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 add a random bulk term, modeling the interaction with the impurities of the medium,to a standard functional in the gradient theory of phase transitions consisting of a gradient term with a double well potential. For the resulting functional we study the asymptotic properties of minimizers and minimal energy under a rescaling in space, i.e. on the macroscopic scale. By bounding the energy from below by a coarse-grained, discrete functional, we show that for a suitable strength of the random field the random energy functional has two types of random global minimizers, corresponding to two phases. Then we derive the macroscopic cost of low-energy ``excited'' states that correspond to a bubble of one phase surrounded by the opposite phase.
DIRR N, & ORLANDI E (2009). Sharp-interface limit of a Ginzburg-Landau functional with a random external field. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 41, 781-824.
| Titolo: | Sharp-interface limit of a Ginzburg-Landau functional with a random external field | |
| Autori: | ||
| Data di pubblicazione: | 2009 | |
| Rivista: | ||
| Citazione: | DIRR N, & ORLANDI E (2009). Sharp-interface limit of a Ginzburg-Landau functional with a random external field. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 41, 781-824. | |
| Abstract: | We add a random bulk term, modeling the interaction with the impurities of the medium,to a standard functional in the gradient theory of phase transitions consisting of a gradient term with a double well potential. For the resulting functional we study the asymptotic properties of minimizers and minimal energy under a rescaling in space, i.e. on the macroscopic scale. By bounding the energy from below by a coarse-grained, discrete functional, we show that for a suitable strength of the random field the random energy functional has two types of random global minimizers, corresponding to two phases. Then we derive the macroscopic cost of low-energy ``excited'' states that correspond to a bubble of one phase surrounded by the opposite phase. | |
| Handle: | http://hdl.handle.net/11590/140564 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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