Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishWe consider the non-equilibrium dynamics of the East model, a linear chain of 0{1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbids ips of those spins whose left neighbor is 1. We focus on the glassy eects caused by the kinetic constraint as q # 0, where q is the equilibrium density of the 0 spins. Specically we analyze time scale separation and dynamic heterogeneity, i.e. non-trivial spatio-temporal uctuations of the local relaxation to equilibrium, one of the central aspects of glassy dynamics. For any mesoscopic length scale L = O(q ), < 1, we show that the characteristic time scales associated with two length scales d=q and d0=q are indeed separated by a factor q, = ( ) > 0, provided that d0=d is large enough independently of q. In particular, the evolution of mesoscopic domains, i.e. maximal blocks of the form 111 : : : 10, occurs on a time scale which depends sharply on the size of the domain, a clear signature of dynamic heterogeneity. Finally we show that no form of time scale separation can occur for = 1, i.e. at the equilibrium scale L = 1=q, contrary to what was previously assumed in the physical literature based on numerical simulations.
Chleboun P, Faggionato A, & Martinelli F (2013). Time scale separation in the low temperature East model: rigorous results. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, L04001.
| Titolo: | Time scale separation in the low temperature East model: rigorous results |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Rivista: | |
| Citazione: | Chleboun P, Faggionato A, & Martinelli F (2013). Time scale separation in the low temperature East model: rigorous results. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, L04001. |
| Abstract: | We consider the non-equilibrium dynamics of the East model, a linear chain of 0{1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbids ips of those spins whose left neighbor is 1. We focus on the glassy eects caused by the kinetic constraint as q # 0, where q is the equilibrium density of the 0 spins. Specically we analyze time scale separation and dynamic heterogeneity, i.e. non-trivial spatio-temporal uctuations of the local relaxation to equilibrium, one of the central aspects of glassy dynamics. For any mesoscopic length scale L = O(q ), < 1, we show that the characteristic time scales associated with two length scales d=q and d0=q are indeed separated by a factor q, = ( ) > 0, provided that d0=d is large enough independently of q. In particular, the evolution of mesoscopic domains, i.e. maximal blocks of the form 111 : : : 10, occurs on a time scale which depends sharply on the size of the domain, a clear signature of dynamic heterogeneity. Finally we show that no form of time scale separation can occur for = 1, i.e. at the equilibrium scale L = 1=q, contrary to what was previously assumed in the physical literature based on numerical simulations. |
| Handle: | http://hdl.handle.net/11590/141254 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11590/141254
Copyright © 2021