: Breakdown of the Stokes-Einstein relation
- Phase transition for quenched coupled replicas in a plaquette spin model of glasses
- Spatial heterogeneities in structural temperature cause Kovacs expansion gap paradox in aging of glasses
- A Lattice Model for Colloidal Gels and Glasses
- Direct evidence of void induced structural relaxations in colloidal glass formers
- Viscoelastic shear stress relaxation in two-dimensional glass forming liquids
- Emergent facilitation behavior in a distinguishable-particle lattice model of glass
- Fragile Glasses Associated with a Dramatic Drop of Entropy under Supercooling
- Local Density Fluctuation Governs the Divergence of Viscosity underlying Elastic and Hydrodynamic Anomalies in a 2D Glass-Forming Liquid
- Local random configuration-tree theory for string repetition and facilitated dynamics of glass
- Configuration-tree Theoretical Calculation of the Mean-Squared Displacement of Particles in Glass Formers
- Diffusion coefficient power laws and defect-driven glassy dynamics in swap acceleration
- Emergence of two-level systems in glass formers: a kinetic Monte Carlo study
- Large heat-capacity jump in cooling-heating of fragile glass from kinetic Monte Carlo simulations based on a two-state picture
- Kauzmann Paradox: a crossover due to diminishing local excitations
- Lattice glass model in three spatial dimensions
- Emergent Facilitation and Glassy Dynamics in Supercooled Liquids
- Towards Relating Fragile-To-Strong Transition to Fragile Glass