Year: 2024
Type: article
Abstract: The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a fraction of spins of the system is permanently blocked, and the remaining "free" spins become nontrivially correlated. We compute several observables of the ergodicity-broken phase, such as the self-overlap, the configurational entropy, and the spin-glass susceptibility, and we compare the analytical predictions with numerical experiments. The cavity equations that we obtain allow us to define algorithms for fast equilibration and accelerated dynamics. We find that at variance with spin-glass models, the correlations inside a state do not exhibit a critical behavior.
Source: Physical review. E
Authors: Gianmarco Perrupato, Tommaso Rizzo
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
Funder: Simons Foundation
Award: G2035271726
OpenAlex ID: W4403636982