Lattice glass model in three spatial dimensions

Abstract

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical dynamics observed in fragile supercooled liquids such as two-step relaxation, super-Arrhenius growth in the relaxation time, and dynamical heterogeneity. Using advanced Monte Carlo methods, we compute the thermodynamic properties deep inside the glassy temperature regime, well below the onset temperature of the slow dynamics. The specific heat has a finite jump towards the thermodynamic limit with critical exponents close to those expected from the hyperscaling and the random first-order transition theory for the glass transition. We also study an effective free energy of glasses, the Franz--Parisi potential, as a function of the overlap between equilibrium and quenched configurations. The effective free energy indicates the existence of a first-order phase transition, consistent with the random first-order transition theory. These findings strongly suggest that the glassy dynamics of the model has its origin in thermodynamics.

9 pages, 10 figures, including supplemental information

References in corpus (6)

• Theoretical perspective on the glass transition and amorphous materials
• Growing length and time scales in glass forming liquids
• Finite size effects in the dynamics of glass-forming liquids
• Evidence for a disordered critical point in a glass-forming liquid
• The mean field infinite range p=3 spin glass: equilibrium landscape and correlation time scales
• Evidence of one-step replica symmetry breaking in a three-dimensional Potts glass model

Cited by in corpus (5)

• Modern computational studies of the glass transition
• Large heat-capacity jump in cooling-heating of fragile glass from kinetic Monte Carlo simulations based on a two-state picture
• Collective relaxation dynamics in a three-dimensional lattice glass model
• The distinguishable-particle lattice model of glasses in three dimensions
• Irreversible swap algorithms for soft sphere glasses