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)