| Título: | Fixation for coarsening dynamics in 2D slabs |
| Autores: |
Damron, Michael; Indiana University Kogan, Hana; New York University Newman, Charles M.; New York University Sidoravicius, Vladas; IMPA |
| Fecha: | 2013-01-04 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Coarsening, Glauber Dynamics, Ising model 60K35, 82B43 |
| Descripción: | We study zero-temperature Ising Glauber Dynamics, on $2D$ slabs of thickness $k \geq 2$. In this model, $\pm 1$-valued spins at integer sites update according to majority vote dynamics with two opinions. We show that all spins reaches a final state (that is, the system fixates) for $k=2$ under free boundary conditions and for $k=2$ or $3$ under periodic boundary conditions. For thicker slabs there are sites that fixate and sites that do not. |
| Idioma: | Inglés |
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