CAMPUS è l'Archivio istituzionale delle pubblicazioni scientifiche dell’Università di Camerino. E’ un sistema aperto, pubblico e interoperabile che raccoglie, conserva ed espone i dati relativi alle attività e ai prodotti della ricerca dell’Ateneo con lo scopo di migliorarne la visibilità e di favorirne l’impatto a livello nazionale e internazionale.
EnglishWe discuss the static and kinetic properties of a Ginzburg-Landau spherically symmetric O(N) model recently introduced [U. Marini Bettolo Marconi and A. Crisanti, Phys. Rev. Lett. 75, 2168 (1995)] in order to generalize the so-called phase field model of Langer [Rev. Mod. Phys. 52, 1 (1980); Science 243, 1150 (1989)]. The Hamiltonian contains two O(N) invariant fields phi and U bilinearly coupled. The order parameter field phi evolves according to a nonconserved dynamics, whereas the diffusive field U follows a conserved dynamics. In the limit N-->infinity we obtain an exact solution, which displays an interesting kinetic behavior characterized by three different growth regimes. In the early regime the system displays normal scaling and the average domain size grows as t(1/2), in the intermediate regime one observes a finite wave-vector instability, which is related to the Mullins-Sekerka instability; finally, in the late stage the structure function has a multiscaling behavior, while the domain size grows as t(1/4).
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Growth kinetics in a phase field model with continuous symmetry | |
| Autori: | ||
| Data di pubblicazione: | 1996 | |
| Rivista: | ||
| Abstract: | We discuss the static and kinetic properties of a Ginzburg-Landau spherically symmetric O(N) model recently introduced [U. Marini Bettolo Marconi and A. Crisanti, Phys. Rev. Lett. 75, 2168 (1995)] in order to generalize the so-called phase field model of Langer [Rev. Mod. Phys. 52, 1 (1980); Science 243, 1150 (1989)]. The Hamiltonian contains two O(N) invariant fields phi and U bilinearly coupled. The order parameter field phi evolves according to a nonconserved dynamics, whereas the diffusive field U follows a conserved dynamics. In the limit N-->infinity we obtain an exact solution, which displays an interesting kinetic behavior characterized by three different growth regimes. In the early regime the system displays normal scaling and the average domain size grows as t(1/2), in the intermediate regime one observes a finite wave-vector instability, which is related to the Mullins-Sekerka instability; finally, in the late stage the structure function has a multiscaling behavior, while the domain size grows as t(1/4). | |
| Handle: | http://hdl.handle.net/11581/241965 | |
| Appare nelle tipologie: | Articolo |
File in questo prodotto:
Copyright © 2022