We study metastability and nucleation for the Blume-Capel model: a Ferromagnetic nearest neighbor two-dimensional lattice system with spin variables taking values in {-1, 0, +1}. We consider large but finite volume, small Bred magnetic field it, and chemical potential lambda in the limit of zero temperature; we analyze the first excursion from the metastable -1 configuration to the stable +1 configuration. We compute the asymptotic behavior of the transition time and describe the typical tube of trajectories during the transition. We show that, unexpectedly, the mechanism of transition changes abruptly when the line ii = 2 lambda is crossed.
Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition / Cirillo, Emilio Nicola Maria; Enzo, Olivieri. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 83:3-4(1996), pp. 473-554. [10.1007/bf02183739]
Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition
CIRILLO, Emilio Nicola Maria;
1996
Abstract
We study metastability and nucleation for the Blume-Capel model: a Ferromagnetic nearest neighbor two-dimensional lattice system with spin variables taking values in {-1, 0, +1}. We consider large but finite volume, small Bred magnetic field it, and chemical potential lambda in the limit of zero temperature; we analyze the first excursion from the metastable -1 configuration to the stable +1 configuration. We compute the asymptotic behavior of the transition time and describe the typical tube of trajectories during the transition. We show that, unexpectedly, the mechanism of transition changes abruptly when the line ii = 2 lambda is crossed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.