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.
EnglishA particle system with a single locally-conserved field (density) in a bounded interval with different densities maintained at the two endpoints of the interval is under study here. The particles interact in the bulk through a long-range potential parametrized by β 0 and evolve according to an exclusion rule. It is shown that the empirical particle density under the diffusive scaling solves a quasilinear integro-differential evolution equation with Dirichlet boundary conditions. The associated dynamical large deviation principle is proved. Furthermore, when β is small enough, it is also demonstrated that the empirical particle density obeys a law of large numbers with respect to the stationary measures (hydrostatic). The macroscopic particle density solves a non-local, stationary, transport equation.
Mourragui M, & Orlandi E (2013). Boundary driven Kawasaki process with long range interaction: dynamical large deviations and steady states. NONLINEARITY, 2013(26), 141-175 [10.1088/0951-7715/26/1/141].
| Titolo: | Boundary driven Kawasaki process with long range interaction: dynamical large deviations and steady states | |
| Autori: | ||
| Data di pubblicazione: | 2013 | |
| Rivista: | ||
| Citazione: | Mourragui M, & Orlandi E (2013). Boundary driven Kawasaki process with long range interaction: dynamical large deviations and steady states. NONLINEARITY, 2013(26), 141-175 [10.1088/0951-7715/26/1/141]. | |
| Abstract: | A particle system with a single locally-conserved field (density) in a bounded interval with different densities maintained at the two endpoints of the interval is under study here. The particles interact in the bulk through a long-range potential parametrized by β 0 and evolve according to an exclusion rule. It is shown that the empirical particle density under the diffusive scaling solves a quasilinear integro-differential evolution equation with Dirichlet boundary conditions. The associated dynamical large deviation principle is proved. Furthermore, when β is small enough, it is also demonstrated that the empirical particle density obeys a law of large numbers with respect to the stationary measures (hydrostatic). The macroscopic particle density solves a non-local, stationary, transport equation. | |
| Handle: | http://hdl.handle.net/11590/133843 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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