- Lattice Glass Model in Three Spatial Dimensions doi link

Auteur(s): Nishikawa Y.(Corresp.), Hukushima Koji

(Article) Publié: Physical Review Letters, vol. 125 p.065501 (2020)
Texte intégral en Openaccess : arxiv

Ref HAL: hal-03161197_v1
DOI: 10.1103/PhysRevLett.125.065501
WoS: WOS:000555785600008
Exporter : BibTex | endNote

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.