DSpace - Tor Vergata: Item 2108/483

Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/483

Title:	Fuite de la métastabilité pour dynamiques stochastiques conservatives
Other Titles:	Fuga dalla metastabilità per dinamiche stocastiche conservative
Authors:	Cerf, Raphael Olivieri, Enzo Gaudillière, Alexandre
Keywords:	metastability conservative dynamics Kawasaki dynamics nucleation non-collision probability potential theory
Issue Date:	13-May-2008
Abstract:	We study the escape from metastability for a gas of particles under the conservative Kawasaki dynamics at low temperature and inside a two-dimensional box with exponentially large volume in the inverse temperature. We first analyse the typical trajectories followed by the system, in the local version of the model, during the first transition between metastability and stability. We describe geometrically the configurations along these typical trajectories and we show that the whole evolution goes, with very large probability, from “quasisquares” to larger “quasi-squares” and that the growing cluster of this nucleation process “wanders” around the box which it is contained in. In addition, along these trajectories, the fluctuations of the dimensions of the cluster are bounded: if a rectangle l×L circumscribes one of these clusters then L−l 1+2pL. We show that fluctuations of this order cannot be neglected: they take place with probabilities that are “non exponentially small...
Description:	19. ciclo
URI:	http://hdl.handle.net/2108/483
Appears in Collections:	Tesi di dottorato in scienze matematiche e fisiche

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