Random pinning in glassy spin models with plaquette interactions Auteur(s): Jack Robert L., Berthier L. (Article) Publié: Physical Review E: Statistical, Nonlinear, And Soft Matter Physics, vol. 85 p.021120 (2012) Texte intégral en Openaccess : Ref HAL: hal-00685188_v1 PMID 22463166 Ref Arxiv: 1112.1536 DOI: 10.1103/PhysRevE.85.021120 WoS: 000300422300002 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 34 Citations Résumé: We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk relaxation to localisation in a single state. At low temperatures, both models exhibit scaling behaviour. We discuss the growing length and time scales associated with amorphous order, and the fraction of pinned spins required to localize the system in a single state. These results, obtained for finite dimensional interacting models, provide a theoretical scenario for the effect of random pinning that differs qualitatively from previous approaches based either on mean-field, mode-coupling, or renormalization group reatments. Commentaires: 15 pages, 9 figs Journal: Phys. Rev. E 85, 021120 (2012) |