CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate functional of the average flow is given by a variational formulation involving paths of the density and flow. We give sufficient conditions under which the large deviations of a given time averaged flow is determined by paths that are constant in time. We then consider a class of models on a discrete ring for which it is possible to show that a better strategy is obtained producing a time-dependent path. This phenomenon, called a dynamical phase transition, is known to occur for some particle systems in the hydrodynamic scaling limit, which is thus extended to the setting of a finite graph.
| Titolo: | Dynamical Phase Transitions for Flows on Finite Graphs | |
| Autori: | RENGER, DINGENIS ROELANT MICHIEL (Corresponding) | |
| Data di pubblicazione: | 2020 | |
| Rivista: | ||
| Handle: | http://hdl.handle.net/11697/152091 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| dynamic-flows-finite-graphs.pdf | file pubblicato | Documento in Versione Editoriale |  | Open Access Visualizza/Apri |
http://hdl.handle.net/11697/152091
Copyright © 2022