Finite-dimensional vestige of spinodal criticality above the dynamical glass transition Auteur(s): Berthier L., Charbonneau Patrick, Kundu Joyjit
Ref HAL: hal-02986305_v1 PMID 32955295 Ref Arxiv: 1912.11510 DOI: 10.1103/PhysRevLett.125.108001 WoS: 000564051900012 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 5 Citations Résumé: Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally activated processes that also limit how close the instability can be approached. We combine numerical tools to directly observe vestiges of the spinodal criticality in finite-dimensional glass formers. We use the swap Monte Carlo algorithm to efficiently thermalise configurations beyond the mode-coupling crossover, and analyze their dynamics using a scheme to screen out activated processes, in spatial dimensions ranging from $d=3$ to $d=9$. We observe a strong softening of the mean-field square-root singularity in $d=3$ that is progressively restored as $d$ increases above $d=8$, in surprisingly good agreement with perturbation theory. |